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The connectivity and approximative properties of sets in linear normed spaces
Authors:V A Koshcheev
Institution:1. Institute of Mathematics and Mechanics, Ukrainian Scientific Center, Academy of Sciences, USSR
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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