Characterizations of certain classes of infinite dimensional metrizable spaces |
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Authors: | Yasunao Hattori |
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Affiliation: | Department of Mathematics, Osaka Kyoiku University, Tennoji, Osaka 543, Japan |
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Abstract: | We shall give the characterizations of metrizable spaces that have both large transfinite dimension Ind and strong small transfinite dimension sind in terms of ranks and developments. A characterization of such separable metrizable spaces by means of embeddings into the Hilbert cube is also obtained. |
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Keywords: | 54F45 54E35 |
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