New York Journal of Mathematics
Volume 17 (2011) 513-552


David Barnes and Constanze Roitzheim

Local framings

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Published: August 17, 2011
Keywords: Stable homotopy theory, model categories, Bousfield localisation
Subject: 55P42, 55P60

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.


The first author was supported by EPSRC grant EP/H026681/1
The second author was supported by EPSRC grant EP/G051348/1.

Author information

David Barnes:
The University of Sheffield, School of Mathematics and Statistics, Hicks Building, Sheffield, S3 7RH, UK

Constanze Roitzheim:
University of Glasgow, Department of Mathematics, 15 University Gardens, Glasgow, G12 8QW, UK