Refinably normal space

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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

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Definition

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.