Volume 16, issue 6 (2016)

 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
Rigidification of higher categorical structures

Giovanni Caviglia and Geoffroy Horel

Algebraic & Geometric Topology 16 (2016) 3533–3562
Abstract

Given a limit sketch in which the cones have a finite connected base, we show that a model structure of “up to homotopy” models for this limit sketch in a suitable model category can be transferred to a Quillen-equivalent model structure on the category of strict models. As a corollary of our general result, we obtain a rigidification theorem which asserts in particular that any ${\Theta }_{n}$–space in the sense of Rezk is levelwise equivalent to one that satisfies the Segal conditions on the nose. There are similar results for dendroidal spaces and $n$–fold Segal spaces.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt

We have not been able to recognize your IP address 3.237.66.86 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.

Keywords
internal operads, internal n-categories, limit sketches, model categories
Mathematical Subject Classification 2010
Primary: 18C30, 18D35, 55U35
Secondary: 18D05, 18D50