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On the existence of
strong liftings in second countable topological spaces
Siegfried Graf |
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Vol. 58 (1975), No. 2, 419–426
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Abstract |
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Let X be a second countable topological space, A a σ-field of subsets of X containing all open sets and μ a finile positive measure on A, such that (X,A,μ) is a complete measure space and μ(U) > 0 for every nonempty open U ⊂ X. Then there exists a lifting ϕ : A → A which satisfies U ⊂ ϕ(U) for every open subset U ⊂ X. |
Mathematical Subject Classification 2000
Primary: 46G15
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Milestones
Received: 13 May 1974
Published: 1 June 1975
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Authors |
| Siegfried Graf | |
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