On orthogonal and staircase connectedness in the plane

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2025-04-29 DOI:10.1112/mtk.70021

Julia Q. Du, Liping Yuan, Tudor Zamfirescu

引用次数: 0

Abstract

In this paper, we introduce o-extreme points defined by using orthogonal paths in orthogonally connected sets. We investigate their properties and obtain Minkowski-type theorems involving orthogonally connected sets. Using o-extreme points, we give some characterizations of staircase connectedness.

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平面上的正交连通性和阶梯连通性

本文引入了正交连通集上用正交路径定义的0个极值点。研究了它们的性质，得到了涉及正交连通集的闵可夫斯基型定理。利用0个极值点，给出了楼梯连通性的一些表征。

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

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.