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    Isomorphisms and path classes

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    (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 ?

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    https://brainmass.com/math/linear-transformation/isomorphisms-path-classes-65655

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    Solution Summary

    This answers to questions about conditions necessary for path classes to give rise to a given isomorphism.

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