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.
For x in (0,10) find open U nhood x small
enuf so that f(U) doesn't wrap around ...
Covering space of S^1 and Homomorphisms are investigated and discussed in the solution.