DC Field | Value | Language |
---|---|---|
dc.contributor.author | Farah, Ilijas | en |
dc.contributor.author | Shelah, Saharon | en |
dc.date.accessioned | 2020-04-27T10:33:40Z | - |
dc.date.available | 2020-04-27T10:33:40Z | - |
dc.date.issued | 2010-06-01 | en |
dc.identifier.issn | 0219-0613 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/782 | - |
dc.description.abstract | We prove a strong dichotomy for the number of ultrapowers of a given model of cardinality ≤ 2א0 associated with nonprincipal ultrafilters on ℕ. They are either all isomorphic, or else there are 2 2א0 many nonisomorphic ultrapowers. We prove the analogous result for metric structures, including C*-algebras and II1 factors, as well as their relative commutants and include several applications. We also show that the C*-algebra B(H) always has nonisomorphic relative commutants in its ultrapowers associated with nonprincipal ultrafilters on ℕ. | en |
dc.publisher | World Scientific | - |
dc.relation | Israel Science Foundation, Grant no. 710/07 | - |
dc.relation.ispartof | Journal of Mathematical Logic | en |
dc.subject | Dichotomy | ultrapower | en |
dc.title | A dichotomy for the number of ultrapowers | en |
dc.type | Article | en |
dc.identifier.doi | 10.1142/S0219061310000936 | en |
dc.identifier.scopus | 2-s2.0-79956109393 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 45 | en |
dc.relation.lastpage | 81 | en |
dc.relation.issue | 1-2 | en |
dc.relation.volume | 10 | en |
dc.description.rank | M23 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0001-7703-6931 | - |
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