Filter (mathematics)
id:
filter-mathematics-199-18429261
title:
Filter (mathematics)
text:
In mathematics, a filter or order filter is a special subset of a partially ordered set (poset), describing "large" or "eventual" elements. Filters appear in order and lattice theory, but also topology, whence they originate. The notion dual to a filter is an order ideal. Special cases of filters include ultrafilters, which are filters that cannot be enlarged, and describe nonconstructive techniques in mathematical logic. Filters on sets were introduced by Henri Cartan in 1937. Nicolas Bourbaki,
brand slug:
wiki
category slug:
encyclopedia
description:
In mathematics, a special subset of a partially ordered set
original url:
https://en.wikipedia.org/wiki/Filter_(mathematics)
date created:
date modified:
2024-02-13T10:19:35Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/68/Filter_vs_ultrafilter.svg","width":528,"height":415}
fields total:
13
integrity:
15