Avoiding Small Monochromatic Distances

  • Tom Waknine Technion - IIT, Haifa
Keywords: Euclidean space; Bernstein sets


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

How to Cite
Waknine, T. (2022). Avoiding Small Monochromatic Distances. The PUMP Journal of Undergraduate Research, 5, 148-151. Retrieved from https://journals.calstate.edu/pump/article/view/2728