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2016 Minimal fibrations of dendroidal sets
Ieke Moerdijk, Joost Nuiten
Algebr. Geom. Topol. 16(6): 3581-3614 (2016). DOI: 10.2140/agt.2016.16.3581

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).

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Ieke Moerdijk. Joost Nuiten. "Minimal fibrations of dendroidal sets." Algebr. Geom. Topol. 16 (6) 3581 - 3614, 2016. https://doi.org/10.2140/agt.2016.16.3581

Information

Received: 3 December 2015; Revised: 5 April 2016; Accepted: 29 April 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1383.55012
MathSciNet: MR3584268
Digital Object Identifier: 10.2140/agt.2016.16.3581

Subjects:
Primary: 55P48, 55R65, 55U35
Secondary: 18D50

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 6 • 2016
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