Question

Simplicial homotopy theory,fibration,uncelar proof

score 119 · Answer 1 · 2026-03-25 21:22:10

119

Views

Simplicial homotopy theory,fibration,uncelar proof

Published on 25 Mar 2026 - 21:22

score 651 · Answer 2 · 2026-03-25 01:14:12

651

Views

The difference between weak Kan complexes and Kan complexes

Published on 25 Mar 2026 - 1:14

score 151 · Answer 3 · 2017-01-26 15:32:56

151

Views

Why does a 2 simplex define a chain homotopy?

Published on 26 Jan 2017 - 15:32

score 40 · Answer 4 · 2017-01-27 03:44:00

40

Views

Is there an action of the strict infinity groupoid of the base on the chain groups of the fiber $C^*(F)$?

Published on 27 Jan 2017 - 3:44

score 53 · Answer 5 · 2017-02-13 22:31:46

53

Views

Five lemma for fibre sequences in simplicial sets

Published on 13 Feb 2017 - 22:31

score 194 · Answer 6 · 2017-03-02 22:32:47

194

Views

Simplicial formula for (co)homology cross product

Published on 02 Mar 2017 - 22:32

score 102 · Answer 7 · 2017-03-03 19:21:22

102

Views

Why 2 out of 6 property is stronger then 2 out of 3 property

Published on 03 Mar 2017 - 19:21

score 103 · Answer 8 · 2017-03-04 17:48:14

103

Views

Any functor F equipped with a natural weak equivalence to or from the identity functor is homotopical by the 2-of-3 property.

Published on 04 Mar 2017 - 17:48

score 539 · Answer 9 · 2017-03-08 16:39:03

539

Views

Completing a delta set to a simplicial set

Published on 08 Mar 2017 - 16:39

score 439 · Answer 10 · 2017-03-17 15:56:23

439

Views

On the 1-simplex not being fibrant: How can I see this directly?

Published on 17 Mar 2017 - 15:56

score 89 · Answer 11 · 2026-03-25 23:52:32

89

Views

How does an augmentation of a cosimplicial space give an augmentation of its realization tower?

Published on 25 Mar 2026 - 23:52

score 47 · Answer 12 · 2026-03-26 17:32:57

47

Views

Intuition about axiomatic description of gluing

Published on 26 Mar 2026 - 17:32

score 56 · Answer 13 · 2026-03-26 13:57:54

56

Views

$\mathfrak{h}(\mathcal{G}^{\Delta^1})$ is the category of commutative squares in $\mathfrak{h}\mathcal{G}$

Published on 26 Mar 2026 - 13:57

score 99 · Answer 14 · 2026-03-26 17:33:34

99

Views

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 26 Mar 2026 - 17:33

score 93 · Answer 15 · 2026-03-26 23:51:53

93

Views

Epimorphism in simplex category is split

Published on 26 Mar 2026 - 23:51

List Question

Simplicial homotopy theory,fibration,uncelar proof

The difference between weak Kan complexes and Kan complexes

Why does a 2 simplex define a chain homotopy?

Is there an action of the strict infinity groupoid of the base on the chain groups of the fiber $C^*(F)$?

Five lemma for fibre sequences in simplicial sets

Simplicial formula for (co)homology cross product

Why 2 out of 6 property is stronger then 2 out of 3 property

Any functor F equipped with a natural weak equivalence to or from the identity functor is homotopical by the 2-of-3 property.

Completing a delta set to a simplicial set

On the 1-simplex not being fibrant: How can I see this directly?

How does an augmentation of a cosimplicial space give an augmentation of its realization tower?

Intuition about axiomatic description of gluing

$\mathfrak{h}(\mathcal{G}^{\Delta^1})$ is the category of commutative squares in $\mathfrak{h}\mathcal{G}$

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.

Epimorphism in simplex category is split

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