Cofibrantly generated model structures for functor calculus
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912686965522432 |
|---|---|
| author | Bandklayder, Lauren Bergner, Julia E. Griffiths, Rhiannon Johnson, Brenda Santhanam, Rekha |
| author_facet | Bandklayder, Lauren Bergner, Julia E. Griffiths, Rhiannon Johnson, Brenda Santhanam, Rekha |
| contents | Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a general criterion for when model categories obtained via this approach are cofibrantly generated. Our examples recover the homotopy functor and $n$-excisive model structures of Biedermann and Röndigs, with different proofs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12954 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cofibrantly generated model structures for functor calculus Bandklayder, Lauren Bergner, Julia E. Griffiths, Rhiannon Johnson, Brenda Santhanam, Rekha Algebraic Topology Category Theory 18D20, 18D15, 18F50, 18N40, 55U35 Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a general criterion for when model categories obtained via this approach are cofibrantly generated. Our examples recover the homotopy functor and $n$-excisive model structures of Biedermann and Röndigs, with different proofs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy. |
| title | Cofibrantly generated model structures for functor calculus |
| topic | Algebraic Topology Category Theory 18D20, 18D15, 18F50, 18N40, 55U35 |
| url | https://arxiv.org/abs/2304.12954 |