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Non-Baire hyperplanes in non-separable Baire spaces - MaRDI portal

Non-Baire hyperplanes in non-separable Baire spaces (Q1206865)

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scientific article; zbMATH DE number 150608
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English
Non-Baire hyperplanes in non-separable Baire spaces
scientific article; zbMATH DE number 150608

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    Non-Baire hyperplanes in non-separable Baire spaces (English)
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    1 April 1993
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    The author gives necessary and sufficient conditions for the existence of a dense non-Baire hyperplane of a topological vector space. His results imply that every infinite-dimensional Banach space has a dense non-Baire hyperplane, thereby solving an important open problem.
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    existence of a dense non-Baire hyperplane of a topological vector space
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    every infinite-dimensional Banach space has a dense non-Baire hyperplane
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