Urysohn is hereditary: Difference between revisions
(Created page with "{{topospace metaproperty satisfaction| property = Urysohn space| metaproperty = subspace-hereditary property of topological spaces}} ==Statement== Any subset of a [[Urysohn ...") |
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| [[completely regular space]] || [[complete regularity is hereditary]] | | [[completely regular space]] || [[complete regularity is hereditary]] | ||
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| [[collectionwise Hausdorff space]] || [[collectionwise Hausdorff is hereditary] | | [[collectionwise Hausdorff space]] || [[collectionwise Hausdorff is hereditary]] | ||
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Revision as of 02:27, 25 January 2012
This article gives the statement, and possibly proof, of a topological space property (i.e., Urysohn space) satisfying a topological space metaproperty (i.e., subspace-hereditary property of topological spaces)
View all topological space metaproperty satisfactions | View all topological space metaproperty dissatisfactions
Get more facts about Urysohn space |Get facts that use property satisfaction of Urysohn space | Get facts that use property satisfaction of Urysohn space|Get more facts about subspace-hereditary property of topological spaces
Statement
Any subset of a Urysohn space, endowed with the subspace topology, is also a Urysohn space.
Related facts
Similar facts
Other similar facts:
- Normality is weakly hereditary
- Compactness is weakly hereditary
- [[Monotone normality is hereditary]
Opposite facts
- [[Normality is not hereditary]