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META TOPICPARENT |
name="WebHome" |
-- Main.ebs22 - 2016-01-07 -- Main.srs74 - 2015-12-22 |
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- c - If Δ has 8 singular vertices and m of them are Klein bottles, then g2 ≥ 2 χ - 10 + (m/3)
- d - If Δ has 8 singular vertices and any of them are real projective planes, then g2 ≥ 2 χ - 7
- e - If Δ has 8 singular vertices including 3 projective planes and 2 Klein bottles, then g2 ≥ 2 χ - 5
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< < |
- f - Combine a with the fact that if v and w are two vertices which do not share an edge, then g2(Δ) ≥ g2 (link v) + g2 (link w)
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f-vector - A nonempty entry indicates that all possible f-vectors for complexes with the given singular vertices is known. |
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<-- /editTable --> |
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< < |
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10_0_0_0_0_0_0_0_10 |
20 |
5 |
15 |
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19,[2] |
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f |
10 |
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10_0_0_0_0_0_0_0_6_0_4 |
22 |
1 |
15 |
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21,[2] |
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a,f |
10 |
* |
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10_0_0_0_0_0_2_0_8 |
19 |
2 |
15 |
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18,[2] |
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f |
10 |
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10_0_0_0_0_0_3_0_6_0_1 |
19 |
2 |
15 |
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18,[2] |
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a,f |
10 |
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10_0_0_0_0_0_4_0_6 |
18 |
9 |
15 |
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17,[2] |
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f |
10 |
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10_0_0_0_0_0_6_0_4 |
17 |
14 |
15 |
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16,[2] |
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f |
10 |
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10_0_0_0_0_0_8_0_2 |
16 |
9 |
15 |
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15,[2] |
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f |
10 |
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10_0_0_0_0_0_10_0_0 |
15 |
1 |
15 |
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14,[2] |
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f |
10 |
* |
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10_0_0_0_1_0_4_0_5 |
17 |
3 |
15 |
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16,[2] |
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f |
10 |
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10_0_0_0_1_0_5_0_3_0_1 |
17 |
1 |
15 |
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16,[2] |
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a,f |
10 |
* |
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10_0_0_0_1_0_6_0_3 |
16 |
29 |
15 |
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15,[2] |
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f |
10 |
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10_0_0_0_1_0_7_0_1_0_1 |
16 |
1 |
15 |
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15,[2] |
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a,f |
10 |
* |
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10_0_0_0_1_0_8_0_1 |
15 |
24 |
15 |
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14,[2] |
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f |
10 |
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> > |
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10_0_0_0_0_0_0_0_10 |
20 |
5 |
15 |
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19,[2] |
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10_0_0_0_0_0_0_0_6_0_4 |
22 |
1 |
15 |
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21,[2] |
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a |
10 |
* |
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10_0_0_0_0_0_2_0_8 |
19 |
2 |
15 |
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18,[2] |
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10 |
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10_0_0_0_0_0_3_0_6_0_1 |
19 |
2 |
15 |
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18,[2] |
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a |
10 |
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10_0_0_0_0_0_4_0_6 |
18 |
9 |
15 |
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17,[2] |
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10_0_0_0_0_0_6_0_4 |
17 |
14 |
15 |
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16,[2] |
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10_0_0_0_0_0_8_0_2 |
16 |
9 |
15 |
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15,[2] |
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10_0_0_0_0_0_10_0_0 |
15 |
1 |
15 |
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14,[2] |
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* |
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10_0_0_0_1_0_4_0_5 |
17 |
3 |
15 |
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16,[2] |
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10_0_0_0_1_0_5_0_3_0_1 |
17 |
1 |
15 |
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16,[2] |
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a |
10 |
* |
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10_0_0_0_1_0_6_0_3 |
16 |
29 |
15 |
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15,[2] |
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10 |
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10_0_0_0_1_0_7_0_1_0_1 |
16 |
1 |
15 |
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15,[2] |
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a |
10 |
* |
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10_0_0_0_1_0_8_0_1 |
15 |
24 |
15 |
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14,[2] |
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10 |
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10_0_0_0_2_0_2_0_6 |
17 |
2 |
15 |
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16,[2] |
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< < |
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10_0_0_0_2_0_4_0_4 |
16 |
45 |
14 |
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15,[2] |
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f |
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10_0_0_0_2_0_6_0_2 |
15 |
90 |
14 |
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14,[2] |
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f |
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10_0_0_0_2_0_8_0_0 |
14 |
63 |
14 |
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13,[2] |
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f |
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> > |
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10_0_0_0_2_0_4_0_4 |
16 |
45 |
14 |
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15,[2] |
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10_0_0_0_2_0_6_0_2 |
15 |
90 |
14 |
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14,[2] |
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10_0_0_0_2_0_8_0_0 |
14 |
63 |
14 |
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13,[2] |
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10_0_0_0_3_0_2_0_5 |
16 |
3 |
15 |
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15,[2] |
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10_0_0_0_3_0_3_0_3_0_1 |
16 |
1 |
15 |
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15,[2] |
