The Geometry of Metric and Linear Spaces

Proceedings of a Conference held at Michigan State University, East Lansing, Michigan, USA, June 17-19, 1974
Herausgegeben:Kelly, L. M.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 490
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07417-5
• 1975
• Seitenzahl: 260
• Erscheinungstermin: 1. November 1975
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 424g
• ISBN-13: 9783540074175
• ISBN-10: 3540074171
• Artikelnr.: 23557095

Inhaltsangabe

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.