Spread: Difference between revisions
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==Definition== | ==Definition== | ||
The '''spread''' of a [[topological space]] is the supremum of cardinality over all discrete subsets. If this cardinality is finite, we take the | The '''spread''' of a [[topological space]] is the supremum of cardinality over all discrete subsets. If this cardinality is finite, we take the spread as countable. | ||
==Relation with other cardinal functions== | ==Relation with other cardinal functions== | ||
* [[Cellularity]] | * [[Cellularity]] | ||
Latest revision as of 19:58, 11 May 2008
Template:Topospace cardinal function
Definition
The spread of a topological space is the supremum of cardinality over all discrete subsets. If this cardinality is finite, we take the spread as countable.