An addition theorem for the color number

There is a close relation between the color number of a continuous map f\colon X \to X without fixed points and the topological dimension. If~f is an involution, the color number is also related to the co-index. An addition theorem for the color number is established thus underscoring the interrelat...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2001-09, Vol.129 (9), p.2803-2807
Main Authors: Aarts, Jan M., Fokkink, Robbert J.
Format: Article
Language:English
Subjects:
Addition theorem
Borel sets
Cardinality
Fixed point property
Homeomorphism
Mathematical theorems
Numbers
Topological spaces
Topological theorems
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Summary:There is a close relation between the color number of a continuous map f\colon X \to X without fixed points and the topological dimension. If~f is an involution, the color number is also related to the co-index. An addition theorem for the color number is established thus underscoring the interrelations between color number, dimension and co-index.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-01-05861-0