Question

What exactly is the CW complex structure on a geometric realisation?

score 595 · Answer 1 · 2026-03-28 10:01:35

595

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What exactly is the CW complex structure on a geometric realisation?

Published on 28 Mar 2026 - 10:01

score 58 · Answer 2 · 2013-03-17 22:02:35

58

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Paths between 0-cells in a classifying space.

Published on 17 Mar 2013 - 22:02

score 46 · Answer 3 · 2013-03-18 00:43:55

46

Views

Paths between 0-cells in a classifying space. II

Published on 18 Mar 2013 - 0:43

score 134 · Answer 4 · 2020-08-01 05:45:15

134

Views

motivation and applications of barycentric subdivision of a simplicial complex

Published on 01 Aug 2020 - 5:45

score 344 · Answer 5 · 2020-08-04 06:50:55

344

Views

Geomtric Realization as Colimit

Published on 04 Aug 2020 - 6:50

score 83 · Answer 6 · 2026-03-25 12:55:04

83

Views

The infinite loop space associated to the spectrum associated to a special $\Gamma$-space

Published on 25 Mar 2026 - 12:55

score 87 · Answer 7 · 2020-08-05 12:57:22

87

Views

Proving that the set $\pi_n(X,v)$ is a group (Goerss and Jardine Theorem 7.2)

Published on 05 Aug 2020 - 12:57

score 69 · Answer 8 · 2020-08-10 16:56:29

69

Views

Correspondence of left and right homotopies produces a homotopy of maps $A\times I \to X^I$ (Hovey, Lemma 6.1.5)

Published on 10 Aug 2020 - 16:56

score 65 · Answer 9 · 2020-08-13 03:44:31

65

Views

Reference or counterexample: simplicial algebra isomorphism

Published on 13 Aug 2020 - 3:44

score 117 · Answer 10 · 2026-03-26 01:17:58

117

Views

A motivating argument for studying determinants of $2\times 2$ matrices with prime entries in relation to Goldbach's conjecture.

Published on 26 Mar 2026 - 1:17

score 92 · Answer 11 · 2020-08-19 19:14:06

92

Views

Proving the adjunction $\text{ev}_0 \dashv r:\mathcal{C}^{\Delta} \to \mathcal{C}$

Published on 19 Aug 2020 - 19:14

score 105 · Answer 12 · 2020-08-22 19:03:08

105

Views

Does every representable functor in $\text{Psh}(\mathcal{C}\times{\mathcal{\Delta}})$ have a weak equivalence to $h_{(c,0)}$?

Published on 22 Aug 2020 - 19:03

score 66 · Answer 13 · 2020-08-22 20:43:35

66

Views

Can the geometric realization increase the dimension?

Published on 22 Aug 2020 - 20:43

score 161 · Answer 14 · 2020-08-30 10:01:04

161

Views

Morphisms of a Simplex Category of a simplicial set.

Published on 30 Aug 2020 - 10:01

score 161 · Answer 15 · 2026-02-23 04:49:48

161

Views

Are extensions of simplicial objects to functors $\mathsf{sSet} \to \mathsf{C}$ Kan extensions?

Published on 23 Feb 2026 - 4:49

List Question

What exactly is the CW complex structure on a geometric realisation?

Paths between 0-cells in a classifying space.

Paths between 0-cells in a classifying space. II

motivation and applications of barycentric subdivision of a simplicial complex

Geomtric Realization as Colimit

The infinite loop space associated to the spectrum associated to a special $\Gamma$-space

Proving that the set $\pi_n(X,v)$ is a group (Goerss and Jardine Theorem 7.2)

Correspondence of left and right homotopies produces a homotopy of maps $A\times I \to X^I$ (Hovey, Lemma 6.1.5)

Reference or counterexample: simplicial algebra isomorphism

A motivating argument for studying determinants of $2\times 2$ matrices with prime entries in relation to Goldbach's conjecture.

Proving the adjunction $\text{ev}_0 \dashv r:\mathcal{C}^{\Delta} \to \mathcal{C}$

Does every representable functor in $\text{Psh}(\mathcal{C}\times{\mathcal{\Delta}})$ have a weak equivalence to $h_{(c,0)}$?

Can the geometric realization increase the dimension?

Morphisms of a Simplex Category of a simplicial set.

Are extensions of simplicial objects to functors $\mathsf{sSet} \to \mathsf{C}$ Kan extensions?

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