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An addition theorem for the color number
Authors:Jan M. Aarts   Robbert J. Fokkink
Affiliation:Faculty of Mathematics, Delft University, P.O. Box 5031, 2600 GA Delft, Netherlands ; Faculty of Mathematics, Delft University, P.O. Box 5031, 2600 GA Delft, Netherlands
Abstract:

There is a close relation between the color number of a continuous map $fcolon X to X$ 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.

Keywords:Color number   dimension   co-index   involution
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