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Results tagged with model-categories
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user 2273
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.
3
votes
3
answers
261
views
Ref request: making a homotopy equivalence fibrewise, in an abstract setting (eg fibration c...
The following useful lemma holds in a variety of settings:
Lemma. Let $p : Y_1 \to X$, $p_2 : Y_2 \to X$ be fibrations over a common base, and $f : Y_1 \to Y_2$ a map over $X$ that is a homotopy equ …
- 21.3k
46
votes
8
answers
11k
views
Non-examples of model structures, that fail for subtle/surprising reasons?
An often-cited principle of good mathematical exposition is that a definition should always come with a few examples and a few non-examples to help the learner get an intuition for where the concept's …
- 21.3k