Question

How to prove that the slice category over a Quillen model category is also a Quillen model category?

score 128 · Answer 1 · 2026-04-17 01:00:16

128

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How to prove that the slice category over a Quillen model category is also a Quillen model category?

Published on 17 Apr 2026 - 1:00

score 204 · Answer 2 · 2026-04-12 11:19:10

204

Views

Morphism is a retraction of another morphism?

Published on 12 Apr 2026 - 11:19

score 201 · Answer 3 · 2026-04-11 16:54:50

201

Views

How to show that $\Delta[n]$ isn't Kan fibrant...?

Published on 11 Apr 2026 - 16:54

score 440 · Answer 4 · 2026-04-14 02:06:24

440

Views

How to prove that reduced suspension $\Sigma X=S^1 \wedge X$ of a pointed space $(X,x_0)$ is an H-cogroup

Published on 14 Apr 2026 - 2:06

score 2.8k · Answer 5 · 2026-04-12 08:58:22

2.8k

Views

cauchy theorem over cycles homologous to zero

Published on 12 Apr 2026 - 8:58

score 819 · Answer 6 · 2026-04-13 16:50:20

819

Views

Are maps inducing the same cohomology homomorphisms homotopic?

Published on 13 Apr 2026 - 16:50

score 309 · Answer 7 · 2026-04-11 09:51:36

309

Views

homotopy of circles

Published on 11 Apr 2026 - 9:51

score 737 · Answer 8 · 2026-04-14 01:10:32

737

Views

A Question in May's Concise Algebraic Topology

Published on 14 Apr 2026 - 1:10

score 753 · Answer 9 · 2026-04-12 10:34:52

753

Views

Every path in $S^n$ is path homotopic to a "polygonal" path

Published on 12 Apr 2026 - 10:34

score 135 · Answer 10 · 2026-04-17 00:37:38

135

Views

Fibration factorization leads to new fibrations.

Published on 17 Apr 2026 - 0:37

score 160 · Answer 11 · 2026-04-16 02:23:58

160

Views

Pathspace (PX,{x}) of well-pointed space (X,{x}) is well-pointed

Published on 16 Apr 2026 - 2:23

score 187 · Answer 12 · 2026-04-11 05:14:38

187

Views

A fibrant-objects structure on $\bf Top$

Published on 11 Apr 2026 - 5:14

score 1k · Answer 13 · 2026-04-12 16:42:05

1k

Views

The empty set in homotopy theoretic terms (as a simplicial set/top. space)

Published on 12 Apr 2026 - 16:42

score 188 · Answer 14 · 2026-05-11 09:31:07

188

Views

Suspension Operation on the Pontryagin-Thom Construction

Published on 11 May 2026 - 9:31

score 261 · Answer 15 · 2026-04-09 19:06:05

261

Views

What is an "absolute, equational pushout"?

Published on 09 Apr 2026 - 19:06

List Question

How to prove that the slice category over a Quillen model category is also a Quillen model category?

Morphism is a retraction of another morphism?

How to show that $\Delta[n]$ isn't Kan fibrant...?

How to prove that reduced suspension $\Sigma X=S^1 \wedge X$ of a pointed space $(X,x_0)$ is an H-cogroup

cauchy theorem over cycles homologous to zero

Are maps inducing the same cohomology homomorphisms homotopic?

homotopy of circles

A Question in May's Concise Algebraic Topology

Every path in $S^n$ is path homotopic to a "polygonal" path

Fibration factorization leads to new fibrations.

Pathspace (PX,{x}) of well-pointed space (X,{x}) is well-pointed

A fibrant-objects structure on $\bf Top$

The empty set in homotopy theoretic terms (as a simplicial set/top. space)

Suspension Operation on the Pontryagin-Thom Construction

What is an "absolute, equational pushout"?

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