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The Laczkovich-Komjáth property for coanalytic equivalence relations
Published online by Cambridge University Press: 12 March 2014
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∈kAn meets uncountably many E-equivalence classes for every K ∈ [ω]ω, then there exists K ∈ [ω]ω such that ∩n∈kAn contains a perfect set of pairwise E-inequivalent elements.
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- Copyright © Association for Symbolic Logic 2010
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