The Geometry of Metric and Linear Spaces

Proceedings of a Conference held at Michigan State University, East Lansing, Michigan, USA, June 17-19, 1974

260 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540074175
• Sprache: Englisch
• Erscheinungsdatum: 01.11.1975
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: L. M. Kelly