Matches in SemOpenAlex for { <https://semopenalex.org/work/W2739946632> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2739946632 abstract "The ultrafilters on the partial order ((!) ! ,⊆ � ) are the free ultrafilters on !, which constitute the space ! � , the Stone- y Cech remainder of !. If U is an upperset of this partial order (i.e., a semifilter), then the ultrafilters on U correspond to closed subsets of ! � via Stone duality. If, in addition, U is sufficiently simple (more precisely,G� as a subset of 2 ! ), we show that U is similar to (!) ! in several ways. First, pU = tU = p (this extends a result of Malliaris and Shelah). Second, if d = c then there are ultrafilters on U that are also P-filters (this extends a result of Ketonen). Third, there are ultrafilters on U that are weak P-filters (this extends a result of Kunen). By choosing appropriate U, these similarity theorems find ap- plications in dynamics, algebra, and combinatorics. Most notably, we will answer two open questions of Hindman and Strauss by proving that there is an idempotent of ! � that is both minimal and maximal." @default.
- W2739946632 created "2017-08-08" @default.
- W2739946632 creator A5014159083 @default.
- W2739946632 creator A5015953065 @default.
- W2739946632 date "2015-03-20" @default.
- W2739946632 modified "2023-09-26" @default.
- W2739946632 title "$G_δ$ semifilters and $ω^*$" @default.
- W2739946632 cites W1489006728 @default.
- W2739946632 cites W1539382740 @default.
- W2739946632 cites W1595388840 @default.
- W2739946632 cites W1838259885 @default.
- W2739946632 cites W1965178775 @default.
- W2739946632 cites W1974828116 @default.
- W2739946632 cites W2013639750 @default.
- W2739946632 cites W2033599053 @default.
- W2739946632 cites W2045567483 @default.
- W2739946632 cites W2079277167 @default.
- W2739946632 cites W2087766715 @default.
- W2739946632 cites W2121739804 @default.
- W2739946632 cites W2338864436 @default.
- W2739946632 cites W2949998762 @default.
- W2739946632 cites W2962699140 @default.
- W2739946632 cites W608145207 @default.
- W2739946632 cites W866141558 @default.
- W2739946632 cites W872818295 @default.
- W2739946632 cites W881879546 @default.
- W2739946632 cites W95285539 @default.
- W2739946632 cites W977571314 @default.
- W2739946632 hasPublicationYear "2015" @default.
- W2739946632 type Work @default.
- W2739946632 sameAs 2739946632 @default.
- W2739946632 citedByCount "1" @default.
- W2739946632 countsByYear W27399466322018 @default.
- W2739946632 crossrefType "journal-article" @default.
- W2739946632 hasAuthorship W2739946632A5014159083 @default.
- W2739946632 hasAuthorship W2739946632A5015953065 @default.
- W2739946632 hasConcept C10138342 @default.
- W2739946632 hasConcept C111472728 @default.
- W2739946632 hasConcept C114614502 @default.
- W2739946632 hasConcept C118615104 @default.
- W2739946632 hasConcept C138885662 @default.
- W2739946632 hasConcept C162324750 @default.
- W2739946632 hasConcept C172252984 @default.
- W2739946632 hasConcept C182306322 @default.
- W2739946632 hasConcept C202444582 @default.
- W2739946632 hasConcept C2780586882 @default.
- W2739946632 hasConcept C33923547 @default.
- W2739946632 hasConcept C39613435 @default.
- W2739946632 hasConcept C94375191 @default.
- W2739946632 hasConceptScore W2739946632C10138342 @default.
- W2739946632 hasConceptScore W2739946632C111472728 @default.
- W2739946632 hasConceptScore W2739946632C114614502 @default.
- W2739946632 hasConceptScore W2739946632C118615104 @default.
- W2739946632 hasConceptScore W2739946632C138885662 @default.
- W2739946632 hasConceptScore W2739946632C162324750 @default.
- W2739946632 hasConceptScore W2739946632C172252984 @default.
- W2739946632 hasConceptScore W2739946632C182306322 @default.
- W2739946632 hasConceptScore W2739946632C202444582 @default.
- W2739946632 hasConceptScore W2739946632C2780586882 @default.
- W2739946632 hasConceptScore W2739946632C33923547 @default.
- W2739946632 hasConceptScore W2739946632C39613435 @default.
- W2739946632 hasConceptScore W2739946632C94375191 @default.
- W2739946632 hasLocation W27399466321 @default.
- W2739946632 hasOpenAccess W2739946632 @default.
- W2739946632 hasPrimaryLocation W27399466321 @default.
- W2739946632 isParatext "false" @default.
- W2739946632 isRetracted "false" @default.
- W2739946632 magId "2739946632" @default.
- W2739946632 workType "article" @default.