Even infinite-dimensional Banach spaces can enjoy carpeting and tiling
Contributo in Atti di convegno
Data di Pubblicazione:
2003
Citazione:
Even infinite-dimensional Banach spaces can enjoy carpeting and tiling / C. Zanco - In: Proceedings of the 13th. Seminar on Analysis and Its Applications / S. Azam, S. Nobakhtian, M.R. Pouryayevevali, A. Rejali, G. Vakili, J. Zafarani. - [s.l] : Isfahan University Press, 2003. - ISBN 964-8658-02-1. - pp. 121-141 (( Intervento presentato al 13. convegno Even in13th. Seminar on Analysis and Its Applications tenutosi a Isfahan (Iran) nel 2003.
Abstract:
By tiling of a normed space we mean a covering of it by proper
subsets that are the closure of their nonempty connected pairwise
disjoint interiors. In the literature, only
starting with the eighties attention has been payed to tilings in
the infinite-dimensional context: the related theory already
contains some remarkable results, but still appears widely
incomplete. Here we present the state of the art, by discussing
separately two fundamental aspects of the subject, the global one
and the local one.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
tiling, covering, body, convex body, local finiteness
Elenco autori:
C. Zanco
Link alla scheda completa:
Titolo del libro:
Proceedings of the 13th. Seminar on Analysis and Its Applications