Pith. sign in

REVIEW 1 cited by

Equivariant dendroidal Segal spaces and $G$-$\infty$-operads

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1801.02110 v3 pith:QJE7QR4J submitted 2018-01-07 math.AT

classification math.AT
keywords categoriesequivariantmodeloperadssegalcategorycontextinfty
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

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 $G$-$\infty$-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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Homotopy theory of equivariant operads with fixed colors

    math.AT 2019-08 accept novelty 7.0 of 10

    Fixed-color equivariant simplicial operads admit model structures whose weak equivalences are detected by graph subgroups or by any chosen (G,Sigma)-family of subgroups.

Pith tools