Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659498 | Topology and its Applications | 2012 | 5 Pages |
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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