Skip to main content
1 of 3
Fat ninja
  • 403
  • 2
  • 8

Model structure on the category of topological groups

Consider the category $TopGr$ of topological groups. I know that this is a model category ( ? one can understand its model structure by understanding a model structure on the category of enriched categories ? ). I am new to this kind of stuff and I couldn't find any references on this topic, but as far as I understand, a model structure can be defined as follows:

Weak equivalences and fibrations are just weak equivalences and fibrations in $Top$.

Am I correct? If yes (or not), can someone explain (or give any reference) what model structure can be defined in $TopGr$?

Fat ninja
  • 403
  • 2
  • 8