Addendum to “On Meager Additive and Null Additive Sets in the Cantor space 2^ω and in R” (Bull. Polish Acad. Sci. Math. 57 (2009), 91–99)

• Autorzy: Weiss T.

Identyfikatory

DOI

10.4064/ba62-1-1

• Języki publikacji: EN

Abstrakty

EN

We prove in ZFC that there is a set A⊆2^ω and a surjective function H:A→(0,1) such that for every null additive set X⊆(0,1), H^-1(X) is null additive in 2ω. This settles in the affirmative a question of T. Bartoszyński.

Słowa kluczowe

EN

null additive sets; translations in 2ω and in R

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no 1
• Strony: 1--9
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Weiss T.

• Institute of Mathematics University of Natural Sciences and Humanities 08-110 Siedlce, Poland
• Department of Mathematics Cardinal Stefan Wyszyński University in Warsaw Dewajtis 5 01-815 Warszawa, Poland

Bibliografia

• [1] T. Bartoszyński and H. Judah, Set Theory. On the Structure of the Real Line, A K Peters, Wellesley, MA, 1995.
• [2] J. Pawlikowski, A characterization of strong measure zero sets, Israel J. Math. 93 (1996), 171-183.
• [3] B. Tsaban and T. Weiss, Products of special sets of real numbers, Real Anal. Exchange 30 (2004/2005), 819-835.
• [4] T. Weiss, On meager additive and null additive sets in the Cantor space 2ω and in R, Bull. Polish Acad. Sci. Math. 57 (2009), 91-99.