February 1st, 2011, 10:28 AM  #1 
Newbie Joined: Nov 2010 Posts: 28 Thanks: 0  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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algebraic, topology 
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