Advertisement

Barycenters; the Universal Space

Chapter
  • 998 Downloads
Part of the Problem Books in Mathematics book series (PBM)

Abstract

We have seen that in an affine space X we cannot add points or multiply them by scalars. However, there is an operation on points which generalizes the notion of midpoint (x + y)/2 (cf. 2.A): taking the barycenter.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Marcel Berger 1984

Authors and Affiliations

  1. 1.U.E.R. de Mathematique et InformatiqueUniversité Paris VIIParis, Cedex 05France
  2. 2.Centre National de la Recherche ScientifiqueParisFrance
  3. 3.P.U.K.GrenobleFrance

Personalised recommendations