Pseudonormal space: Difference between revisions
No edit summary |
No edit summary |
||
| Line 7: | Line 7: | ||
===Symbol-free definition=== | ===Symbol-free definition=== | ||
A [[topological space]] is said to be ''pseudonormal''' if given two disjoint closed subsets, at least one of which is countable, there are disjoint open sets containing them. | A [[topological space]] is said to be '''pseudonormal''' if it is [[T1 space|T1]] and given two disjoint closed subsets, at least one of which is countable, there are disjoint open sets containing them. | ||
==Relation with other properties== | ==Relation with other properties== | ||
| Line 14: | Line 14: | ||
* [[Normal space]] | * [[Normal space]] | ||
===Weaker properties=== | |||
* [[Regular space]] | |||
Revision as of 19:45, 18 December 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This is a variation of normality. View other variations of normality
Definition
Symbol-free definition
A topological space is said to be pseudonormal if it is T1 and given two disjoint closed subsets, at least one of which is countable, there are disjoint open sets containing them.