About the proof of the homology of the Klein Bottle here: http://en.wikipedia.org/wiki/Mayer–Vietoris_sequence#Klein_bottle.(adsbygoogle = window.adsbygoogle || []).push({});

I do not see how the conclusion follows from the fact that we can "choose" {(1,0), (1,-1)} as a basis forZ²...

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# Homology of the Klein Bottle using M-V sequences

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