Geodesic
Equivariant dendroidal Segal spaces and G–∞–operads
Bonventre, Peter1 ; Pereira, Luís A2
1Department of Mathematics, University of Kentucky, Lexington, KY, United States
2Department of Mathematics, Duke University, Durham, NC, United States
Algebraic and Geometric Topology, Tome 20 (2020) no. 6, pp. 2687-2778
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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 G–∞–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.

Classification : 55U10, 55U35, 55U40, 18G30
Keywords: operads, dendroidal sets, preoperads, equivariant homotopy theory, Reedy categories

Bonventre, Peter  1   ; Pereira, Luís A  2

1 Department of Mathematics, University of Kentucky, Lexington, KY, United States
2 Department of Mathematics, Duke University, Durham, NC, United States 
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Bonventre, Peter; Pereira, Luís A. Equivariant dendroidal Segal spaces and G–∞–operads. Algebraic and Geometric Topology, Tome 20 (2020) no. 6, pp. 2687-2778. http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a0/

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