Isomorphism of fundamental groups

(See attached file for full problem description with proper symbols)

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a) Under what conditions will two path classes,   and  , from   to  , give rise to the same isomorphism of   onto  ?


b) Let   be an arcwise-connected space.  Under what conditions is the following true:

For any two points , all path classes from   to  give rise to the same isomorphism of   onto  ?

Attached file(s):

Isomorphism of fundamental groups.doc  View File