Geodesic
Parametrized higher category theory
Shah, Jay1
1 Department of Mathematics and Computer Science, University of Münster, Münster, Germany
Algebraic and Geometric Topology, Tome 23 (2023) no. 2, pp. 509-644

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We develop foundations for the theory of ∞–categories parametrized by a base ∞–category. Our main contribution is a theory of indexed homotopy limits and colimits, which specializes to a theory of G–colimits for G a finite group when the base is chosen to be the orbit category of G. We apply this theory to show that the G–∞–category of G–spaces is freely generated under G–colimits by the contractible G–space, thereby affirming a conjecture of Mike Hill.

DOI : 10.2140/agt.2023.23.509
Classification : 55U35, 55U40, 55U10
Keywords: parametrized higher category theory, equivariant homotopy theory

Shah, Jay 1

1 Department of Mathematics and Computer Science, University of Münster, Münster, Germany 
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Shah, Jay. Parametrized higher category theory. Algebraic and Geometric Topology, Tome 23 (2023) no. 2, pp. 509-644. doi: 10.2140/agt.2023.23.509

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