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Topology

S

SchrodingersDog

Banned
I think all of us would agree that there are an infinate number of topologically distinct two-dimensional surfaces. It seems that when dealing with three-dimensional surfaces, there are only eight shapes that are topologically distinct. Could someone please provide a proof for this statement? Thanks
 
Wrong there ar infintitley many three-dimenssional shapes, 1-torus 2-torus 3-torus N-torus.Having said that Topology really has nothing to do with those ideas.It is related to Uniform properties of Open sets.
 
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