Borel extensions of Baire measures in ZFC
Menachem Kojman; Henryk Michalewski
Fundamenta Mathematicae (2011)
- Volume: 211, Issue: 3, page 197-223
- ISSN: 0016-2736
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topMenachem Kojman, and Henryk Michalewski. "Borel extensions of Baire measures in ZFC." Fundamenta Mathematicae 211.3 (2011): 197-223. <http://eudml.org/doc/283064>.
@article{MenachemKojman2011,
abstract = {
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.
},
author = {Menachem Kojman, Henryk Michalewski},
journal = {Fundamenta Mathematicae},
keywords = {Baire measure; Borel measure; Dowker space},
language = {eng},
number = {3},
pages = {197-223},
title = {Borel extensions of Baire measures in ZFC},
url = {http://eudml.org/doc/283064},
volume = {211},
year = {2011},
}
TY - JOUR
AU - Menachem Kojman
AU - Henryk Michalewski
TI - Borel extensions of Baire measures in ZFC
JO - Fundamenta Mathematicae
PY - 2011
VL - 211
IS - 3
SP - 197
EP - 223
AB -
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.
LA - eng
KW - Baire measure; Borel measure; Dowker space
UR - http://eudml.org/doc/283064
ER -
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