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Near-rings of homotopy classes of continuous functions

Published online by Cambridge University Press:  17 April 2009

Wolfgang Mutter
Wolfgang Mutter
Affiliation:
Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, D-8520 Erlangen, Germany
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Abstract

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In this paper we show that for a compact connected abelian group G the near-ring [G, G] of all homotopy classes of continuous selfmaps of G is an abstract affine near-ring, and investigate the ideal structure of these near-rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 25 - 33
Copyright
Copyright © Australian Mathematical Society 1994

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