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Results tagged with model-categories
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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.
22
votes
Homotopy pullbacks and homotopy pushouts
Here's a simple geometric example for a homotopy pushout. This is stolen from the Dwyer-Spalinski paper on model categories.
We first look at the following diagram: pt <-- S^1 --> pt. The pushout of …
- 3,917
65
votes
How to think about model categories?
Here's a bit of the historical reason why model categories came up. If you have a functor on an abelian category which doesn't quite behave as you would like it to, e.g. is not left exact, there is a …
- 3,917