Refinably normal space

From Topospaces
Jump to: navigation, search
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

This term is nonstandard and is being used locally within the wiki. For its use outside the wiki, please define the term when using it.


Symbol-free definition

A topological space is termed refinably normal if it is normal and every finer topology on the space also yields a normal space. Equivalently, it is normal, and every dense subset is open.

Most normal spaces we encounter in practice are not refinably normal.