The connectivity and approximative properties of sets in linear normed spaces |
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Authors: | V. A. Koshcheev |
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Affiliation: | 1. Institute of Mathematics and Mechanics, Ukrainian Scientific Center, Academy of Sciences, USSR
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Abstract: | The connectivity of suns is investigated. It is shown that a sun is connected in finite-dimensional space. A set M in uniformly convex space X is shown to be approximatively compact if and only if M is P-compact and the metric projection of X onto M is upper semicontinuous. |
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