Sharper changes in topologies

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چکیده

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Sharper changes in topologies

LetG be a Polish group, τ a Polish topology on a spaceX, G acting continuously on (X, τ), with B ⊂ X G-invariant and in the Borel algebra generated by τ . Then there is a larger Polish topology τ ⊃ τ on X so that B is open with respect to τ, G still acts continuously on (X, τ), and τ has a basis consisting of sets that are of the same Borel rank as B relative to τ . 1

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1999

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-99-04498-6