Work

Cofibrantly generated model structures for functor calculus

Year: 2025

Type: article

Abstract: 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 Röndigs, but also include a model structure for the discrete functor calculus of Bauer, Johnson, and McCarthy.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2025.25.3931

Authors: Lauren Bandklayder, Julia E Bergner, Rhiannon Griffiths, Brenda Johnson, Rekha Santhanam

Institutions: Massachusetts Institute of Technology, University of Virginia, Bowdoin College, Union College, Indian Institute of Technology Bombay

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Hausdorff Research Institute for Mathematics

Awards: Homotopical Algebraic Structures in Algebraic K-theory and Functor Calculus, Career Advancement for Women Through Research-Focused Networks, CAREER: Equivariant topological field theories and higher cluster categories, Women in Topology Workshop