List questions from simplicial-complex

Published on 25 Mar 2026 - 14:02

766

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Understanding homology groups and generators of a torus.

Published on 22 Jun 2021 - 10:34

102

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Which simple data structure may be used to represent a simplicial complex?

Published on 23 Jun 2021 - 14:41

371

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What is the motivation for defining and working with the simplex category?

Published on 27 Jun 2021 - 22:11

188

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Homotopy on abstract simplicial complexes vs simplicial sets

Published on 12 Jul 2021 - 21:56

46

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Counting number of vertices in a simplicial complex

Published on 27 Mar 2026 - 7:19

252

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Every CW complex is homotopically equivalent to a simplicial complex

Published on 21 Aug 2021 - 22:54

111

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Simplicial complex with prescribed fundamental group

Published on 24 Aug 2021 - 8:53

61

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Triangulations of $3$-dimensional Manifold: Which Topology?

Published on 27 Mar 2026 - 8:56

50

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persistent homology: how sensitive is the persistent homology of a dataset to reorderings of the elements in vector.

Published on 25 Mar 2026 - 14:08

71

Views

Pareto-optimal front $F$ in $m$-dimensional space can not have more than $\mathbf{H}_{m-2}(F)$ homology groups

Published on 28 Aug 2021 - 1:43

127

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Is a $PL$-manifold necessarily a pure simplicial complex?

Published on 12 Sep 2021 - 23:49

163

Views

The reason why Vietoris-Rips complexes includes $k-$simplex when it has all of $ k-1$ simplices

Published on 18 Sep 2021 - 21:26

237

Views

Common subdivision of two simplicial subcomplexes (on the way to topological invariance of simplicial homology)

Published on 21 Sep 2021 - 15:09

66

Views

Does the f-vector of a simplicial complex on n vertices always satisfy f_i >= f_{n-1-i} for i < n/2?

Published on 21 Sep 2021 - 19:20

List Question

Persistent Homology Betti Numbers definition

Understanding homology groups and generators of a torus.

Which simple data structure may be used to represent a simplicial complex?

What is the motivation for defining and working with the simplex category?

Homotopy on abstract simplicial complexes vs simplicial sets

Counting number of vertices in a simplicial complex

Every CW complex is homotopically equivalent to a simplicial complex

Simplicial complex with prescribed fundamental group

Triangulations of $3$-dimensional Manifold: Which Topology?

persistent homology: how sensitive is the persistent homology of a dataset to reorderings of the elements in vector.

Pareto-optimal front $F$ in $m$-dimensional space can not have more than $\mathbf{H}_{m-2}(F)$ homology groups

Is a $PL$-manifold necessarily a pure simplicial complex?

The reason why Vietoris-Rips complexes includes $k-$simplex when it has all of $ k-1$ simplices

Common subdivision of two simplicial subcomplexes (on the way to topological invariance of simplicial homology)

Does the f-vector of a simplicial complex on n vertices always satisfy f_i >= f_{n-1-i} for i < n/2?

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