#### Volume 16, issue 6 (2016)

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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 $\infty$–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 $\infty$–operads, we also prove a gluing result for parametrized connective spectra (or $\Gamma$–spaces).

##### Keywords
minimal fibrations, dendroidal sets, Gamma-spaces, Reedy categories
##### Mathematical Subject Classification 2010
Primary: 55R65, 55U35, 55P48
Secondary: 18D50