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- IP_set abstract "In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set.The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty subset of D.The set of all finite sums over D is often denoted as FS(D).A set A of natural numbers is an IP set if there exists an infinite set D such that FS(D) is a subset of A.Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset.Sources disagree on the origin of the name IP set. Some claim it was coined by Furstenberg and Weiss to abbreviate "infinite-dimensional parallelepiped", while others claim that it abbreviates "idempotent" (since a set is IP if and only if it is a member of an idempotent ultrafilter).".
- IP_set wikiPageExternalLink bhm2jun03.pdf.
- IP_set wikiPageExternalLink large.pdf.
- IP_set wikiPageExternalLink vbkatsiveli20march03.pdf.
- IP_set wikiPageExternalLink somenotionsofsize.pdf.
- IP_set wikiPageID "3999498".
- IP_set wikiPageLength "3651".
- IP_set wikiPageOutDegree "18".
- IP_set wikiPageRevisionID "649471481".
- IP_set wikiPageWikiLink Category:Ergodic_theory.
- IP_set wikiPageWikiLink Category:Ramsey_theory.
- IP_set wikiPageWikiLink Category:Semigroup_theory.
- IP_set wikiPageWikiLink Empty_set.
- IP_set wikiPageWikiLink Ergodic_Ramsey_theory.
- IP_set wikiPageWikiLink H._Furstenberg.
- IP_set wikiPageWikiLink Hillel_Furstenberg.
- IP_set wikiPageWikiLink Infinite_set.
- IP_set wikiPageWikiLink Mathematics.
- IP_set wikiPageWikiLink Natural_number.
- IP_set wikiPageWikiLink Non-empty_set.
- IP_set wikiPageWikiLink Parallelepiped.
- IP_set wikiPageWikiLink Partition_regular.
- IP_set wikiPageWikiLink Partition_regularity.
- IP_set wikiPageWikiLink Piecewise_syndetic_set.
- IP_set wikiPageWikiLink Semigroup.
- IP_set wikiPageWikiLink Syndetic_set.
- IP_set wikiPageWikiLink Thick_set.
- IP_set wikiPageWikiLink Ultrafilter.
- IP_set wikiPageWikiLink Vitaly_Bergelson.
- IP_set wikiPageWikiLinkText "Hindman's theorem".
- IP_set wikiPageWikiLinkText "IP set".
- IP_set hasPhotoCollection IP_set.
- IP_set wikiPageUsesTemplate Template:Citation_style.
- IP_set wikiPageUsesTemplate Template:Cite_journal.
- IP_set wikiPageUsesTemplate Template:Reflist.
- IP_set wikiPageUsesTemplate Template:Who.
- IP_set subject Category:Ergodic_theory.
- IP_set subject Category:Ramsey_theory.
- IP_set subject Category:Semigroup_theory.
- IP_set hypernym Set.
- IP_set type Article.
- IP_set type Article.
- IP_set type Combinatoric.
- IP_set type Process.
- IP_set comment "In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set.The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty subset of D.The set of all finite sums over D is often denoted as FS(D).A set A of natural numbers is an IP set if there exists an infinite set D such that FS(D) is a subset of A.Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset.Sources disagree on the origin of the name IP set. ".
- IP_set label "IP set".
- IP_set sameAs IP-Menge.
- IP_set sameAs m.0bbtn_.
- IP_set sameAs Q1566341.
- IP_set sameAs Q1566341.
- IP_set wasDerivedFrom IP_set?oldid=649471481.
- IP_set isPrimaryTopicOf IP_set.