Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950843913> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2950843913 abstract "We study isomorphic universality of Banach spaces of a given density and a number of pairwise non-isomorphic models in the same class. We show that in the Cohen model the isomorphic universality number for Banach spaces of density $aleph_1$ is $aleph_2$, and analogous results are true for other cardinals (Theorem 1.2(1)) and that adding just one Cohen real to any model destroys the old universality of Banach spaces of density $aleph_1$ (Theorem 1.5). Moreover, adding one Cohen real adds a weakly compactly generated Banach space of density $aleph_1$ which does not embed into any Banach space of density $aleph_1$ in the ground model. We develop the framework of natural spaces to study isomorphic embeddings of Banach spaces and use it to show that a sufficient failure of the generalized continuum hypothesis implies that the universality number of Banach spaces of a given density under a certain kind of positive embeddings (very positive embeddings), is high (Theorem 4.8(1)), and similarly for the number of pairwise non-isomorphic models (Theorem 4.8(2))." @default.
- W2950843913 created "2019-06-27" @default.
- W2950843913 creator A5037145063 @default.
- W2950843913 date "2013-08-16" @default.
- W2950843913 modified "2023-09-27" @default.
- W2950843913 title "Isomorphic universality and the number of pairwise non-isomorphic models in the class of Banach spaces" @default.
- W2950843913 cites W1487303443 @default.
- W2950843913 cites W1573613387 @default.
- W2950843913 cites W1969367065 @default.
- W2950843913 cites W1984435202 @default.
- W2950843913 cites W2004772385 @default.
- W2950843913 cites W2027977117 @default.
- W2950843913 cites W2030167190 @default.
- W2950843913 cites W2060478164 @default.
- W2950843913 cites W2799061192 @default.
- W2950843913 cites W2963958194 @default.
- W2950843913 hasPublicationYear "2013" @default.
- W2950843913 type Work @default.
- W2950843913 sameAs 2950843913 @default.
- W2950843913 citedByCount "0" @default.
- W2950843913 crossrefType "posted-content" @default.
- W2950843913 hasAuthorship W2950843913A5037145063 @default.
- W2950843913 hasConcept C105795698 @default.
- W2950843913 hasConcept C109214941 @default.
- W2950843913 hasConcept C118615104 @default.
- W2950843913 hasConcept C121332964 @default.
- W2950843913 hasConcept C132954091 @default.
- W2950843913 hasConcept C172294467 @default.
- W2950843913 hasConcept C183992945 @default.
- W2950843913 hasConcept C184898388 @default.
- W2950843913 hasConcept C184908153 @default.
- W2950843913 hasConcept C202444582 @default.
- W2950843913 hasConcept C2781424814 @default.
- W2950843913 hasConcept C33923547 @default.
- W2950843913 hasConcept C62520636 @default.
- W2950843913 hasConceptScore W2950843913C105795698 @default.
- W2950843913 hasConceptScore W2950843913C109214941 @default.
- W2950843913 hasConceptScore W2950843913C118615104 @default.
- W2950843913 hasConceptScore W2950843913C121332964 @default.
- W2950843913 hasConceptScore W2950843913C132954091 @default.
- W2950843913 hasConceptScore W2950843913C172294467 @default.
- W2950843913 hasConceptScore W2950843913C183992945 @default.
- W2950843913 hasConceptScore W2950843913C184898388 @default.
- W2950843913 hasConceptScore W2950843913C184908153 @default.
- W2950843913 hasConceptScore W2950843913C202444582 @default.
- W2950843913 hasConceptScore W2950843913C2781424814 @default.
- W2950843913 hasConceptScore W2950843913C33923547 @default.
- W2950843913 hasConceptScore W2950843913C62520636 @default.
- W2950843913 hasLocation W29508439131 @default.
- W2950843913 hasOpenAccess W2950843913 @default.
- W2950843913 hasPrimaryLocation W29508439131 @default.
- W2950843913 hasRelatedWork W1557977291 @default.
- W2950843913 hasRelatedWork W1921604599 @default.
- W2950843913 hasRelatedWork W1972982445 @default.
- W2950843913 hasRelatedWork W1978460817 @default.
- W2950843913 hasRelatedWork W1993923551 @default.
- W2950843913 hasRelatedWork W2010064730 @default.
- W2950843913 hasRelatedWork W2011009262 @default.
- W2950843913 hasRelatedWork W2023713784 @default.
- W2950843913 hasRelatedWork W2037213966 @default.
- W2950843913 hasRelatedWork W2055764040 @default.
- W2950843913 hasRelatedWork W2063372566 @default.
- W2950843913 hasRelatedWork W2091854414 @default.
- W2950843913 hasRelatedWork W2092386161 @default.
- W2950843913 hasRelatedWork W2155400132 @default.
- W2950843913 hasRelatedWork W2498334530 @default.
- W2950843913 hasRelatedWork W2950098958 @default.
- W2950843913 hasRelatedWork W2950357959 @default.
- W2950843913 hasRelatedWork W2950391612 @default.
- W2950843913 hasRelatedWork W2972700489 @default.
- W2950843913 hasRelatedWork W3000201175 @default.
- W2950843913 isParatext "false" @default.
- W2950843913 isRetracted "false" @default.
- W2950843913 magId "2950843913" @default.
- W2950843913 workType "article" @default.