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: Tomasz Weiss
• 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 $2^ω$. This settles in the affirmative a question of T. Bartoszyński.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 03E15: Descriptive set theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: 62
• Numer: 1
• Strony: 1-9

Daty

wydano

2014

Twórcy

autor

Tomasz Weiss

• 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

Identyfikatory

DOI

10.4064/ba62-1-1