On sets intersecting every square of the plane

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2023-01-01 DOI:10.4064/cm9159-8-2023

Michael Hrušák, Cristina Villanueva-Segovia

引用次数: 0

Abstract

We analyse properties of sets that contain at least one vertex of each square of the plane, in particular we study minimal elements (with respect to the subset relation) of the family $\mathcal A$ of sets with this property. We prove that minimal elements

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在与平面的每个正方形相交的集合上

我们分析了包含平面每个正方形至少一个顶点的集合的性质，特别是我们研究了具有此性质的集合的族$\mathcal A$的最小元素(相对于子集关系)。我们证明了最小元素

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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