- #1

math8

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http://en.wikipedia.org/wiki/Mayer–Vietoris_sequence#Klein_bottle

AnB is also homotopic equivalent to a circle, I would think that since the intersection is the disjoint union of two Mobius bands, it is h.e. to the disjoin union of 2 circles, hence [tex]H_n(AnB)[/tex] should be [tex]Z \oplus Z[/tex] .

Am I thinking this all wrong?