fully T4

A topological spaceMathworldPlanetmath X is said to be fully T4 if every open cover of X has star refinement.

A topological space is said to be fully normal if it is a T1 space and is fully T4.

For example, every pseudometric space is fully T4.

We have the following implicationsMathworldPlanetmath:

Lindelöf T3 paracompact and T3 fully T4T4 uniformizable T3 ,


fully normal paracompact regularPlanetmathPlanetmathPlanetmathPlanetmath.

Title fully T4
Canonical name FullyT4
Date of creation 2013-03-22 17:09:43
Last modified on 2013-03-22 17:09:43
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 7
Author Mathprof (13753)
Entry type Definition
Classification msc 54D15
Defines fully normal