By Burkard Polster,Günter Steinke

ISBN-10: 0521660580

ISBN-13: 9780521660587

The projective, Möbius, Laguerre, and Minkowski planes over the genuine numbers are only a number of examples of a number of primary classical topological geometries on surfaces. This ebook summarizes all recognized significant effects and open difficulties relating to those classical point-line geometries and their shut (nonclassical) kinfolk. themes lined comprise: classical geometries; equipment for developing nonclassical geometries; classifications and characterizations of geometries. This paintings is said to many different fields together with interpolation concept, convexity, the idea of pseudoline preparations, topology, the idea of Lie teams, and plenty of extra. The authors element those connections, a few of that are recognized, yet many less so. appearing either as a reference for specialists and as an obtainable creation for graduate scholars, this ebook will curiosity someone wishing to understand extra approximately point-line geometries and how they interact.

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Geometries on Surfaces (Encyclopedia of Mathematics and its Applications) by Burkard Polster,Günter Steinke


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