Radon, Baire, and Borel measures on compact spaces. I
نویسندگان
چکیده
منابع مشابه
Nonseparable Radon measures and small compact spaces
We investigate the problem if every compact space K carrying a Radon measure of Maharam type κ can be continuously mapped onto the Tikhonov cube [0, 1] (κ being an uncountable cardinal). We show that for κ ≥ cf(κ) ≥ ω2 this holds if and only if κ is a precaliber of measure algebras. Assuming that there is a family of ω1 null sets in 21 such that every perfect set meets one of them, we construct...
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We prove: (1) Every Baire measure on the Kojman-Shelah Dowker space [10] admits a Borel extension. (2) If the continuum is not a real-valued measurable cardinal then every Baire measure on the M. E. Rudin Dowker space [16] admits a Borel extension. Consequently, Balogh’s space [3] remains as the only candidate to be a ZFC counterexample to the measure extension problem of the three presently kn...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1989
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381517761