On Borel version of uniformly completely Ramsey sets

• Autorzy: Nowik A.
• Języki publikacji: EN

Abstrakty

EN

We study the Borel versions of uniformly completely Ramsey null sets. We give general theorems on game-defined classes of sigma-ideals.

Słowa kluczowe

EN

Ramsey null sets; topological games; uniformly completely Ramsey sets

PL

gra topologiczna; zbiór pusty Ramsey'a

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2002
• Tom: Vol. 50, no 1
• Strony: 59--68
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Nowik A.

• Institute of Mathematics, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland
• University of Gdańsk, Institute of Mathematics, Wita Stwosza 57, 80-952 Gdańsk, Poland

Bibliografia

• [1] M. Balcerzak, Can ideals without ccc be interesting?, Topology Appl., 55 (1994) 251-260.
• [2] M. Balcerzak, On σ - ideals having perfect members in all perfect sets, Demonstratio Math., 22 (1989) 1159-1168.
• [3] M. Balcerzak, Some properties of ideals of sets in Polish spaces, (habilitation thesis), Łódź University Press, Łódź 1991.
• [4] T. Bartoszyński, H. Judah, Set Theory: on the structure of the real line, A. K. Peters, Wellesley, Massachusetts 1995.
• [5] U. Darji, On completely Ramsey sets, Colloq. Math., 64 (1993) 163-171.
• [6] A. S. Kechris, Classical descriptive set theory, Springer-Verlag, Berlin 1995.
• [7] A. Nowik, Additive properties and uniformly completely Ramsey sets, Colloq. Math., 82 (1999) 191-199.
• [8] J. Pawlikowski, I. Recław, Parametrized Cichoń’s diagram and small sets, Fund. Math., 147 (1995) 135-155.
• [9] K. Schilling, A tale of two (s)-ities, Real Anal. Exchange, 24 (1998) 477-482.