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Denote 2-dimensional torus by $T^2=S^1 \times S^1$ ,and unit disc by $ D^2$.Define $$ T^2\# T^2=T^2-D^2\cup_{S^1}T^2-D^2 $$
how to compute $H_n(T^2 \# T^2)$

Bruce
  • 181

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