#### Volume 21, issue 1 (2021)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
$2$–Segal spaces as invertible infinity-operads

### Tashi Walde

Algebraic & Geometric Topology 21 (2021) 211–246
##### Abstract

We exhibit the simplex category $\Delta$ and Segal’s category $\Gamma$ as $\infty$–categorical localizations of the dendroidal categories ${\Omega }_{\pi }$ and $\Omega$ introduced by Moerdijk and Weiss. As an application we obtain an equivalence of $\infty$–categories between invertible $\infty$–operads and the $2$–Segal spaces of Dyckerhoff and Kapranov. Finally, we describe a cyclic version of the dendroidal category and explain how it $\infty$–localizes to Connes’ cyclic category $\Lambda$.

We have not been able to recognize your IP address 3.238.250.73 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

simplicial objects, $2$–Segal spaces, infinity-operads, dendroidal objects