Closed Euclidean point

This article defines a property that one can talk about for a pair of a topological space and a point in it

Definition

A point in a topological space is termed a closed $m$-Euclidean point if it is closed as a subset of the topological space, and is also a $m$-Euclidean point.

Relation with other properties

Stronger properties

• Hausdorff-Euclidean point

Weaker properties

• Homologically Euclidean point