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

Author:

CÁRDENAS MANUEL,LASHERAS FRANCISCO F.,QUINTERO ANTONIO

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. Classification of exterior and proper fibrations;Proceedings of the American Mathematical Society;2020-02-26

2. Brown representability for exterior cohomology and cohomology with compact supports;Journal of the London Mathematical Society;2014-05-30

3. The proper Lusternik–Schnirelmann category of semistable one-ended 3-manifolds;Topology and its Applications;2013-03

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