ArticleOriginal scientific text
Title
Additive properties and uniformly completely Ramsey sets
Authors 1
Affiliations
- Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
Abstract
We prove some properties of uniformly completely Ramsey null sets (for example, every hereditarily Menger set is uniformly completely Ramsey null).
Keywords
QN sets, uniformly completely Ramsey sets, Ramsey null sets
Bibliography
- [BJ] T. Bartoszyński and H. Judah, Set Theory. On the Structure of the Real Line, A.K. Peters, Wellesley, MA, 1995.
- [Br] J. Brendle, Strolling through paradise, Fund. Math. 148 (1995), 1-25.
- [BRR] L. Bukovský, I. Recław and M. Repický, Spaces not distinguishing pointwise and quasinormal convergence of real functions, Topology Appl. 41 (1991), 25-40.
- [Da] U. Darji, On completely Ramsey sets, Colloq. Math. 64 (1993), 163-171.
- [Ke] A. S. Kechris, Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, 1995.
- [PR] J. Pawlikowski and I. Recław, Parametrized Cichoń's diagram and small sets, Fund. Math. 147 (1995), 135-155.
- [Rec] I. Recław, Metric spaces not distinguishing pointwise and quasinormal convergence of real functions, Bull. Polish Acad. Sci. 45 (1997), 287-289.