On compact spaces carrying Radon measures of uncountable Maharam type

• Autorzy: David H. Fremlin
• Języki publikacji: EN

Abstrakty

EN

If Martin's Axiom is true and the continuum hypothesis is false, and X is a compact Radon measure space with a non-separable $L^1$ space, then there is a continuous surjection from X onto $[0,1]^{ω_1}$.

Kategorie tematyczne

• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1997
• Tom: 154
• Numer: 3
• Strony: 295-304

Daty

wydano

1997

otrzymano

1997-02-24

poprawiono

1997-05-09

Twórcy

autor

David H. Fremlin

• Department of Mathematics, University of Essex, Colchester, England

Bibliografia

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• [14] G. Plebanek, Nonseparable Radon measures and small compact spaces, Fund. Math. 153 (1997), 25-40.