The Geometry of Metric and Linear Spaces
The Geometry of Metric and Linear Spaces Proceedings of a Conference Held at Michigan State University, East Lansing, June 17–19, 1974 / [electronic resource] :
edited by L. M. Kelly.
- XII, 248 p. online resource.
- Lecture Notes in Mathematics, 490 0075-8434 ; .
- Lecture Notes in Mathematics, 490 .
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.
9783540379461
10.1007/BFb0081125 doi
Mathematics.
Mathematics, general.
QA1-939
510
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.
9783540379461
10.1007/BFb0081125 doi
Mathematics.
Mathematics, general.
QA1-939
510