A note on sets avoiding rational distances in category bases

نویسندگان

چکیده

Michalski gave a short and elegant proof of theorem A. Kumar which states that for each set A⊆R, there exists B⊆A is full in A such no distance between points B rational number. He also proved similar sets R2. In this paper, we generalize these results some special types category bases.

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2023

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2023.108459