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
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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