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Cofibrantly generated
model structures for functor calculus
Lauren Bandklayder, Julia E Bergner, Rhiannon Griffiths, Brenda Johnson and Rekha Santhanam |
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Algebraic & Geometric Topology 25 (2025) 3931–3973
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Abstract |
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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 -excisive model structures of Biedermann and Röndigs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy. |
Keywords
cofibrantly generated model categories, enriched
categories, functor categories, functor calculus
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Mathematical Subject Classification
Primary: 18F50, 18N40, 55U35
Secondary: 18D15, 18D20
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References |
Publication
Received: 28 April 2023
Revised: 22 August 2024
Accepted: 14 September 2024
Published: 29 October 2025
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Authors |
| Lauren Bandklayder | |
| MIT Plasma Science and Fusion
Center Boston, MA United States |
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| Julia E Bergner | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
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| Rhiannon Griffiths | |
| Department of Mathematics Bowdoin College Brunswick, ME United States |
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| Brenda Johnson | |
| Department of Mathematics Union College Schenectady, NY United States |
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| Rekha Santhanam | |
| Department of Mathematics Indian Institute of Technology Bombay Mumbai India |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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