Weakly hereditary property of topological spaces: Difference between revisions
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Latest revision as of 20:00, 11 May 2008
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.