The Geometry of Metric and Linear Spaces

L. M. Kelly

ISBN 10: 3540074171 / ISBN 13: 9783540074175

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1975, 1975

Beschreibung

Neuware -Four-point properties and norm postulates.- On the equilateral feeble four-point property.- Hypermetric spaces.- Metric problems in elliptic geometry.- Discrepancy and sums of distances between points of a metric space.- Metric embedding techniques applied to geometric inequalities.- Angles in metric spaces.- Geometric fixed point theory and inwardness conditions.- On some aspects of fixed point theory in Banach spaces.- Mimicry in normed spaces.- Smoothness classification of reflexive spaces I.- Norm identities which characterize inner product spaces.- Ratio-sequences of chains in connected metric spaces.- Polygons.- k-Equilateral (2k+1)-gons span only even-dimensional spaces.- Covering space with convex bodies.- Intersectional configuration of convex sets.- Metric dependence and a sum of distances.- Tverberg-type theorems in convex product structures.- Intersecting families of convex cover order two.- A helly-type theorem for widths.- Problems. 260 pp. Englisch. Bestandsnummer des Verkäufers 9783540074175

Bibliografische Details

Titel: The Geometry of Metric and Linear Spaces

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1975

Erscheinungsdatum: 1975

Einband: Taschenbuch

Zustand: Neu