Metric Spaces, Convexity and Nonpositive Curvature

  • Athanase Papadopoulos

    CNRS and Université Louis Pasteur, Strasbourg, France
Metric Spaces, Convexity and Nonpositive Curvature cover

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Front matterDownload pp. i–iv
PrefaceDownload p. vii
ContentsDownload pp. ix–xi
Introduction: Some historical markersDownload pp. 1–9
1 Lengths of paths in metric spacespp. 10–33
2 Length spaces and geodesic spacespp. 34–78
3 Maps between metric spacespp. 79–102
4 Distancespp. 103–126
5 Convexity in vector spacespp. 127–158
6 Convex functionspp. 159–177
7 Strictly convex normed vector spacespp. 178–186
8 Busemann spacespp. 187–209
9 Locally convex spacespp. 210–228
10 Asymptotic rays and the visual boundarypp. 229–240
11 Isometriespp. 241–260
12 Busemann functions, co-rays and horospherespp. 261–274
Referencespp. 275–282
Indexpp. 283–287