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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.

    © BrainMass Inc. brainmass.com October 9, 2019, 6:27 pm ad1c9bdddf
    https://brainmass.com/math/synthetic-geometry/covering-space-homomorphisms-88733

    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.

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