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Homotopy Theory of Enriched Mackey Functors from Part 4 - Homotopy Theory Of Enriched Diagrams And Mackey Functors
Published online by Cambridge University Press: 16 January 2025
This chapter establishes the general theory for a pair of nonsymmetric multifunctors (E,F) to provide inverse equivalences of homotopy theories between enriched diagram categories. The main result is Theorem 11.4.14 and does not require E or F to satisfy the symmetry condition of a multifunctor. A similar result for enriched Mackey functor categories, in Theorem 11.4.24, requires that E, but not necessarily F, is a multifunctor. This is important for the applications, Theorems 12.1.6 and 12.4.6. There, E is an endomorphism multifunctor and F is a corresponding free nonsymmetric multifunctor.
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