Characterizations of spaces by embeddings in βX |
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Authors: | Raymond F Gittings |
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Institution: | Department of Mathematics, Brooklyn College of CUNY, New York, NY 11210, USA |
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Abstract: | In this paper we obtain characterizations of metrizable spaces, paracompact M-spaces, Moore spaces and semimetrizable spaces in terms of the way those spaces are embedded in their Stone-?ech compactification. In addition, we give an internal characterization of paracompact M-spaces which we use in the proof of the embedding characterization. |
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Keywords: | Primary: 54E25 54E30 54E35 54D35 Secondary: 54D20 |
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