# Towers and fibered products of model categories

Roitzheim, Constanze, Gutierrez, Javier (2016) Towers and fibered products of model categories. Mediterranean Journal of Mathematics, 13 (6). pp. 3863-3886. ISSN 1660-5446. E-ISSN 1660-5454. (doi:10.1007/s00009-016-0719-3)

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http://dx.doi.org/10.1007/s00009-016-0719-3

## 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 of model categories. As applications we consider Postnikov towers of model categories, chromatic towers of spectra and Bousfield arithmetic squares of spectra. For spectral model categories, we show that the homotopy fiber of a stable left Bousfield localization is a stable right Bousfield localization.

Item Type: Article 10.1007/s00009-016-0719-3 Localization; model category; Postnikov tower; homotopy fibered product. Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Constanze Roitzheim 08 Oct 2015 11:25 UTC 12 Feb 2020 04:07 UTC https://kar.kent.ac.uk/id/eprint/49522 (The current URI for this page, for reference purposes) https://orcid.org/0000-0003-3065-0672