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id = 927, parent = 926, thread = 923, catid = 26, locked = 0, moved = 0,
userid = kyanh, ip =, time = 2006/01/12 (1137058249) ,
subject = Re:hyperbolic geometry, hits = 0, karma = 0+0-,
Hyperbolic Geometry (1996)


Bản preprint, giới thiệu nhanh về HG.
These notes are intended as a relatively quick introduction to hyperbolic geometry. They review the wonderful history of non-Euclidean geometry. They give five different analytic models for and several combinatorial approximations to non-Euclidean geometry by means of which the reader can develop an intuition for the behavior of this geometry. They develop a number of the properties of this geometry which are particularly important in topology and group theory. They indicate some of the fundamental problems being approached by means of non-Euclidean geometry in topology and group theory.