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Covering Spaces : Compact Hausdorff Spaces and Homomorphisms

Assume X and Y are arcwise connected and locally arcwise connected, X is compact Hausdorff, and Y is Hausdorff. Let f: X-->Y be a local homeomorphism. Prove that (X,f) is a covering space.

Solution Summary

Covering Spaces, Compact Hausdorff Spaces and Homomorphisms are investigated. The solution is detailed and well presented.

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