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- Ultrafilter abstract "In the mathematical field of set theory, an ultrafilter on a set X is a collection of subsets of X that is a filter, that cannot be enlarged (as a filter). If A is a subset of X, then either A or X \ A is an element of the ultrafilter (here X \ A is the relative complement of A in X; that is, the set of all elements of X that are not in A). The concept can be generalized to Boolean algebras or even to general partial orders, and has many applications in set theory, model theory, and topology.An ultrafilter may be considered as a finitely additive measure. In this view, every subset of X is either considered "almost everything" (has measure 1) or "almost nothing" (has measure 0).".
- Ultrafilter wikiPageExternalLink home.html.
- Ultrafilter wikiPageID "31911".
- Ultrafilter wikiPageRevisionID "579494538".
- Ultrafilter hasPhotoCollection Ultrafilter.
- Ultrafilter subject Category:Non-standard_analysis.
- Ultrafilter subject Category:Order_theory.
- Ultrafilter subject Category:Set_families.
- Ultrafilter type Abstraction100002137.
- Ultrafilter type Family108078020.
- Ultrafilter type Group100031264.
- Ultrafilter type Organization108008335.
- Ultrafilter type SetFamilies.
- Ultrafilter type SocialGroup107950920.
- Ultrafilter type Unit108189659.
- Ultrafilter type YagoLegalActor.
- Ultrafilter type YagoLegalActorGeo.
- Ultrafilter type YagoPermanentlyLocatedEntity.
- Ultrafilter comment "In the mathematical field of set theory, an ultrafilter on a set X is a collection of subsets of X that is a filter, that cannot be enlarged (as a filter). If A is a subset of X, then either A or X \ A is an element of the ultrafilter (here X \ A is the relative complement of A in X; that is, the set of all elements of X that are not in A).".
- Ultrafilter label "Ultrafilter".
- Ultrafilter label "Ultrafilter".
- Ultrafilter label "Ultrafiltre".
- Ultrafilter label "Ultrafiltro".
- Ultrafilter label "Ultrafiltro".
- Ultrafilter label "Ultrafiltro".
- Ultrafilter label "Ультрафильтр".
- Ultrafilter label "超滤子".
- Ultrafilter sameAs Ultrafiltr.
- Ultrafilter sameAs Ultrafilter.
- Ultrafilter sameAs Ultrafiltro.
- Ultrafilter sameAs Ultrafiltre.
- Ultrafilter sameAs Ultrafiltro.
- Ultrafilter sameAs Ultrafiltro.
- Ultrafilter sameAs m.07vdm.
- Ultrafilter sameAs Q1571831.
- Ultrafilter sameAs Q1571831.
- Ultrafilter sameAs Ultrafilter.
- Ultrafilter wasDerivedFrom Ultrafilter?oldid=579494538.
- Ultrafilter isPrimaryTopicOf Ultrafilter.