The Ganea conjecture in proper homotopy via exterior homotopy theory

Author:

GARCÍA–CALCINES JOSE M.,GARCÍA–DÍAZ PEDRO R.,MURILLO MAS ANICETO

Abstract

AbstractIn this article we provide sufficient conditions on a spaceXto 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.

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. Regions of attraction, limits and end points of an exterior discrete semi-flow;Homology, Homotopy and Applications;2019

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

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