Geometries on Surfaces by Burkard Polster

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  • Title: Geometries on Surfaces
  • Author: Burkard Polster
  • Category: Different
  • Date: 05/01/13
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9781139238939

 

Ebook description:

The projective, Möbius, Laguerre, and Minkowski planes over the actual numbers are only a few examples of a number of elementary classical topological geometries on surfaces. This e book summarizes all identified main outcomes and open issues associated to those classical point-line geometries and their shut (nonclassical) kinfolk. Subjects coated embody: classical geometries; strategies for setting up nonclassical geometries; classifications and characterizations of geometries. This work is said to many different fields together with interpolation principle, convexity, the speculation of pseudoline preparations, topology, the speculation of Lie teams, and plenty of more. The authors element these connections, a few of that are well-known, however many a lot much less so. Appearing each as a reference for specialists and as an accessible introduction for graduate college students, this e book will curiosity anybody wishing to know more about point-line geometries and the best way they work together.

 

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