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16.—On Uniqueness of Topological Degree for Set-valued Mappings*

Published online by Cambridge University Press:  14 February 2012

J. R. L. Webb  and
W. N. Everitt
J. R. L. Webb
Affiliation:
Department of Mathematics, University of Glasgow.
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Synopsis

It is shown that three independent axioms uniquely determine the topological degree of set-valued maps of the form I – G, where G is a convex-valued, limit compact map. This extends earlier work of Amann and Weiss, Nussbaum, and others, in that, apart from dealing with set-valued maps, a larger class of maps is considered even in the single-valued case.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 74 , 1976 , pp. 225 - 229
Copyright
Copyright © Royal Society of Edinburgh 1976

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