Atlas: Combinatorics of the algebra of regular open subsets of the Cech-Stone remainder of the real line. by Michael Hrusak

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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

Combinatorics of the algebra of regular open subsets of the Cech-Stone remainder of the real line.
by
Michael Hrusak
Instituto de matematicas, UNAM, Morelia
Coauthors: B. Balcar, Center for Theoretical Study, Charles University, Prague

We compare the structure of the algebra P(N)/fin and Clop(C)^N/Fin, where C denotes the Cantor set. We show that the distributivity number of the algebra Clop(C)^N/Fin is bounded by the distributivity number of P(N)/fin and by additivity of the meager ideal on R. As a corollary we obtain a result of A. Dow who showed that in the Mathias model the algebras P(N)/fin and Clop(C)^N/Fin are not forcing equivalent.

Date received: February 26, 2003