The Geometry of metric and linear spaces : proceedings of a conference held at Michigan State University, East Lansing, June 17-19, 1974

Bibliographic Information

The Geometry of metric and linear spaces : proceedings of a conference held at Michigan State University, East Lansing, June 17-19, 1974

edited by L.M. Kelly

(Lecture notes in mathematics, 490)

Springer-Verlag, 1975

  • : Germany
  • : U.S.

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Includes bibliographical references

Description and Table of Contents

Table of Contents

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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