A note on sets avoiding rational distances in category bases

被引：0
|
作者：
Basu, Sanjib [1 ]
Pramanik, Abhit Chandra [2 ]
机构：
[1] Bethune Coll, Dept Math, 181 Bidhan Sarani, Kolkata, India
[2] Univ Calcutta, Dept Pure Math, 35,Ballygunge Circular Rd, Kolkata 700019, India
来源：
TOPOLOGY AND ITS APPLICATIONS | 2023年 / 328卷
关键词：
Perfect base; Perfect translation base; Marczewski meager(abundant) set; Marczewski Baire set; Separable base; Vitali-Bernstein selector; ARD set; Full subset;
D O I：
10.1016/j.topol.2023.108459
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Michalski gave a short and elegant proof of a theorem of A. Kumar which states that for each set A subset of R, there exists a set B subset 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 R2. In this paper, we generalize these results in some special types of category bases.(c) 2023 Published by Elsevier B.V.
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页数：6
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