Star-finite collection: Difference between revisions
No edit summary |
m (2 revisions) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 11: | Line 11: | ||
* [[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]] | ||
Latest revision as of 19:59, 11 May 2008
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