Question

Let K be a simplicial complex and σ a simplex of K. Show that the link lk(σ) is a subcomplex of K, if lk(σ) is not empty.

score 98 · Answer 1 · 2023-03-07 00:11:11

98

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Let K be a simplicial complex and σ a simplex of K. Show that the link lk(σ) is a subcomplex of K, if lk(σ) is not empty.

Published on 07 Mar 2023 - 0:11

score 49 · Answer 2 · 2023-03-13 11:00:41

49

Views

Non-metrizability of specific polyhedron by showing that first countability axiom fails (Munkres ETA, exercise 2.4, p. 14)

Published on 13 Mar 2023 - 11:00

score 67 · Answer 3 · 2023-03-26 19:27:13

67

Views

Does this abstract simplicial complex has a name?

Published on 26 Mar 2023 - 19:27

score 107 · Answer 4 · 2023-04-07 22:59:38

107

Views

Historical origins of the Čech complex

Published on 07 Apr 2023 - 22:59

score 88 · Answer 5 · 2023-04-19 15:49:42

88

Views

Prove or give a counterexample: If K is a simplicial complex and L ⊂ K is a subcomplex with L ≠ K, then the complement K − L is also a subcomplex of K

Published on 19 Apr 2023 - 15:49

score 228 · Answer 6 · 2023-05-11 19:53:33

228

Views

When is simplicial complex a manifold?

Published on 11 May 2023 - 19:53

score 35 · Answer 7 · 2023-05-13 22:16:49

35

Views

what is the simplicial surface of the word $ab^{-1}c^{-1}a^{-1}cb$

Published on 13 May 2023 - 22:16

score 63 · Answer 8 · 2023-05-16 20:50:10

63

Views

simplicial complexes and associated ideals

Published on 16 May 2023 - 20:50

score 59 · Answer 9 · 2023-06-08 22:38:25

59

Views

Which simplicial complexes are completely determined by the 1-skeleton of their dual cell complexes?

Published on 08 Jun 2023 - 22:38

score 143 · Answer 10 · 2023-06-23 09:18:53

143

Views

Homotopy type of the realization of the order complex of a topology

Published on 23 Jun 2023 - 9:18

score 28 · Answer 11 · 2023-07-03 17:22:09

28

Views

Analog of simplicial sets for space gluing from arbitrary convex polyhedra

Published on 03 Jul 2023 - 17:22

score 93 · Answer 12 · 2023-07-06 12:15:33

93

Views

Simplicial polyhedral fans and shellability

Published on 06 Jul 2023 - 12:15

score 49 · Answer 13 · 2026-03-25 11:13:22

49

Views

Counter-example involving 2-out-of-3 property for simplicial collapses

Published on 25 Mar 2026 - 11:13

score 38 · Answer 14 · 2023-07-25 12:54:37

38

Views

Is the boundary of a component of a topological space connected?

Published on 25 Jul 2023 - 12:54

score 61 · Answer 15 · 2026-03-25 09:31:44

61

Views

Short exact sequence of persistence modules

Published on 25 Mar 2026 - 9:31

List Question

Let K be a simplicial complex and σ a simplex of K. Show that the link lk(σ) is a subcomplex of K, if lk(σ) is not empty.

Non-metrizability of specific polyhedron by showing that first countability axiom fails (Munkres ETA, exercise 2.4, p. 14)

Does this abstract simplicial complex has a name?

Historical origins of the Čech complex

Prove or give a counterexample: If K is a simplicial complex and L ⊂ K is a subcomplex with L ≠ K, then the complement K − L is also a subcomplex of K

When is simplicial complex a manifold?

what is the simplicial surface of the word $ab^{-1}c^{-1}a^{-1}cb$

simplicial complexes and associated ideals

Which simplicial complexes are completely determined by the 1-skeleton of their dual cell complexes?

Homotopy type of the realization of the order complex of a topology

Analog of simplicial sets for space gluing from arbitrary convex polyhedra

Simplicial polyhedral fans and shellability

Counter-example involving 2-out-of-3 property for simplicial collapses

Is the boundary of a component of a topological space connected?

Short exact sequence of persistence modules

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