On analytic filters and prefilters-Reference-Cited by-同舟云学术

On analytic filters and prefilters

Published:1990-03 Issue:1 Volume:55 Page:315-322
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Zafrany Samy

Abstract

AbstractWe show that every analytic filter is generated by a prefilter, every filter is generated by a prefilter, and if is a prefilter then the filter generated by it is also . The last result is unique for the Borel classes, as there is a -complete prefilter P such that the filter generated by it is -complete. Also, no complete coanalytic filter is generated by an analytic prefilter. The proofs use König's infinity lemma, a normal form theorem for monotone analytic sets, and Wadge reductions.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference14 articles.

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3. Zafrany Samy [1987], Complexity of Borel ideals, iterated Fréchet quantifiers, and related sets of countable models, Ph.D. thesis, University of California, Berkeley, California.

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