Avoiding Small Monochromatic Distances

  • Tom Waknine Technion - IIT, Haifa
DOI: https://doi.org/10.46787/pump.v5i0.2728
Keywords: Euclidean space; Bernstein sets

Abstract

Is it true that for any coloring of the points of R in two colors there is an ε >0 such that one of the color classes contains pairs of points at every distance smaller than ε ? We show that the answer to this question is no.

Author Biography

Tom Waknine, Technion - IIT, Haifa

Undergraduate student in the Mathematics Department

Published
2022-06-08
How to Cite
Waknine, T. (2022). Avoiding Small Monochromatic Distances. The PUMP Journal of Undergraduate Research, 5, 148-151. https://doi.org/10.46787/pump.v5i0.2728
Issue
Vol. 5 (2022): PUMP Journal of Undergraduate Research
Section
Articles

Copyright (c) 2022 Tom Waknine

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