Weakly hereditary property of topological spaces

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This article defines a metaproperty of topological spaces: a property that can be evaluated to true/false for any property of topological spaces
View a complete list of metaproperties of topological spaces
View topological space properties satisfying this metaproperty| View topological space properties dissatisfying this metaproperty
VIEW RELATED: topological space metaproperty satisfactions| topological space metaproperty dissatisfactions

Definition

A property of topological spaces is termed closed-hereditary, weakly hereditary, or closed subspace-closed if any closed subset of a topological space having the property, also has the property in the subspace topology.

Relation with other metaproperties

Stronger metaproperties