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How can I construct a CW complex A with $H_0(A) = \mathbb{Z}$, $H_2(A) = \mathbb{Z}/4\mathbb{Z}$, $H_4(A) = \mathbb{Z}\oplus\mathbb{Z}$ and all other homology groups trivial? Any idea?

Thanks!

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    could you give some motivation? is this a homework question? the only reason I would think it is HW is because of the way you have written it.2010-12-16

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