Here $T_g$ denotes the g-fold torus, and $T_i\times T_j$ denotes the cartesian product. My major trouble is that I can't use Kunneth's Theorem. Thanks for helping!
How can be computed $H_n(T_i \times T_j)$?
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algebraic-topology
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0Maybe try induction and the long exact sequence for a pair. (There are many pairs you could choose; some slicker than others.) – 2012-11-29