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February 1st, 2011, 09:28 AM   #1
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Algebraic Topology

If h is a path in X starting at x0 and ending at x1 then we
have de?ned an isomorphism ?h : ?1 (X, x1 ) ? ?1 (X, x0 ).
Now suppose that x0 = x1 .
In that case ?h : ?1 (X, x0 ) ? ?1 (X, x0 ).
In other words ?h is an automorphism of ?1 (X, x0 ). Can you describe this
automorphism more concretely?
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