The Geometry of Metric and Linear Spaces
Proceedings of a Conference held at Michigan State University, East Lansing, Michigan, USA, June 17-19, 1974
- Editore:
Springer Berlin Heidelberg
- Collana:
- Lecture Notes In Mathematics
- EAN:
9783540074175
- ISBN:
3540074171
- Pagine:
- 260
- Formato:
- Paperback
- Lingua:
- Tedesco
Descrizione The Geometry of Metric and Linear Spaces
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.
