References & Citations
Mathematics > General Topology
Title: Sufficent Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space
(Submitted on 24 Apr 2024)
Abstract: In this article we prove that if $ X $ is a normed space and $ U $ is a polygonally-connected subset of $ X $ with $M:=\{S_i:\ i\in I\}\subset \mathcal{P}\left( U\right) $, a non-empty arbitrary family of discrete, non-empty subsets of $ U, $ then the property of polygonal-connectedness is also preserved in the resulting set $ U\setminus\left( \bigcup_{i\in I} S_i\right),$ under appropriate conditions.
Submission history
From: Savvas Andronicou [view email][v1] Wed, 24 Apr 2024 10:21:32 GMT (579kb,D)
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