Geometrical arguments concerning two-sided submanifolds, flat submanifolds and pinched bicollars
T. Rushing (1972)
Fundamenta Mathematicae
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T. Rushing (1972)
Fundamenta Mathematicae
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Takashi Kimura (1988)
Fundamenta Mathematicae
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Libor Vesely (2000)
Extracta Mathematicae
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A Banach space X is called polyhedral if the unit ball of each one of its finite-dimensional (equivalently: two-dimensional [6]) subspaces is a polytope. Polyhedral spaces were studied by various authors; most of the structural results are due to V. Fonf. We refer the reader to the surveys [1], [2] for other definitions of polyhedrality, main properties and bibliography. In this paper we present a short alternative proof of the basic result on the structure of the unit ball of the polyhedral...
Murphy, James Lee (1976)
Portugaliae mathematica
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H. Lambert (1967)
Fundamenta Mathematicae
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Steve Armentrout (1970)
Fundamenta Mathematicae
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Robert Daverman (1971)
Fundamenta Mathematicae
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Ganster, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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Ana Forte Cunto (1991)
Publicacions Matemàtiques
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G. Beer defined the visibility function of a set S and proved its continuity in the interior of S. It is proved here that the visibility function of a planar Jordan domain is continuous precisely at the cone points of the boundary of S.