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A generalization of Ohkawa’s theorem

Part of: Homology and cohomology theories Homotopy theory

Published online by Cambridge University Press:  03 April 2014

Carles Casacuberta ,
Javier J. Gutiérrez  and
Jiří Rosický
Carles Casacuberta
Affiliation:
Institut de Matemàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain email carles.casacuberta@ub.edu
Javier J. Gutiérrez
Affiliation:
Department of Algebra and Topology, Radboud Universiteit Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands email j.gutierrez@math.ru.nl
Jiří Rosický
Affiliation:
Department of Mathematics and Statistics, Masaryk University, Faculty of Science, Kotlářská 2, 61137 Brno, Czech Republic email rosicky@math.muni.cz
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Abstract

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A theorem due to Ohkawa states that the collection of Bousfield equivalence classes of spectra is a set. We extend this result to arbitrary combinatorial model categories.

Keywords

homotopymodel categoryacyclicityBousfield class

MSC classification

Secondary: 55N20: Generalized (extraordinary) homology and cohomology theories 55P42: Stable homotopy theory, spectra
Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 5 , May 2014 , pp. 893 - 902
Copyright
© The Author(s) 2014 

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