A pseudocompact space with Kelley's property has a strictly positive measure
N. Kalamidas (1997)
Rendiconti del Seminario Matematico della Università di Padova
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N. Kalamidas (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Beloslav Riečan (1967)
Matematický časopis
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C. Gryllakis, G. Koumoullis (1990)
Compositio Mathematica
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James Foran (1976)
Fundamenta Mathematicae
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Jan Mařík (1957)
Czechoslovak Mathematical Journal
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Menachem Kojman, Henryk Michalewski (2011)
Fundamenta Mathematicae
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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.
A. Macbeath, S. Świerczkowski (1960)
Fundamenta Mathematicae
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