Locally 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
This is a variation of normality. View other variations of normality


A topological space is termed locally normal if every point in it has an open neighbourhood which is normal.

Relation with other properties

Stronger properties

Weaker properties


There exist locally normal completely regular spaces that are not normal. The classical example is the Moore plane.