EQUIVALENCE OF MODELS FOR EQUIVARIANT (∞, 1)-CATEGORIES-Reference-Cited by-同舟云学术

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EQUIVALENCE OF MODELS FOR EQUIVARIANT (∞, 1)-CATEGORIES

Published:2016-06-10 Issue:1 Volume:59 Page:237-253
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

BERGNER JULIA E.

Abstract

AbstractIn this paper, we show that the known models for (∞, 1)-categories can all be extended to equivariant versions for any discrete groupG. We show that in two of the models we can also consider actions of any simplicial groupG.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference26 articles.

1. A. Joyal , The theory of quasi-categories I, in preparation.

2. Systems of fixed point sets

3. M. Stephan , On equivariant homotopy theory for model categories, Homology, Homotopy Appl. preprint available at math.AT/1308.0856.

4. C. L. Reedy , Homotopy theory of model categories, unpublished manuscript, available at http://www-math.mit.edu/~psh.

5. Dendroidal Segal spaces and ∞-operads

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1. Discreteness and completeness for Θn-models of (∞,n)-categories;Tunisian Journal of Mathematics;2024-01-20

2. Genuine versus naïve symmetric monoidal $G$-categories;Documenta Mathematica;2023-11-14

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