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arXiv · 2304.12954

Cofibrantly generated model structures for functor calculus

Lauren Bandklayder·Julia E. Bergner·Rhiannon Griffiths·Brenda Johnson·Rekha Santhanam
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Abstract

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 R\"ondigs, with different proofs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy.

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Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths, Brenda Johnson, Rekha Santhanam. 2023-04-25. Cofibrantly generated model structures for functor calculus. https://doi.org/10.2140/agt.2025.25.3931

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