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David Barnes and Constanze Roitzheim
Local framings view print
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Published: |
August 17, 2011 |
Keywords: |
Stable homotopy theory, model categories, Bousfield localisation |
Subject: |
55P42, 55P60 |
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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.
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Acknowledgements
The first author was supported by EPSRC grant EP/H026681/1
The second author was supported by EPSRC grant EP/G051348/1.
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Author information
David Barnes:
The University of Sheffield, School of Mathematics and Statistics, Hicks Building, Sheffield, S3 7RH, UK
D.J.Barnes@sheffield.ac.uk
Constanze Roitzheim:
University of Glasgow, Department of Mathematics, 15 University Gardens, Glasgow, G12 8QW, UK
constanze.roitzheim@glasgow.ac.uk
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