Definable Ideals and Gaps in Their Quotients

Stevo Todorcevic
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Stevo Todorcevic: University of Toronto, Department of Mathematics

A chapter in Set Theory, 1998, pp 213-226 from Springer

Abstract: Abstract We extend some known results about analytic gaps and ideals on ℕ to all definable gaps and ideals assuming a covering property of definable sets of reals X which says that if X cannot be covered by countably many members of some family ℱ of closed sets then there is a G δ set with the same property which is included in X.

Keywords: Countable Subset; Quotient Algebra; Analytic Ideal; Clopen Subset; Supercompact Cardinal (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-8988-8_15

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DOI: 10.1007/978-94-015-8988-8_15

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