Projective Spaces

Part of the Problem Books in Mathematics book series (PBM)


Affine spaces have the serious inconvenience that certain theorems have exceptional cases, for instance when lines become parallel. Projective spaces were created by Desargues in 1639 to remedy this situation. The affine space is completed with points at infinity which correspond to the directions of straight lines. Then one needs to know how to come back to the original affine space. This program is carried out here in two steps: Chapters 4 and 5.


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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

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