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Coloring the distance graphs

Published 2 Jan 2022 in math.LO | (2201.00275v1)

Abstract: Let n>0 be a number. Let Gn be the graph on n-dimensional Euclidean space connecting points of rational distance. It is consistent with the choiceless theory ZF+DC that Gn has countable chromatic number yet Gn+1 does not.

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Authors (1)

  1. Jindrich Zapletal 

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