|Authors:||Farah, Ilijas||Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||How many boolean algebras P(ℕ)/I are there?||Journal:||Illinois Journal of Mathematics||Volume:||46||Issue:||4||First page:||999||Last page:||1035||Issue Date:||1-Jan-2002||Rank:||M23||ISSN:||0019-2082||Abstract:||
Which pairs of quotients over ideals on ℕ can be distinguished without assuming additional set theoretic axioms? Essentially, those that are not isomorphic under the Continuum Hypothesis. A CH-diagonalization method for constructing isomorphisms between certain quotients of countable products of finite structures is developed and used to classify quotients over ideals in a class of generalized density ideals. It is also proved that many analytic ideals give rise to quotients that are countably saturated (and therefore isomorphic under CH).
|Publisher:||University of Illinois||Project:||National Science Foundation (USA), Grant DMS-0070798
PSC-CUNY, Grant #62785-00-31
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