First-countability is hereditary: Difference between revisions
(New page: {{topospace metaproperty satisfaction}} ==Statement== ===Verbal statement=== Any subspace of a first-countable space is a first-countable space, with the subspace topology.) |
No edit summary |
||
| Line 1: | Line 1: | ||
{{topospace metaproperty satisfaction}} | {{topospace metaproperty satisfaction| | ||
property = first-countable space| | |||
metaproperty = hereditary property of topological spaces}} | |||
==Statement== | ==Statement== | ||
Latest revision as of 11:23, 8 August 2008
This article gives the statement, and possibly proof, of a topological space property (i.e., first-countable space) satisfying a topological space metaproperty (i.e., hereditary property of topological spaces)
View all topological space metaproperty satisfactions | View all topological space metaproperty dissatisfactions
Get more facts about first-countable space |Get facts that use property satisfaction of first-countable space | Get facts that use property satisfaction of first-countable space|Get more facts about hereditary property of topological spaces
Statement
Verbal statement
Any subspace of a first-countable space is a first-countable space, with the subspace topology.