Simplicial model structures on pro-categories
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Fulltext
Final published version, 795 KB, PDF document
We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing “profinite” analogues of known model categories. Our construction quickly recovers Morel’s model structure for pro-
p spaces and Quick’s model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behavior and its relation to Bousfield localization. We compare our construction to the ∞–categorical approach to ind- and pro-categories in an appendix.
p spaces and Quick’s model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behavior and its relation to Bousfield localization. We compare our construction to the ∞–categorical approach to ind- and pro-categories in an appendix.
Original language | English |
---|---|
Journal | Algebraic & Geometric Topology |
Volume | 23 |
Issue number | 8 |
Pages (from-to) | 3849-3908 |
ISSN | 1472-2747 |
DOIs | |
Publication status | Published - 2023 |
ID: 373794437