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a |
10 |
* |
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10_0_0_0_3_0_4_0_3 |
15 |
89 |
14 |
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14,[2] |
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10_0_0_0_6_0_0_0_4 |
14 |
2 |
15 |
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13,[2] |
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10_0_0_0_6_0_2_0_2 |
13 |
125 |
13 |
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12,[2] |
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10_0_0_0_6_0_3_0_0_0_1 |
13 |
7 |
15 |
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12,[2] |
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a |
10 |
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< < |
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10_0_0_0_6_0_4_0_0 |
12 |
675 |
12 |
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11,[2] |
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f |
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> > |
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10_0_0_0_6_0_4_0_0 |
12 |
675 |
12 |
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11,[2] |
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10_0_0_0_7_0_0_0_3 |
13 |
13 |
14 |
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12,[2] |
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10_0_0_0_7_0_1_0_1_0_1 |
13 |
4 |
15 |
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12,[2] |
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a |
10 |
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10_0_0_0_7_0_2_0_1 |
12 |
243 |
14 |
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11,[2] |
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10_0_0_0_8_0_2_0_0 |
11 |
876 |
13 |
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10,[2] |
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10_0_0_0_9_0_0_0_1 |
11 |
38 |
14 |
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10,[2] |
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10_0_0_0_10_0_0_0_0 |
10 |
43 |
14 |
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9,[2] |
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< < |
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10_0_0_1_0_0_2_0_7 |
18 |
1 |
15 |
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17,[2] |
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f |
10 |
* |
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10_0_0_1_0_0_4_0_5 |
17 |
6 |
15 |
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16,[2] |
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f |
10 |
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10_0_0_1_0_0_6_0_3 |
16 |
27 |
15 |
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15,[2] |
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f |
10 |
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10_0_0_1_0_0_8_0_1 |
15 |
13 |
15 |
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14,[2] |
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f |
10 |
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> > |
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10_0_0_1_0_0_2_0_7 |
18 |
1 |
15 |
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17,[2] |
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* |
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10_0_0_1_0_0_4_0_5 |
17 |
6 |
15 |
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16,[2] |
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10_0_0_1_0_0_6_0_3 |
16 |
27 |
15 |
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15,[2] |
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10_0_0_1_0_0_8_0_1 |
15 |
13 |
15 |
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14,[2] |
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10_0_0_1_1_0_2_0_6 |
17 |
1 |
15 |
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16,[2] |
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* |
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10_0_0_1_1_0_3_0_4_0_1 |
17 |
2 |
15 |
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16,[2] |
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a |
10 |
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< < |
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10_0_0_1_1_0_4_0_4 |
16 |
52 |
14 |
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15,[2] |
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f |
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> > |
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10_0_0_1_1_0_4_0_4 |
16 |
52 |
14 |
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15,[2] |
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10_0_0_1_1_0_5_0_2_0_1 |
16 |
2 |
15 |
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15,[2] |
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a |
10 |
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< < |
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10_0_0_1_1_0_6_0_2 |
15 |
115 |
14 |
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14,[2] |
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f |
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> > |
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10_0_0_1_1_0_6_0_2 |
15 |
115 |
14 |
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14,[2] |
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10_0_0_1_1_0_8_0_0 |
14 |
47 |
15 |
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13,[2] |
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10_0_0_1_2_0_0_0_7 |
17 |
1 |
15 |
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16,[2] |
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* |
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10_0_0_1_2_0_2_0_5 |
16 |
18 |
15 |
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15,[2] |
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10_0_0_1_7_0_2_0_0 |
11 |
1411 |
14 |
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10,[2] |
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10_0_0_1_8_0_0_0_1 |
11 |
63 |
14 |
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10,[2] |
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10_0_0_1_9_0_0_0_0 |
10 |
67 |
14 |
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9,[2] |
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< < |
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10_0_0_2_0_0_0_0_8 |
18 |
5 |
14 |
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17,[2] |
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f |
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> > |
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10_0_0_2_0_0_0_0_8 |
18 |
5 |
14 |
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17,[2] |
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10_0_0_2_0_0_2_0_6 |
17 |
3 |
15 |
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16,[2] |
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< < |
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10_0_0_2_0_0_4_0_4 |
16 |
26 |
14 |
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15,[2] |
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f |
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10_0_0_2_0_0_6_0_2 |
15 |
44 |
14 |
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14,[2] |
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f |
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10_0_0_2_0_0_8_0_0 |
14 |
24 |
14 |
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13,[2] |
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f |
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> > |
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10_0_0_2_0_0_4_0_4 |
16 |
26 |
14 |
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15,[2] |
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10_0_0_2_0_0_6_0_2 |
15 |
44 |
14 |
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14,[2] |
