Transitive properties of ideals on generalized Cantor spaces

• Autorzy: Kraszewski J.
• Języki publikacji: EN

Abstrakty

EN

We compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we show that there exists a null set A is a subset of 2^[omega]1 such that for every null set B is a subset of 2^[omega]1 we can find x is an element of 2^[omega]1 such that A union (A + x) cannot be covered by any translation of B.

Słowa kluczowe

EN

generalized Cantor spaces; transitive cardinal coefficients

PL

przestrzeń Cantora uogólniona

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 2
• Strony: 115--121
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kraszewski J.

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland,

Bibliografia

• [1] T. Bartoszyński, A note on duality between measure and category, Proc. Amer. Math. Soc. 128 (2000), 2745-2748.
• [2] T. Bartoszyński and H. Judah, Set Theory: On the Structure of the Real Line, A. K. Peters, Wellesley, MA, 1995.
• [3] T. J. Carlson, Strong measure zero and strongly meager sets, Proc. Amer. Math. Soc. 118 (1993), 577-586.
• [4] J. Cichoń and J. Kraszewski, On some new ideals on the Cantor and Baire spaces, ibid. 126 (1998), 1549-1555.
• [5] J. Kraszewski, Properties of ideals on generalized Cantor spaces, J. Symbolic Logic 66 (2001), 1303-1320.
• [6] M. Kysiak, On Erdős-Sierpiński duality for Lebesgue measure and Baire category, Master's thesis, Warszawa, 2000 (in Polish).