Solovay model and duality principle between the measure and the Baire category in a Polish topological vector space $H(X,S,μ)$

preprint2015arXivOpen access

In Solovay model it is shown that the duality principle between the measure and the Baire category holds true with respect to the sentence - "The domain of an arbitrary generalized integral for a vector-function is of first category."

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Solovay model and duality principle between the measure and the Baire category in a Polish topological vector space $H(X,S,μ)$

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Solovay model and duality principle between the measure and the Baire category in a Polish topological vector space H(X,S,μ)H(X,S,μ)H(X,S,μ)

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Solovay model and duality principle between the measure and the Baire category in a Polish topological vector space $H(X,S,μ)$