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The Three-Dimensional Universe, Where We Are Not Living...

... etc. Geometrical theory of three-dimensional manifolds developed in the last quarter of the past century by W. Thurston and his followers confirmed once again the correctness of these general views A simple spherical manifold is a three-dimensional sphere S 3 . It can be defined as the boundary of a four-dimensional ball or, which is the same, as a set of points in the space E 4 equally distant from the center. Using a stereographic projection, one can set a one-to-one and bicontinuous correspondence ...

Modified: 30.05.2006
space , manifold , geometry , Euclid , Lobachevsky , Riemann , mathematics , multi-dimensional , forms , point , sphere , torus , polyhedral , orbifolds
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