Radial space

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

Definition

Symbol-free definition

A topological space is termed radial if given any subset of the space, and any point in the closure of the subset, there exists a (possibly transfinite) sequence of points in the subset which converges to the given point in the closure.

Relation with other properties

Stronger properties

• First-countable space

Weaker properties

• Sequential space
• Pseudoradial space