About: Pseudo-intersection

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In mathematical set theory, a pseudo-intersection of a family of sets is an infinite set S such that each element of the family contains all but a finite number of elements of S. The pseudo-intersection number, sometimes denoted by the fraktur letter 𝔭, is the smallest size of a family of infinite subsets of the natural numbers that has the strong finite intersection property but has no pseudo-intersection.

Attributes	Values
rdfs:label	Pseudo-intersection (en) Pseudosnitt (sv)
rdfs:comment	In mathematical set theory, a pseudo-intersection of a family of sets is an infinite set S such that each element of the family contains all but a finite number of elements of S. The pseudo-intersection number, sometimes denoted by the fraktur letter 𝔭, is the smallest size of a family of infinite subsets of the natural numbers that has the strong finite intersection property but has no pseudo-intersection. (en) Inom mängdteori, en del av matematiken, är ett pseudosnitt av en familj av mängder en oändlig mängd S så att varje element av familjen innehåller alla utom ett ändligt antal av elementen av S. Pseudosnittalet, ibland betecknad med 𝔭, är den minsta storleken av en familj av oändliga delmängder av naturliga talen som har den men har inget pseudosnitt. (sv)
dct:subject	Set theory
Wikipage page ID	43743012 (xsd:integer)
Wikipage revision ID	648937330 (xsd:integer)
Link from a Wikipage to another Wikipage	Infinite set Mathematics Set theory Fraktur Set theory Strong finite intersection property
sameAs	Pseudo-intersection Pseudo-intersection Pseudo-intersection Pseudo-intersection
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Settheory-stub
has abstract	In mathematical set theory, a pseudo-intersection of a family of sets is an infinite set S such that each element of the family contains all but a finite number of elements of S. The pseudo-intersection number, sometimes denoted by the fraktur letter 𝔭, is the smallest size of a family of infinite subsets of the natural numbers that has the strong finite intersection property but has no pseudo-intersection. (en) Inom mängdteori, en del av matematiken, är ett pseudosnitt av en familj av mängder en oändlig mängd S så att varje element av familjen innehåller alla utom ett ändligt antal av elementen av S. Pseudosnittalet, ibland betecknad med 𝔭, är den minsta storleken av en familj av oändliga delmängder av naturliga talen som har den men har inget pseudosnitt. (sv)
gold:hypernym	Infinite
prov:wasDerivedFrom	wikipedia-en:Pseudo-intersection?oldid=648937330&ns=0
page length (characters) of wiki page	730 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Pseudo-intersection
is Link from a Wikipage to another Wikipage of	Pseudointersection Γ-space Glossary of set theory Pseudo-intersection number Pseudo intersection Pseudo intersection number
is Wikipage redirect of	Pseudointersection Pseudo-intersection number Pseudo intersection Pseudo intersection number
is foaf:primaryTopic of	wikipedia-en:Pseudo-intersection

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