Borel extensions of Baire measures in ZFC

• Autorzy: Menachem Kojman , Henryk Michalewski
• Języki publikacji: EN

Abstrakty

EN

We prove:
1) Every Baire measure on the Kojman-Shelah Dowker space admits a Borel extension.
2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension.
Consequently, Balogh's space remains the only candidate to be a ZFC counterexample to the measure extension problem of the three presently known ZFC Dowker spaces.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 211
• Numer: 3
• Strony: 197-223

Daty

wydano

2011

Twórcy

autor

Menachem Kojman

• Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

autor

Henryk Michalewski

• Department of Mathematics, University of Warsaw, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm211-3-1