Vol. 202, No. 2, 2002

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Coloring maps of period three

J.M. Aarts, R.J. Fokkink and J. Vermeer

Vol. 202 (2002), No. 2, 257–266
Abstract

We investigate the color number and genus for fixed-point free maps of order three. A result that has the flavor of the Ljusternik-Schnirelmann theorem for involutions is established. The Y -sphere, the combinatorial boundary of the product of tripods, is studied in detail. Problems of coloring non-invariant subspaces are touched upon.

Milestones
Received: 16 May 2000
Revised: 29 August 2000
Published: 1 February 2002
Authors
J.M. Aarts
Technical University Delft
Faculty I.T.S.
P.O. Box 5031
2600 GA Delft
The Netherlands
R.J. Fokkink
Technical University Delft
Faculty I.T.S.
P.O. Box 5031
2600 GA Delft
The Netherlands
J. Vermeer
Technical University Delft
Faculty I.T.S.
P.O. Box 5031
2600 GA Delft
The Netherlands