Locally finite collection: Difference between revisions
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A collection of subsets of a topological space is said to be '''locally finite''' if given any point of the topological space, there is an open set containing that point that intersects only finitely many of the subsets. | A collection of subsets of a topological space is said to be '''locally finite''' if given any point of the topological space, there is an open set containing that point that intersects only finitely many of the subsets. | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Finite collection]] | |||
===Weaker properties=== | |||
* [[Point-finite collection]] | |||
Revision as of 06:16, 18 August 2007
Template:Subset collection property
Definition
A collection of subsets of a topological space is said to be locally finite if given any point of the topological space, there is an open set containing that point that intersects only finitely many of the subsets.