The Geometry of Metric and Linear Spaces

Proceedings of a Conference held at Michigan State University, East Lansing, Michigan, USA, June 17-19, 1974
1. Auflage 1975
ISBN: 978-3-540-07417-5
Verlag: Springer

Buch, Englisch, Band 490, 248 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 400 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Kelly, L. M.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

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.