Emmanouil Milakis

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math.GN2024

Sufficent Conditions for the preservation of Path-Connectedness in an arbitrary metric space

Savvas Andronicou, Emmanouil Milakis

It is proven that if $(X, d)$ is an arbitrary metric space and $U$ is a path-connected subset of $X$ with $M := {x_{i} : i \in {1, 2, \dots, k}} \subset in t (U)$ , then the property…

math.GN2024

Sufficent Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space

Savvas Andronicou, Emmanouil Milakis

In this article we prove that if $X$ is a normed space and $U$ is a polygonally-connected subset of $X$ with $M := {S_{i} : i \in I} \subset P (U)$ , a non-e…