Bousfield localisations along Quillen bifunctors

Gutierrez, Javier, Roitzheim, Constanze (2017) Bousfield localisations along Quillen bifunctors. Applied Categorical Structures, 25 (6). pp. 1113-1136. ISSN 1572-9095. (doi:10.1007/s10485-017-9485-z)

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http://dx.doi.org/10.1007/s10485-017-9485-z

Abstract

Consider a Quillen adjunction of two variables between combinatorial model categories from C x D to E, and a set S of morphisms in C. We prove that there is a localised model structure L_S E on E, where the local objects are the S-local objects in E described via the right adjoint. These localised model structures generalise Bousfield localisations of simplicial model categories, Barnes and Roitzheim's familiar model structures, and Barwick's enriched Bousfield localisations. In particular, we can use these model structures to define Postnikov sections in more general left proper combinatorial model categories.

Item Type: Article 10.1007/s10485-017-9485-z Localisation; model category; Postnikov tower 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 29 May 2019 14:50 UTC https://kar.kent.ac.uk/id/eprint/49523 (The current URI for this page, for reference purposes)