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10_0_0_2_0_0_8_0_0 |
14 |
24 |
14 |
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13,[2] |
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10_0_0_2_1_0_2_0_5 |
16 |
16 |
15 |
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15,[2] |
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10_0_0_2_1_0_4_0_3 |
15 |
73 |
15 |
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14,[2] |
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10_0_0_2_1_0_6_0_1 |
14 |
194 |
14 |
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13,[2] |
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10_0_2_2_0_0_2_0_4 |
14 |
11 |
14 |
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13,[2] |
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10_0_2_2_0_0_3_0_2_0_1 |
14 |
1 |
15 |
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13,[2] |
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a |
10 |
* |
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10_0_2_2_0_0_4_0_2 |
13 |
101 |
13 |
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12,[2] |
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< < |
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10_0_2_2_0_0_6_0_0 |
12 |
366 |
11 |
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11,[2] |
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f |
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> > |
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10_0_2_2_0_0_6_0_0 |
12 |
366 |
11 |
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11,[2] |
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10_0_2_2_1_0_0_0_5 |
14 |
1 |
15 |
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13,[2] |
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* |
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10_0_2_2_1_0_2_0_3 |
13 |
92 |
14 |
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12,[2] |
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10_0_2_2_1_0_3_0_1_0_1 |
13 |
4 |
15 |
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12,[2] |
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a |
10 |
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10_1_0_0_7_0_1_0_0_0_1 |
11 |
9 |
15 |
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10,[2] |
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a |
10 |
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10_1_0_0_7_0_2_0_0 |
10 |
1586 |
11 |
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9,[2] |
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10_1_0_0_8_0_0_0_1 |
10 |
86 |
13 |
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9,[2] |
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< < |
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10_1_0_0_9_0_0_0_0 |
9 |
447 |
10 |
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8,[2] |
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f |
9 |
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> > |
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10_1_0_0_9_0_0_0_0 |
9 |
447 |
10 |
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8,[2] |
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10_1_0_1_0_0_6_0_2 |
14 |
2 |
15 |
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13,[2] |
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10_1_0_1_1_0_4_0_3 |
14 |
1 |
15 |
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13,[2] |
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* |
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10_1_0_1_1_0_6_0_1 |
13 |
13 |
15 |
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12,[2] |
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10_1_0_1_6_0_1_0_0_0_1 |
11 |
7 |
15 |
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10,[2] |
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a |
10 |
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10_1_0_1_6_0_2_0_0 |
10 |
4184 |
12 |
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9,[2] |
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10_1_0_1_7_0_0_0_1 |
10 |
232 |
13 |
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9,[2] |
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a' |
10, #1,β |
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< < |
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10_1_0_1_8_0_0_0_0 |
9 |
1743 |
10 |
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8,[2] |
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f |
9 |
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> > |
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10_1_0_1_8_0_0_0_0 |
9 |
1743 |
10 |
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8,[2] |
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10_1_0_2_0_0_4_0_3 |
14 |
1 |
15 |
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13,[2] |
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* |
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10_1_0_2_0_0_6_0_1 |
13 |
2 |
15 |
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12,[2] |
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10_1_0_2_1_0_4_0_2 |
13 |
31 |
15 |
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12,[2] |
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10_1_0_3_4_0_1_0_0_0_1 |
11 |
15 |
15 |
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10,[2] |
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a |
10 |
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10_1_0_3_4_0_2_0_0 |
10 |
11726 |
11 |
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9,[2] |
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10_1_0_3_5_0_0_0_1 |
10 |
776 |
12 |
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9,[2] |
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a |
10, #2 |
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< < |
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10_1_0_3_6_0_0_0_0 |
9 |
5697 |
10 |
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8,[2] |
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f |
9 |
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> > |
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10_1_0_3_6_0_0_0_0 |
9 |
5697 |
10 |
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8,[2] |
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10_1_0_4_0_0_0_0_5 |
14 |
3 |
15 |
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13,[2] |
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10_1_0_4_0_0_2_0_3 |
13 |
1 |
15 |
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12,[2] |
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* |
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10_1_0_4_0_0_4_0_1 |
12 |
83 |
13 |
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11,[2] |
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10_1_0_5_2_0_1_0_0_0_1 |
11 |
1 |
15 |
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10,[2] |
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a |
10 |
* |
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10_1_0_5_2_0_2_0_0 |
10 |
2559 |
12 |
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9,[2] |
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10_1_0_5_3_0_0_0_1 |
10 |
944 |
12 |
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9,[2] |
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a |
10, #4 |
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< < |
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10_1_0_5_4_0_0_0_0 |
9 |
7808 |
10 |
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8,[2] |
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f |
9 |
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> > |
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10_1_0_5_4_0_0_0_0 |
9 |
7808 |
10 |
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8,[2] |
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