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

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