Sigma-compact,nowhere locally compact metric spaces can be densely imbedded in Hilbert space |
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Authors: | D.W. Curtis |
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Affiliation: | Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA |
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Abstract: | It is shown that if H is a connected, locally contractible, separable, topologically complete metric space with the property that mappings of separable metric spaces into H are approximable by imbeddings (in particular, if H is Hilbert space), then every sigma-compact, nowhere locally compact metric space can be densely imbedded in H. |
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Keywords: | Primary 54C25 Secondary 54D45 |
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