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Equivariant dendroidal
Segal spaces and $G$–$\infty$–operads
Peter Bonventre and Luís A Pereira |
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Algebraic & Geometric Topology 20 (2020) 2687–2778
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DOI: 10.2140/agt.2020.20.2687
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Abstract |
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We introduce the analogues of the notions of complete Segal space and of Segal category in the context of equivariant operads with norm maps, and build model categories with these as the fibrant objects. We then show that these model categories are Quillen equivalent to each other and to the model category for ––operads built in a previous paper. Moreover, we establish variants of these results for the Blumberg–Hill indexing systems. In an appendix, we discuss Reedy categories in the equivariant context. |
Keywords
operads, dendroidal sets, preoperads, equivariant homotopy
theory, Reedy categories
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Mathematical Subject Classification 2010
Primary: 55U10, 55U35, 55U40
Secondary: 18G30
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References |
Publication
Received: 21 January 2018
Revised: 14 October 2019
Accepted: 26 October 2019
Published: 8 December 2020
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Authors |
| Peter Bonventre | |
| Department of Mathematics University of Kentucky Lexington, KY United States |
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| Luís A Pereira | |
| Department of Mathematics Duke University Durham, NC United States |
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