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Math Help - change-of-basepoint homomorphism

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    change-of-basepoint homomorphism

    Show that the change-of-basepoint homomorphism \beta_h depends only on the homotopy class of h.

    Definition- A change-of-basepoint map \beta_h : \pi_1(X,x_1)\rightarrow \pi_1(X,x_0)
    by \beta_h[f]= [h \cdot f \cdot \overline{h}]. This is well-defined since if f_t is a homotopy of loops based at x_1 then h \cdot f_t \cdot \overline{h} is a homotopy of loops based at x_0.

    Update: Solved it.
    Last edited by pascal4542; February 6th 2009 at 04:16 PM.
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