Here you can find the latest draft of our book

S. Alexander, V.Kapovitch, A. Petrunin, Alexandrov geometry.
The table context contains all chapters we are currently working on,
but the file includes only the following chapters:

  • The ghost of Euclid
  • Ultralimits
  • Definitions of curvature bounded below
  • Definitions of curvature bounded above
  • Kirszbraun revisited
  • Dimension
  • Gradient curves
  • Webs and barycenters
  • Distance maps
  • Research partially supported by NSF Grant DMS 0905138