Proceedings of the American Mathematical Society

Author(s): Jan M. Aarts; Robbert J. Fokkink
Journal: Proc. Amer. Math. Soc. 129 (2001), 2803-2807.
MSC (2000): Primary 54F45, 55M10
Posted: February 9, 2001
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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

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.

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Jan M. Aarts
Affiliation: Faculty of Mathematics, Delft University, P.O. Box 5031, 2600 GA Delft, Netherlands
Email: j.m.aarts@its.tudelft.nl

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