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Comparing homotopy categories

Published online by Cambridge University Press:  30 November 2007

David Blanc
David Blanc
Affiliation:
blanc@math.haifa.ac.ilDepartment of Mathematics, University of Haifa, 31905 Haifa, Israel
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Abstract

Given a suitable functor T : → between model categories, we define a long exact sequence relating the homotopy groups of any X ε with those of TX, and use this to describe an obstruction theory for lifting an object G ε to . Examples include finding spaces with given homology or homotopy groups.

Keywords

model categoryhomotopical algebraobstruction theoryrealization

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Type
Research Article
Information
Journal of K-Theory , Volume 2 , Issue 1 , August 2008 , pp. 169 - 205
Copyright
Copyright © ISOPP 2008

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