Club filter

id: club-filter-196-12246896
title: Club filter
text: In mathematics, particularly in set theory, if κ is a regular uncountable cardinal then club ⁡ , the filter of all sets containing a club subset of κ , is a κ -complete filter closed under diagonal intersection called the club filter. To see that this is a filter, note that κ ∈ club ⁡ since it is thus both closed and unbounded. If x ∈ club ⁡ then any subset of κ containing x is also in club ⁡ , since x , and therefore anything containing it, contains a club set. It is a κ -complete filter becaus
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Club_filter
date created:
date modified: 2024-03-04T06:13:54Z
main entity: {"identifier":"Q5136438","url":"https://www.wikidata.org/entity/Q5136438"}
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fields total: 13
integrity: 13

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