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Caliber (mathematics)
In mathematics, the caliber or calibre of a topological space ''X'' is a cardinal ''κ'' such that for every set of ''κ'' nonempty open subsets of ''X'' there is some point of ''X'' contained in ''κ'' of these subsets. This concept was introduced by .
There is a similar concept for posets. A pre-caliber of a poset ''P'' is a cardinal ''κ'' such that for any collection of elements of ''P'' indexed by ''κ'', there is a subcollection of cardinality ''κ'' that is centered. Here a subset of a poset is called centered if for any finite subset there is an element of the poset less than or equal to all of them.
==References==
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