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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", others 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 wikiPageRevisionID "601845183".
- IP_set hasPhotoCollection IP_set.
- IP_set subject Category:Ergodic_theory.
- IP_set subject Category:Ramsey_theory.
- IP_set subject Category:Semigroup_theory.
- 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.".
- IP_set label "IP set".
- IP_set label "IP-Menge".
- IP_set sameAs IP-Menge.
- IP_set sameAs m.0bbtn_.
- IP_set sameAs Q1566341.
- IP_set sameAs Q1566341.
- IP_set wasDerivedFrom IP_set?oldid=601845183.
- IP_set isPrimaryTopicOf IP_set.