The geometry of metric and linear spaces : proceedings of a conference held at Michigan State University, East Lansing, June 17-19, 1974 / L. M. Kelly
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 490Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1975ISBN: 9783540074175.ISSN: 1617-9692.Sujet MSC : 51-06, Proceedings, conferences, collections, etc. pertaining to geometry52-06, Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry
46-06, Proceedings, conferences, collections, etc. pertaining to functional analysisEn-ligne : Springerlink
Table of Contents: Preface (p. iii); Participants (pp. vii-viii); Program (pp. ix-x); Leonard M. Blumenthal, Four-point properties and norm postulates (pp. 1–13); Leroy M. Kelly, On the equilateral feeble four-point property (pp. 14–16); John B. Kelly, Hypermetric spaces (pp. 17–31); Johan J. Seidel, Metric problems in elliptic geometry (pp. 32–43); Kenneth B. Stolarsky, Discrepancy and sums of distances between points of a metric space (pp. 44–56); Ralph Alexander, Metric embedding techniques applied to geometric inequalities (pp. 57–65); Joseph E. Valentine, Angles in metric spaces (pp. 66–73); James Caristi and William A. Kirk, Geometric fixed point theory and inwardness conditions (pp. 74–83); Michael Edelstein, On some aspects of fixed point theory in Banach spaces (pp. 84–90); Mahlon M. Day, Mimicry in normed spaces (pp. 91–106); Kondagunta Sundaresan, Smoothness classification of reflexive spaces. (pp. 116–133); Victor Klee, Ratio-sequences of chains in connected spaces (pp. 134–146); Branko Grünbaum, Polygons (pp. 147–184); Jim Lawrence, k-equilateral (2k+1)-gons span only even-dimensional spaces (pp. 185–186); Gulbank D. Chakerian, Covering space with convex bodies (pp. 187–193); Clinton M. Petty, Intersectional configuration of convex sets (pp. 194–205); Dorothy Wolfe, Metric dependence and a sum of distances (pp. 206–211); Gerald Thompson and William R. Hare, Tverberg-type theorems in convex product structures (pp. 212–217); Marilyn Breen, Intersecting families of convex cover order two (pp. 218–226); G. T. Sallee, A Helly-type theorem for widths (pp. 227–232); Problems (contributed by Kenneth B. Stolarsky, Andrew Sobczyk, R. Freese, Victor Klee, Allen Freedman, David Kay, J. J. Seidel, Tom Sallee, G. D. Chakerian, L. M. Kelly, R. B. Eggleton, A. S. Fraenkel, Branko Grünbaum, Ralph Alexander, James Chew, M. Edelstein, J. B. Kruskal, Dorothy Wolfe and Leo Moser) (edited by Richard K. Guy) (pp. 233–244).
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