Abstract
We prove that the category G-Cat of small categories with G-action forms a model of unstable G-global homotopy theory for every discrete group G, generalizing Schwede’s global model structure on Cat. As a consequence, we prove that G-Cat models proper G-equivariant homotopy theory not only when we test weak equivalences on fixed points, but also when we test them on categorical homotopy fixed points.
| Original language | English |
|---|---|
| Pages (from-to) | 439-481 |
| Number of pages | 43 |
| Journal | Cahiers de topologie et géométrie différentielle catégoriques |
| Volume | 64 |
| Issue number | 4 |
| Publication status | Published - 2023 |
Keywords
- Equivariant homotopy theory
- nerve functor
- model categories
- Thomason model structure