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Classification of surfaces
From Mathematics Is A Science
Revision as of 15:10, 16 February 2011 by imported>WikiSysop
Theorem . (1) A compact connected surface is homeomorphic to one of the three:
- the sphere, or
- the connected sum of of n tori, or
- the connected sum of of n projective planes.
(2) These options are not homeomorphic.
