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Rigidity properties of Borel ideals on the integers
by
Ilijas Farah
York University, Canada
Consider Borel ideals on the integers (Borel in the natural Cantor-set topology on the power-set P(N) of the integers). We study the question: How does a change of the ideal I affect the change of its quotient P(N)/I? The quotient can be viewed as a Boolean algebra, or as a space of cosets of I, considered as a subgroup of P(N). We shall show that in many situations a quotient P(N)/I determines the ideal I uniquely, and discuss the current understanding of this rapidly developing subject.
Reference: A.S. Kechris, Rigidity properties of Borel ideals on the integers, Top. Appl. 85 (1998), 195-205.
Date received: February 15, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caca-39.