List questions from simplicial-complex

Published on 27 Oct 2016 - 8:05

691

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Why is the first homology group of the torus is $\mathbb{Z}\oplus\mathbb{Z}$ instead of $\mathbb{Z}*\mathbb{Z}$ or $\mathbb{Z}\times\mathbb{Z}$?

Published on 31 Oct 2016 - 2:29

95

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Check my working: how could $H_1^\Delta(T)=\mathbb{Z}_2$?

Published on 31 Oct 2016 - 4:04

247

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Converting a $1$-connected simplicial complex into a $1$-reduced simplicial set

Published on 04 Nov 2016 - 21:24

58

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Munkres chapter 15 Lemma 15.1

Published on 08 Nov 2016 - 16:43

57

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Is there a name for the set of the pair/impair equivalence classes of the permutations of a set?

Published on 12 Nov 2016 - 5:40

52

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Universal property for chain maps

Published on 15 Nov 2016 - 4:48

161

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Help in understanding definition of algebraic topology

Published on 02 Dec 2016 - 15:12

250

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"Simplicial" Bordism Homology

Published on 25 Mar 2026 - 17:52

30

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Does this graph-like object (related to a simplicial complex) have a canonical classification?

Published on 09 Jan 2017 - 14:56

1.1k

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Simplicial cohomology of the real projective plane by direct computation

Published on 20 Jan 2017 - 15:08

245

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Simplicial complexes of linear independencies

Published on 25 Jan 2017 - 11:52

21

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Can homology record the existence of a hole built from nonnegative combinations of simplicies?

Published on 12 Feb 2017 - 22:54

787

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Planar graph with triangular faces in which the link of every vertex bounds a face

Published on 22 Feb 2017 - 10:52

125

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k-connectedness of simplicial complexes

Published on 12 Mar 2017 - 21:05

List Question

Topology of simplicial complexes

Why is the first homology group of the torus is $\mathbb{Z}\oplus\mathbb{Z}$ instead of $\mathbb{Z}*\mathbb{Z}$ or $\mathbb{Z}\times\mathbb{Z}$?

Check my working: how could $H_1^\Delta(T)=\mathbb{Z}_2$?

Converting a $1$-connected simplicial complex into a $1$-reduced simplicial set

Munkres chapter 15 Lemma 15.1

Is there a name for the set of the pair/impair equivalence classes of the permutations of a set?

Universal property for chain maps

Help in understanding definition of algebraic topology

"Simplicial" Bordism Homology

Does this graph-like object (related to a simplicial complex) have a canonical classification?

Simplicial cohomology of the real projective plane by direct computation

Simplicial complexes of linear independencies

Can homology record the existence of a hole built from nonnegative combinations of simplicies?

Planar graph with triangular faces in which the link of every vertex bounds a face

k-connectedness of simplicial complexes

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