论文标题
关于避免类别基础有理距离的集合的注释
A note on sets avoiding rational distances in category bases
论文作者
论文摘要
Michalski提供了A. Kumar定理的简短而优雅的证据，该定理指出，对于R中的每组A组，都存在A的子集B，该子集在A中已满，并且B中的B之间没有距离是一个理性的数字。他还证明了在欧几里得平面中的套装的定理。在本文中，我们将这些结果推广到某些特殊类型的类别基础中。
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.
