Additive properties and uniformly completely Ramsey sets

Andrzej Nowik

Colloquium Mathematicae (1999)

  • Volume: 82, Issue: 2, page 191-199
  • ISSN: 0010-1354

Abstract

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We prove some properties of uniformly completely Ramsey null sets (for example, every hereditarily Menger set is uniformly completely Ramsey null).

How to cite

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Nowik, Andrzej. "Additive properties and uniformly completely Ramsey sets." Colloquium Mathematicae 82.2 (1999): 191-199. <http://eudml.org/doc/210756>.

@article{Nowik1999,
abstract = {We prove some properties of uniformly completely Ramsey null sets (for example, every hereditarily Menger set is uniformly completely Ramsey null).},
author = {Nowik, Andrzej},
journal = {Colloquium Mathematicae},
keywords = {QN sets; uniformly completely Ramsey sets; Ramsey null sets; hereditarily Menger sets},
language = {eng},
number = {2},
pages = {191-199},
title = {Additive properties and uniformly completely Ramsey sets},
url = {http://eudml.org/doc/210756},
volume = {82},
year = {1999},
}

TY - JOUR
AU - Nowik, Andrzej
TI - Additive properties and uniformly completely Ramsey sets
JO - Colloquium Mathematicae
PY - 1999
VL - 82
IS - 2
SP - 191
EP - 199
AB - We prove some properties of uniformly completely Ramsey null sets (for example, every hereditarily Menger set is uniformly completely Ramsey null).
LA - eng
KW - QN sets; uniformly completely Ramsey sets; Ramsey null sets; hereditarily Menger sets
UR - http://eudml.org/doc/210756
ER -

References

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  1. [BJ] T. Bartoszyński and H. Judah, Set Theory. On the Structure of the Real Line, A.K. Peters, Wellesley, MA, 1995. 
  2. [Br] J. Brendle, Strolling through paradise, Fund. Math. 148 (1995), 1-25. Zbl0835.03010
  3. [BRR] L. Bukovský, I. Recław and M. Repický, Spaces not distinguishing pointwise and quasinormal convergence of real functions, Topology Appl. 41 (1991), 25-40. Zbl0768.54025
  4. [Da] U. Darji, On completely Ramsey sets, Colloq. Math. 64 (1993), 163-171. Zbl0830.28001
  5. [Ke] A. S. Kechris, Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, 1995. 
  6. [PR] J. Pawlikowski and I. Recław, Parametrized Cichoń's diagram and small sets, Fund. Math. 147 (1995), 135-155. Zbl0847.04004
  7. [Rec] I. Recław, Metric spaces not distinguishing pointwise and quasinormal convergence of real functions, Bull. Polish Acad. Sci. 45 (1997), 287-289. Zbl0897.54013

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