Towers and fibered products of model structures
Abstract
Given a left Quillen presheaf of localized model structures, we study the homotopy limit model structure on the associated category of sections. We focus specifically on towers and fibered products (pullbacks) of model categories. As applications we consider Postnikov towers of model categories, chromatic towers of spectra and Bousfield arithmetic squares of spectra. For stable model categories, we show that the homotopy fiber of a stable left Bousfield localization is a stable right Bousfield localization.
Keywords
Cite
@article{arxiv.1602.06808,
title = {Towers and fibered products of model structures},
author = {Javier J. Gutiérrez and Constanze Roitzheim},
journal= {arXiv preprint arXiv:1602.06808},
year = {2017}
}
Comments
20 pages. The paper "Bousfield localisations along Quillen bifunctors and applications" (arXiv:1411.0500v1) has been divided into two parts: "Towers and fibered products of model structures", which is this arXiv submission, and "Bousfield localisations along Quillen bifunctors" (arXiv:1411.0500v2)