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

In: The New Mathematical Coloring Book

Author

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  • Alexander Soifer

    (University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences)

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.

Suggested Citation

  • Alexander Soifer, 2024. "Chromatic Number of the Plane Meets Map Coloring: Townsend–Woodall’s 5-Color Theorem," Springer Books, in: The New Mathematical Coloring Book, edition 2, chapter 0, pages 253-267, Springer.
    • Handle: RePEc:spr:sprchp:978-1-0716-3597-1_25
    DOI: 10.1007/978-1-0716-3597-1_25
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