منابع مشابه
dedekind modules and dimension of modules
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15 صفحه اولMeasure and Dimension for some Fractal Families
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We prove that each analytic set in R contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. Similar results also hold for universally meager sets. An essential part of the construction involves an analysis of Lipschitzlike mappings of separable metric s...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1947
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1947-0023325-3