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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

3 votes
3 answers
4k views

Compactness and Covering Spaces

Let p : Y -> X be an n-sheeted covering map, where X and Y are topological spaces. If X is compact, prove that Y is compact. I realize that this seems like a very simple problem, but I want to stress …
Eric Haengel's user avatar