List questions from simplicial-complex

Published on 25 Mar 2026 - 17:38

65

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How is the homomorphism $b: LC_n(Y) \to LC_{n+1}(Y)$ where $b[w_0\cdots w_n] \mapsto [bw_0\cdots w_n]$ well-defined?

Published on 25 Mar 2026 - 17:41

147

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Problem on simplicial complexes.

Published on 19 Mar 2019 - 21:38

278

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Higher cup-1 product of coboundaries is also a coboundary?

Published on 23 Mar 2019 - 15:55

473

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Horn of a Simplicial Set

Published on 26 Mar 2019 - 11:42

68

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recovering the information of the vertices from a simplex

Published on 25 Mar 2026 - 17:39

1.3k

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Necessary condition on homology group of a set to be contractible

Published on 31 Mar 2019 - 2:07

264

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Poincare dual simplicial structure of complexes homotopy equivalent to manifolds

Published on 23 Feb 2026 - 1:07

680

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Let $K$ be a simplicial complex (that need not be finite). Prove $|K|$ is Hausdorff.

Published on 03 Apr 2019 - 2:13

401

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Components of $\mathbb{S}^2$ as a closed combinatorial surface.

Published on 03 Apr 2019 - 20:11

404

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Proving a weaker version of the Jordan Curve Theorem (by induction)

Published on 04 Apr 2019 - 18:03

218

Views

Show that all triangulations of a compact surface are equivalent

Published on 07 Apr 2019 - 17:03

68

Views

Elementary proposition on triangulations

Published on 25 Mar 2026 - 9:32

59

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How to prove the following homology group isomorphism?

Published on 17 Apr 2019 - 6:54

882

Views

Why does the Betti number give the measure of k-dimensional holes?

Published on 25 Mar 2026 - 1:06

List Question

Is this a non-example of a $\Delta$-complex?

How is the homomorphism $b: LC_n(Y) \to LC_{n+1}(Y)$ where $b[w_0\cdots w_n] \mapsto [bw_0\cdots w_n]$ well-defined?

Problem on simplicial complexes.

Higher cup-1 product of coboundaries is also a coboundary?

Horn of a Simplicial Set

recovering the information of the vertices from a simplex

Necessary condition on homology group of a set to be contractible

Poincare dual simplicial structure of complexes homotopy equivalent to manifolds

Let $K$ be a simplicial complex (that need not be finite). Prove $|K|$ is Hausdorff.

Components of $\mathbb{S}^2$ as a closed combinatorial surface.

Proving a weaker version of the Jordan Curve Theorem (by induction)

Show that all triangulations of a compact surface are equivalent

Elementary proposition on triangulations

How to prove the following homology group isomorphism?

Why does the Betti number give the measure of k-dimensional holes?

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