User Philippe Gaucher

15 votes

2 answers

361 views

Example of non accessible model categories

asked Mar 26, 2019 at 14:41

13 votes

2 answers

798 views

Examples of non Quillen-equivalent model categories having equivalent homotopy categories

asked Jul 4, 2013 at 7:27

10 votes

0 answers

1k views

Two model categories I would like to know if they are Quillen equivalent or not

asked Jul 4, 2013 at 11:42

9 votes

2 answers

2k views

A (very naive) question about Homotopy Type Theory

asked Aug 6, 2013 at 14:39

9 votes

1 answer

752 views

Algebraic structure on homotopy groups of spheres

asked Jul 27, 2016 at 12:22

8 votes

1 answer

377 views

About the category of all small diagrams

asked Apr 7, 2017 at 13:19

8 votes

1 answer

293 views

The binary product of two presentable objects

asked Jul 16, 2018 at 8:42

8 votes

0 answers

369 views

Model category of cofibrant topological spaces

asked Mar 7, 2016 at 12:44

8 votes

0 answers

222 views

Cubical model category

asked Jun 29, 2016 at 17:35

8 votes

1 answer

281 views

Compact-open topology and Delta-generated spaces

asked Jan 8, 2021 at 12:44

7 votes

2 answers

665 views

Cofibrant replacements of a given object in a combinatorial model category

asked Apr 29, 2013 at 9:00

6 votes

0 answers

232 views

About a zig-zag of Quillen adjunctions

asked Sep 11, 2018 at 13:27

6 votes

1 answer

257 views

About a canonical model structure on topologically enriched categories

asked Sep 20, 2018 at 12:38

6 votes

1 answer

444 views

Homotopy type of a specific discrete monoid

asked Oct 1, 2018 at 6:50

6 votes

2 answers

296 views

Construction of combinatorial model categories with all objects fibrant

asked Nov 20, 2017 at 10:46

6 votes

3 answers

525 views

Transporting a model category structure along a left adjoint

asked May 16, 2018 at 8:22

6 votes

1 answer

298 views

About the dual of the cube lemma in homotopy theory

asked Sep 29, 2020 at 20:27

6 votes

0 answers

153 views

Extending a functor up to homotopy

asked Jun 4, 2018 at 9:11

5 votes

1 answer

176 views

Fibrant replacement of an injective model category of enriched diagrams

asked May 2, 2022 at 16:04

5 votes

1 answer

156 views

Category of elements and Quillen adjunction

asked Jul 19 at 11:56

5 votes

1 answer

253 views

Does any accessible model category come from an algebraic model category?

asked Nov 28, 2019 at 17:34

5 votes

1 answer

210 views

Model category of diagrams with the colimit detecting the weak equivalences

asked Jul 20, 2018 at 7:37

5 votes

1 answer

107 views

About small $\omega$-orthogonality classes and Gabriel-Ulmer duality

asked Jul 24, 2017 at 16:40

5 votes

1 answer

205 views

Presentable small diagrams over a locally presentable category

asked Jun 9, 2017 at 9:01

5 votes

1 answer

87 views

Characterization of right properness using slice categories

asked Sep 8, 2015 at 8:20

5 votes

2 answers

290 views

How to simplify the proof of right-properness?

asked Feb 4, 2016 at 11:03

4 votes

0 answers

114 views

About Quillen equivalences between Bousfield localizations

asked Jun 15, 2015 at 10:06

4 votes

1 answer

326 views

About the Cole-Ström model category structure with a locally presentable category

asked Mar 7, 2013 at 12:44

4 votes

3 answers

410 views

About the Yoneda objects of a locally presentable category

asked Jun 29, 2017 at 15:32

4 votes

1 answer

206 views

About small-orthogonality classes of a locally presentable category

asked Jul 14, 2017 at 15:55

Stack Exchange Network

68 Questions

Example of non accessible model categories

Examples of non Quillen-equivalent model categories having equivalent homotopy categories

Two model categories I would like to know if they are Quillen equivalent or not

A (very naive) question about Homotopy Type Theory

Algebraic structure on homotopy groups of spheres

About the category of all small diagrams

The binary product of two presentable objects

Model category of cofibrant topological spaces

Cubical model category

Compact-open topology and Delta-generated spaces

Cofibrant replacements of a given object in a combinatorial model category

About a zig-zag of Quillen adjunctions

About a canonical model structure on topologically enriched categories

Homotopy type of a specific discrete monoid

Construction of combinatorial model categories with all objects fibrant

Transporting a model category structure along a left adjoint

About the dual of the cube lemma in homotopy theory

Extending a functor up to homotopy

Fibrant replacement of an injective model category of enriched diagrams

Category of elements and Quillen adjunction

Does any accessible model category come from an algebraic model category?

Model category of diagrams with the colimit detecting the weak equivalences

About small $\omega$-orthogonality classes and Gabriel-Ulmer duality

Presentable small diagrams over a locally presentable category

Characterization of right properness using slice categories

How to simplify the proof of right-properness?

About Quillen equivalences between Bousfield localizations

About the Cole-Ström model category structure with a locally presentable category

About the Yoneda objects of a locally presentable category

About small-orthogonality classes of a locally presentable category