Volume 16, issue 6 (2016)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Minimal fibrations of dendroidal sets

Ieke Moerdijk and Joost Nuiten

Algebraic & Geometric Topology 16 (2016) 3581–3614
Abstract

We prove the existence of minimal models for fibrations between dendroidal sets in the model structure for –operads, as well as in the covariant model structure for algebras and in the stable one for connective spectra. We also explain how our arguments can be used to extend the results of Cisinski (2014) and give the existence of minimal fibrations in model categories of presheaves over generalized Reedy categories of a rather common type. Besides some applications to the theory of algebras over –operads, we also prove a gluing result for parametrized connective spectra (or Γ–spaces).

Keywords
minimal fibrations, dendroidal sets, Gamma-spaces, Reedy categories
Mathematical Subject Classification 2010
Primary: 55R65, 55U35, 55P48
Secondary: 18D50
References
Publication
Received: 3 December 2015
Revised: 5 April 2016
Accepted: 29 April 2016
Published: 15 December 2016
Authors
Ieke Moerdijk
Mathematical Institute
Utrecht University
PO Box 80010
3508 TA Utrecht
Netherlands
Joost Nuiten
Mathematical Institute
Utrecht University
P.O. Box 80010
3508 TA Utrecht
Netherlands