ultrafilter (Q1571831)
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maximal proper filter
- maximal filter
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ultrafilter |
maximal proper filter |
|
Statements
Filter vs ultrafilter.svg
528 × 415; 18 KB
528 × 415; 18 KB
in the powerset lattice of {1,2,3,4}, the principal filter ↑{1,4} (dark green) isn’t an ultrafilter since it can be extended to the larger nontrivial filter ↑{1} by including also the light green elements; but ↑{1} is an ultrafilter since it can’t be so extended (English)
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Sitelinks
Wikipedia(14 entries)
- cswiki Ultrafiltr
- dewiki Ultrafilter
- enwiki Ultrafilter
- eswiki Ultrafiltro
- frwiki Ultrafiltre
- itwiki Ultrafiltro
- jawiki 超フィルター
- kkwiki Ультрасүзгі
- kowiki 초필터
- ptwiki Ultrafiltro
- ruwiki Ультрафильтр
- svwiki Ultrafilter
- ukwiki Ультрафільтр (математика)
- zhwiki 超滤子