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Algebra question in algebraic topology

  1. Mar 31, 2009 #1

    quasar987

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    In Hatcher, p. 262 (http://www.math.cornell.edu/~hatcher/AT/ATch3.4.pdf), he writes, just before Lemma 3A.1, "the next lemma shows that this cokernel is just [itex]H_n(C)\otimes G[/itex]. I can't say that I see how this follows.

    Thanks!
     
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  3. Mar 31, 2009 #2

    quasar987

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    Ok I see it now. It just comes from tensoring the exact sequence B_n-->Z_n-->H_n-->0.
     
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