Data di Pubblicazione:
2012
Citazione:
On a question by Corson about point-finite coverings / A. Marchese, C. Zanco. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - 189:1(2012), pp. 55-63. [10.1007/s11856-011-0126-1]
Abstract:
We answer in the affirmative the following question raised by H. H. Corson in 1961: " Is it
possible to cover every Banach space X by bounded convex sets with nonempty interior in such a way
that no point of X belongs to infinitely many of them?"
Actually we show the way to produce in every Banach space X a bounded convex tiling of order 2,
i.e. a covering of X by bounded convex closed sets with nonempty interior (tiles)
such that the interiors are pairwise disjoint and no point of X belongs to more than two tiles.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
coverings of Banach spaces ; point-finite coverings ; tilings
Elenco autori:
A. Marchese, C. Zanco
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