Local framings

Barnes, D. and Roitzheim, C. (2011) Local framings. New York Journal of Mathematics, 17, pp. 513-552.

Abstract

Framings provide a way to construct Quillen functors from simplicial sets to any given model category. A more structured set-up studies stable frames giving Quillen functors from spectra to stable model categories. We will investigate how this is compatible with Bousfield localisation to gain insight into the deeper structure of the stable homotopy category. We further show how these techniques relate to rigidity questions and how they can be used to study algebraic model categories.

• Item Type: Articles
• Keywords: Stable homotopy theory, model categories
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Roitzheim, Dr Constanze
• Authors: Barnes, D., and Roitzheim, C.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: New York Journal of Mathematics
• ISSN: 1076-9803
• Copyright Holders: Copyright © 2011 The Authors
• First Published: First published in New York Journal of Mathematics
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
50266	1	Finiteness Structures in Chromatic Derived Categories	Constanze Roitzheim	Engineering & Physical Sciences Research Council (EPSRC)	EP/G051348/1	Mathematics