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    Covering space of S^1 and Homomorphisms

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    Let p: (0,10) --> S^1, p(t) = (cos t, sin t).
    Show that p is a local homomorphism, but ((0,10), p) is NOT a covering space of S^1.

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    Solution Preview

    For x in (0,10) find open U nhood x small
    enuf so that f(U) doesn't wrap around ...

    Solution Summary

    Covering space of S^1 and Homomorphisms are investigated and discussed in the solution.