The {L}aczkovich—{K}omjáth property for coanalytic equivalence relations
Su Gao, Steve Jackson, and Vincent Kieftenbeld
Source: J. Symbolic Logic Volume 75, Issue 3
(2010), 1091-1101.
Abstract
Let E be a coanalytic equivalence relation on a Polish space X and (An)n ∈ ω a sequence of analytic subsets of X. We prove that if lim supn ∈ K An meets uncountably many E-equivalence classes for every K ∈ [ω]ω, then there exists a K ∈ [ω]ω such that ⋂n ∈ K An contains a perfect set of pairwise E-inequivalent elements.
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Keywords: Limit superior of a sequence of sets; coanalytic equivalence relations; Laczkovich—Komjáth property
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1278682218
Digital Object Identifier: doi:10.2178/jsl/1278682218
Mathematical Reviews number (MathSciNet): MR2723785
Zentralblatt MATH identifier: 05795061
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