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An algebraic treatment of the barwise compactness theory
Authors:Isidore Fleischer  Philip Scott
Affiliation:(1) Department of Mathematics, University of Windsor, Canada;(2) Department of Mathematics, University of Ottawa, Canada
Abstract:A theorem on the extendability of certain subsets of a Boolean algebra to ultrafilters which preserve countably many infinite meets (generalizing Rasiowa-Sikorski) is used to pinpoint the mechanism of the Barwise proof in a way which bypasses the set theoretical elaborations.During the preparation of this work the second author was a postdoctoral visitor at the C. R. M. supported by a National Council of Canada operating grant.
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