The {L}aczkovich - {K}omjáth property for coanalytic equivalence relations

نویسندگان

  • Su Gao
  • Steve Jackson
  • Vincent Kieftenbeld
چکیده

Let E be a coanalytic equivalence relation on a Polish space X and (An)n∈ù a sequence of analytic subsets of X . We prove that if lim supn∈K An meets uncountably many E-equivalence classes for every K ∈ [ù] , then there exists a K ∈ [ù] such that T n∈K An contains a perfect set of pairwise E-inequivalent elements. §

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عنوان ژورنال:
  • J. Symb. Log.

دوره 75  شماره 

صفحات  -

تاریخ انتشار 2010