Question: A homomorphism between two covering spaces pX X and P2 X X is a map f: X X so that p = P f.

A homomorphism between two covering spaces pX X and P2 X X

A homomorphism between two covering spaces pX X and P2 X X is a map f: X X so that p = P f. (a) Classify all the covering spaces of S up to isomorphism. (b) Find all homomorphisms between these covering spaces.

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