Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 42658

A model category is a category equipped with notions of weak equivalences, fibrations and cofibrations allowing to run arguments similar to those of classical homotopy theory.

7 votes

Why do we need model categories?

Extensive answers have already been given in this thread. Just a few remarks here and there. I think the question “why we need” assumes something about “we”, and in some extent, about “need”. There …
Edouard's user avatar
  • 660
5 votes

Derivators and fibred $\infty$-categories

I am no Denis-Charles but given the other paper you quoted let me think of a sketch, perhaps you will be able to make the right out of it. Let $\mathcal E \to \mathcal C$ be a Quillen presheaf (model …
Edouard's user avatar
  • 660
1 vote

Deriving the functor $ \int_{\Gamma} F(-,-)$

A long comment. The way you state the question currently mixes the abstract notion of derived functor (has nothing to do with fibrant replacements), and the notion of a co/fibrant replacement. I am …
Edouard's user avatar
  • 660