The Geometry of Metric and Linear Spaces

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