Structure of Three-Manifolds – Poincaré and geometrization conjectures
نویسندگان
چکیده
Ladies and gentlemen, Today I am going to tell you the story of how a chapter of mathematics has been closed and a new chapter is beginning. Let me begin with some elementary observations. A major purpose of Geometry is to describe and classify geometric structures of interest. We see many such interesting structures in our day to day life. Let us begin with topological structures of a two dimensional surface. These are spaces where locally we have two degrees of freedom. Here are some examples:
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