#### Volume 21, issue 7 (2021)

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Combinatorial $N_\infty$ operads

### Jonathan Rubin

Algebraic & Geometric Topology 21 (2021) 3513–3568
##### Abstract

We prove that the homotopy theory of ${N}_{\infty }$ operads is equivalent to a homotopy theory of discrete operads, and we construct free and associative operadic realizations of every indexing system. This resolves a conjecture of Blumberg and Hill in the affirmative.

##### Keywords
operad, $N$ operad, $N_\infty$ operad, equivariant, indexing system
Primary: 55P91