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Apr 25, 2010 at 23:22 comment added Dan Ramras Herb, if you want to employ David's "triangulation" for computing homology of the torus, take a look at Hatcher's algebraic topology book. He explains how to use Delta complexes in place of simplicial complexes (David's decomposition of the torus into two triangles is a Delta complex). This gives a theory in which it's easy to find (generalized) triangulations of spaces you may encounter, and also makes the resulting homology computations very clean.
Apr 25, 2010 at 5:21 history edited David Eppstein CC BY-SA 2.5
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Apr 25, 2010 at 4:12 history answered David Eppstein CC BY-SA 2.5