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The Ganea conjecture in proper homotopy via exterior homotopy theory
Published online by Cambridge University Press: 24 March 2010
Abstract
In this article we provide sufficient conditions on a space X to verify Ganea conjecture with respect to exterior and proper Lusternik–Schnirelmann category. For this aim we previously develop an exterior version of the Whitehead, cellular approximation, CW-approximation and Blakers–Massey theorems within a homotopy theory of exterior CW-complexes and study their corresponding analogues and consequences in the proper setting.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 149 , Issue 1 , July 2010 , pp. 75 - 91
- Copyright
- Copyright © Cambridge Philosophical Society 2010
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