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Non-meager free sets for meager relations on Polish spaces
Banakh, Taras, 1968- ; Zdomskyy, Lyubomyr, 1983-
We prove that for each meager relation ▫$E \subset X \times X$▫ on a Polish space ▫$X$▫ there is a nowhere meager subspace ▫$F \subset X$▫ which is ▫$E$▫-free in the sense ▫$(x,y) \notin E$▫ that for ...any distinct points ▫$x, y \in F$▫.
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