Moerdijk, I. and Nuiten, J. (2016) Minimal fibrations of dendroidal sets. Algebraic & Geometric Topology, 16 (6). pp. 3581-3614. ISSN 1472-2747
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).
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2016 Mathematical Sciences Publishers. This is an author produced version of a paper subsequently published in Algebraic and Geometric Topology. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | minimal fibrations; dendroidal sets; Gamma-spaces; Reedy categories |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 21 Nov 2017 15:36 |
Last Modified: | 21 Nov 2017 15:42 |
Published Version: | https://doi.org/10.2140/agt.2016.16.3581 |
Status: | Published |
Publisher: | Mathematical Sciences Publishers |
Refereed: | Yes |
Identification Number: | 10.2140/agt.2016.16.3581 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:124302 |