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Proper pointed maps from ℝn+1 to a σ-compact space

Published online by Cambridge University Press:  24 October 2008

Luis J. Hernandez  and
Timothy Porter
Luis J. Hernandez
Affiliation:
Department of Geometry and Topology, Facultad de Ciencias, 50009 Zaragosa, Spain
Timothy Porter
Affiliation:
Department of Pure Mathematics, University College of North Wales, Bangor, Wales
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Abstract

In this paper we study the group of pointed proper homotopy classes of proper pointed maps from (ℝn+1, 0) to a pointed σ-compact space (X, x) and prove the existence of a diagram of exact sequences linking the groups with the Brown—Grossman groups , the Steenrod groups πn(X) and the classical Hurewicz homotopy groups πn(X).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 3 , May 1988 , pp. 457 - 462
Copyright
Copyright © Cambridge Philosophical Society 1988

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