Non-meager free sets for meager relations on Polish spaces
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- by Taras Banakh and Lyubomyr Zdomskyy PDF
- Proc. Amer. Math. Soc. 143 (2015), 2719-2724 Request permission
Abstract:
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 that $(x,y)\notin E$ for any distinct points $x,y\in F$.References
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Additional Information
- Taras Banakh
- Affiliation: Department of Mathematics, Ivan Franko National University of Lviv, Ukraine – and – Instytut Matematyki, Jan Kochanowski University, Kielce, Poland
- MR Author ID: 249694
- Email: t.o.banakh@gmail.com
- Lyubomyr Zdomskyy
- Affiliation: Kurt Gödel Research Center for Mathematical Logic, University of Vienna, Währinger Straße 25, A-1090 Wien, Austria
- MR Author ID: 742789
- Email: lzdomsky@gmail.com
- Received by editor(s): April 9, 2013
- Received by editor(s) in revised form: October 28, 2013
- Published electronically: February 16, 2015
- Additional Notes: The first author was partially supported by NCN grants DEC-2011/01/B/ST1/01439 and DEC-2012/07/D/ST1/02087
The second author was a recipient of an APART-fellowship of the Austrian Academy of Sciences - Communicated by: Mirna Dz̆amonja
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2719-2724
- MSC (2010): Primary 54E52, 54E50; Secondary 54D80
- DOI: https://doi.org/10.1090/S0002-9939-2015-12419-7
- MathSciNet review: 3326049