Star-finite collection: Difference between revisions
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* [[Finite collection]] | * [[Finite collection]] | ||
==Weaker properties=== | ===Weaker properties=== | ||
* [[Locally finite collection]] if the collection comprises open subsets | * [[Locally finite collection]] if the collection comprises open subsets | ||
* [[Point-finite collection]] | * [[Point-finite collection]] | ||
Revision as of 06:24, 18 August 2007
Template:Subset collection property
Definition
A star-finite collection of subsets of a set is a collection of subsets such that every member of the collection intersects only finitely many members.
Relation with other properties
Stronger properties
Weaker properties
- Locally finite collection if the collection comprises open subsets
- Point-finite collection