An addition theorem for the color number

Jan M. Aarts, Robbert J. Fokkink
2001 Proceedings of the American Mathematical Society  
There is a close relation between the color number of a continuous map f : X → 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.
doi:10.1090/s0002-9939-01-05861-0 fatcat:pz4oolfsurdxbpwxxcooonv6i4