A note on sets avoiding rational distances in category bases
Functional Analysis
2022-08-16 v1
Abstract
Michalski gave a short and elegant proof of a theorem of A. Kumar which states that for each set A in R, there exists a subset B of A which is full in A and such that no distance between points in B is a rational number. He also proved a similar theorem for sets in the Euclidean plane. In this paper, we generalize these results in some special types of category bases.
Keywords
Cite
@article{arxiv.2208.07040,
title = {A note on sets avoiding rational distances in category bases},
author = {Sanjib Basu and Abhit Chandra Pramanik},
journal= {arXiv preprint arXiv:2208.07040},
year = {2022}
}