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Global analogues of the Brown–Grossman proper homotopy groups of an end

Published online by Cambridge University Press:  24 October 2008

L. J. Hernandez  and
T. Porter
L. J. Hernandez
Affiliation:
Departamento de Matematicas, Facultad de Ciencias, 50009 Zaragosa, Spain
T. Porter
Affiliation:
Department of Pure Mathematics, University College of North Wales, Bangor, Gwynedd, LL57 2UW, Wales
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Abstract

The Brown–Grossman proper homotopy groups at an end of a locally compact Hausdorff space, X, were introduced by E. M. Brown in 1974. In this note we define and study ‘global’ versions of these groups and compare these global groups with the groups ‘at infinity’. We also obtain several interlocking exact sequences relating these groups with the Hurewicz and Steenrod homotopy groups of X.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 483 - 496
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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