Minimal fibrations of dendroidal sets
Abstract
We prove the existence of minimal models for fibrations between dendroidal sets in the model structure for infinityoperads, as well as in the covariant model structure for algebras and in the stable one for connective spectra. In an appendix, we explain how our arguments can be used to extend the results of Cisinski, giving the existence of minimal fibrations in model categories of presheaves over generalised Reedy categories of a rather common type. Besides some applications to the theory of algebras over infinityoperads, we also prove a gluing result for parametrized connective spectra (or Gammaspaces).
 Publication:

arXiv eprints
 Pub Date:
 September 2015
 arXiv:
 arXiv:1509.01073
 Bibcode:
 2015arXiv150901073M
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Category Theory
 EPrint:
 Algebr. Geom. Topol. 16 (2016) 35813614