NON-MEAGER FREE SETS FOR MEAGER RELATIONS ON POLISH SPACES

作者：Banakh Taras^*; Zdomskyy Lyubomyr

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(6): 2719-2724.

DOI：10.1090/s0002-9939-2015-12419-7

• Meager relation
• free set

We prove that for each meager relation E subset of X x X on a Polish space X there is a nowhere meager subspace F subset of X which is E-free in the sense that (x, y) is not an element of E for any distinct points x, y is an element of F.

• 出版日期2015-6