The Geometry of Metric and Linear Spaces: Proceedings of a Conference Held at Michigan State University, East Lansing, June 17–19, 1974

Leonard M. Blumenthal (auth.), Prof. L. M. Kelly (eds.)0-387-07417-1

Table of contents :
Four-point properties and norm postulates….Pages 1-13
On the equilateral feeble four-point property….Pages 14-16
Hypermetric spaces….Pages 17-31
Metric problems in elliptic geometry….Pages 32-43
Discrepancy and sums of distances between points of a metric space….Pages 44-56
Metric embedding techniques applied to geometric inequalities….Pages 57-65
Angles in metric spaces….Pages 66-73
Geometric fixed point theory and inwardness conditions….Pages 74-83
On some aspects of fixed point theory in Banach spaces….Pages 84-90
Mimicry in normed spaces….Pages 91-106
Smoothness classification of reflexive spaces I….Pages 107-115
Norm identities which characterize inner product spaces….Pages 116-133
Ratio-sequences of chains in connected metric spaces….Pages 134-146
Polygons….Pages 147-184
k-Equilateral (2k+1)-gons span only even-dimensional spaces….Pages 185-186
Covering space with convex bodies….Pages 188-193
Intersectional configuration of convex sets….Pages 194-205
Metric dependence and a sum of distances….Pages 206-211
Tverberg-type theorems in convex product structures….Pages 212-217
Intersecting families of convex cover order two….Pages 218-226
A helly-type theorem for widths….Pages 227-232
Problems….Pages 233-244