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I read in Hatcher's "Algebraic topology" book about orientability of topological maifolds using homology. now I would like to know how one can apply this to show that the möbius strip is not orientable? i have no idea.

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    A connected $n$-manifold is orientable iff $H_n(M,\partial M)\cong\mathbb Z$.2012-05-16
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    how can one prove this? or is it in hatcher's book, at whic page?2012-05-16
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    See Theorem 3.43 of Hatcher.2012-05-16
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    @Jim - Surely this should be an answer? :)2012-05-17

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