Geodesic
Borel extensions of Baire measures in ZFC
Menachem Kojman 1   ; Henryk Michalewski 2
1 Department of Mathematics Ben-Gurion University of the Negev Beer Sheva, Israel
2 Department of Mathematics University of Warsaw 02-097 Warszawa, Poland
Fundamenta Mathematicae, Tome 211 (2011) no. 3, pp. 197-223 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm211-3-1
Keywords: prove every baire measure kojman shelah dowker space admits borel extension continuum real valued measurable every baire measure rudins dowker space admits borel extension consequently baloghs space remains only candidate zfc counterexample measure extension problem three presently known zfc dowker spaces

Menachem Kojman  1   ; Henryk Michalewski  2

1 Department of Mathematics Ben-Gurion University of the Negev Beer Sheva, Israel
2 Department of Mathematics University of Warsaw 02-097 Warszawa, Poland 
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Menachem Kojman; Henryk Michalewski. Borel extensions of Baire measures in ZFC. Fundamenta Mathematicae, Tome 211 (2011) no. 3, pp. 197-223. doi: 10.4064/fm211-3-1

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