Ultraconnectedness is weakly hereditary: Difference between revisions
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property = ultraconnected space| | property = ultraconnected space| | ||
metaproperty = weakly hereditary property of topological spaces}} | metaproperty = weakly hereditary property of topological spaces}} | ||
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==Statement== | ==Statement== | ||
Latest revision as of 04:31, 30 January 2014
This article gives the statement, and possibly proof, of a topological space property (i.e., ultraconnected space) satisfying a topological space metaproperty (i.e., weakly hereditary property of topological spaces)
View all topological space metaproperty satisfactions | View all topological space metaproperty dissatisfactions
Get more facts about ultraconnected space |Get facts that use property satisfaction of ultraconnected space | Get facts that use property satisfaction of ultraconnected space|Get more facts about weakly hereditary property of topological spaces
Statement
Any closed subset of an ultraconnected space is an ultraconnected space in the subspace topology.