An addition theorem for the color number
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- by Jan M. Aarts and Robbert J. Fokkink PDF
- Proc. Amer. Math. Soc. 129 (2001), 2803-2807 Request permission
Abstract:
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.References
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Additional Information
- Jan M. Aarts
- Affiliation: Faculty of Mathematics, Delft University, P.O. Box 5031, 2600 GA Delft, Netherlands
- Email: j.m.aarts@its.tudelft.nl
- Robbert J. Fokkink
- Affiliation: Faculty of Mathematics, Delft University, P.O. Box 5031, 2600 GA Delft, Netherlands
- Email: r.j.fokkink@its.tudelft.nl
- Received by editor(s): November 9, 1999
- Received by editor(s) in revised form: January 15, 2000
- Published electronically: February 9, 2001
- Communicated by: Alan Dow
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2803-2807
- MSC (2000): Primary 54F45, 55M10
- DOI: https://doi.org/10.1090/S0002-9939-01-05861-0
- MathSciNet review: 1838806