Chromatic Number of the Plane Meets Map Coloring: Townsend–Woodall’s 5-Color Theorem

Alexander Soifer
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Alexander Soifer: University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences

Chapter Chapter 25 in The New Mathematical Coloring Book, 2024, pp 253-267 from Springer

Abstract: Abstract In Chapter 8 , I described Douglas R. Woodall’s 1973 attempt to obtain a result on chromatic number of the plane under an additional condition that monochromatic sets are closed or simultaneously divisible into regions [Woo1]. Six years after his publication, Stephen P. Townsend found a logical mistake in Woodall’s proof, constructed a counterexample showing that Woodall’s proof cannot work and went on to discover his own proof of the following major result.

Date: 2024
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DOI: 10.1007/978-1-0716-3597-1_25

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