Cofibrantly generated model structures for functor calculus
Model structures for many kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors.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 Rndigs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy.18F50, 18N40, 55U35; 18D15, 18D20
Authors
- Rekha Santhanam (ORCID: https://orcid.org/0000-0002-1197-4965)
- Rhiannon Griffiths
- Lauren Bandklayder
- Julia E. Bergner (ORCID: https://orcid.org/0000-0001-5063-9329)
- Brenda Johnson
Institutions
- Bowdoin College (US)
- Indian Institute of Technology Bombay (IN)
- Union College (US)
- Plasma Technology (United States) (US)
- University of Virginia (US)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2025-10-29
- DOI
- https://doi.org/10.2140/agt.2025.25.3931
- Primary Topic
- Logic, programming, and type systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Hausdorff Research Institute for Mathematics