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Metric Spaces, Convexity and Nonpositive Curvature

Athanase Papadopoulos
Publisher: 
European Mathematical Society
Publication Date: 
2014
Number of Pages: 
309
Format: 
Paperback
Series: 
IRMA Lectures in Mathematics and Theoretical Physics 6
Price: 
58.00
ISBN: 
9783037191323
Category: 
Monograph
We do not plan to review this book.
  • Introduction: Some historical markers
  • Lengths of paths in metric spaces
  • Length spaces and geodesic spaces
  • Maps between metric spaces
  • Distances
  • Convexity in vector spaces
  • Convex functions
  • Strictly convex normed vector spaces
  • Busemann spaces
  • Locally convex spaces
  • Asymptotic rays and the visual boundary
  • Isometries
  • Busemann functions, co-rays and horospheres
  • Bibliography
  • Index

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