DC Field | Value | Language |
---|---|---|
dc.contributor.author | Farah, Ilijas | en |
dc.contributor.author | Shelah, Saharon | en |
dc.date.accessioned | 2020-04-27T10:33:39Z | - |
dc.date.available | 2020-04-27T10:33:39Z | - |
dc.date.issued | 2014-01-01 | en |
dc.identifier.issn | 0021-2172 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/771 | - |
dc.description.abstract | We prove that the statement ‘For all Borel ideals I and J on ω, every isomorphism between Boolean algebras P(ω)/I and P(ω)/J has a continuous representation’ is relatively consistent with ZFC. In this model every isomorphism between P(ω)/I and any other quotient P(ω)/J over a Borel ideal is trivial for a number of Borel ideals I on ω.We can also assure that the dominating number, σ, is equal to ℵ1 and that (Formula presented.). Therefore, the Calkin algebra has outer automorphisms while all automorphisms of P(ω)/Fin are trivial.Proofs rely on delicate analysis of names for reals in a countable support iteration of Suslin proper forcings. | en |
dc.publisher | Springer Link | - |
dc.relation | United States–Israel Binational Science Foundation, Grant no. 2010405 | - |
dc.relation | National Science Foundation, Grant no. DMS 1101597 | - |
dc.relation.ispartof | Israel Journal of Mathematics | en |
dc.title | Trivial automorphisms | en |
dc.type | Article | en |
dc.identifier.doi | 10.1007/s11856-014-1048-5 | en |
dc.identifier.scopus | 2-s2.0-84908513119 | en |
dc.relation.firstpage | 701 | en |
dc.relation.lastpage | 728 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 201 | en |
dc.description.rank | M21 | - |
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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