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Detecting cohomology classes for the proper LS category. The case of semistable 3-manifolds†

Published online by Cambridge University Press:  21 December 2011

MANUEL CÁRDENAS ,
FRANCISCO F. LASHERAS  and
ANTONIO QUINTERO
MANUEL CÁRDENAS
Affiliation:
Departamento de Geometría y Topología. Universidad de Sevilla, Apdo 1160, 41080-Sevilla, Spain. e-mail: mcard@us.es, lasheras@us.es, quintero@us.es
FRANCISCO F. LASHERAS
Affiliation:
Departamento de Geometría y Topología. Universidad de Sevilla, Apdo 1160, 41080-Sevilla, Spain. e-mail: mcard@us.es, lasheras@us.es, quintero@us.es
ANTONIO QUINTERO
Affiliation:
Departamento de Geometría y Topología. Universidad de Sevilla, Apdo 1160, 41080-Sevilla, Spain. e-mail: mcard@us.es, lasheras@us.es, quintero@us.es
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Abstract

We give sufficient conditions for the existence of detecting elements for the Lusternik–Schnirelmann category in proper homotopy. As an application we determine the proper LS category of some semistable one-ended open 3-manifolds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 2 , March 2012 , pp. 223 - 249
Copyright
Copyright © Cambridge Philosophical Society 2011

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