On the space of B-convex compacta |
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| Authors: | T Radul |
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| Institution: | a Institute of Mathematics, Casimirus the Great University, Bydgoszcz, Poland
b Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, 79000 Lviv, Ukraine |
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| Abstract: | We investigate topology of the space of B-convex compacta of finite-dimensional Banach space (the notion of B-convexity space was introduced by M. Lassak). An answer to the question of M. van de Vel about a characterization of continuity of the closed B-convex hull is given. We prove that the space of B-convex compacta is a Q-manifold iff the map of the closed B-convex hull is continuous. |
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| Keywords: | 52A01 54B20 57N20 |
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