Template:Closed subspace-closed: Difference between revisions
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===Weak hereditariness=== | ===Weak hereditariness=== | ||
{{quotation|''This property of topological spaces is [[weakly hereditary property of topological spaces|weakly hereditary]] or closed subspace-closed; in other words, any closed subspace of a space with the property, also has the property'' | {{quotation|''This property of topological spaces is [[satisfies metaproperty::weakly hereditary property of topological spaces|weakly hereditary]] or closed subspace-closed; in other words, any closed subset (equipped with the [[subspace topology]]) of a space with the property, also has the property.''<br>{{#ask: [[satisfies metaproperty::weakly hereditary property of topological spaces]]|limit = 0|searchlabel = View all weakly hereditary properties of topological spaces}} <nowiki>|</nowiki> {{#ask: [[satisfies metaproperty::subspace-hereditary property of topological spaces]]|limit = 0|searchlabel = View all subspace-hereditary properties of topological spaces}}}} | ||
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Latest revision as of 16:53, 26 October 2009
Weak hereditariness
This property of topological spaces is weakly hereditary or closed subspace-closed; in other words, any closed subset (equipped with the subspace topology) of a space with the property, also has the property.
View all weakly hereditary properties of topological spaces | View all subspace-hereditary properties of topological spaces