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On the Ganea strong category in proper homotopy

Published online by Cambridge University Press:  20 January 2009

R. Ayala  and
A. Quintero
R. Ayala
Affiliation:
Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado 1160, 41080-Sevilla, Spain
A. Quintero
Affiliation:
Departamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apartado 1160, 41080-Sevilla, Spain
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Abstract

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This paper contains some basic relations between Ganea strong category and Lusternik Schnirelmann category in proper homotopy theory. We focus our interest on the case of category 2 in order to show that ℚn is the unique open n-manifold with proper Lusternik-Schnirelmann category 2 (n ≠ 3).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 2 , June 1998 , pp. 247 - 263
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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