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2 cs 441 discrete mathematics for cs m hauskrecht set • definition: a set is a (unordered) collection of objects these objects are sometimes called elements or members of the set. Formal definition let x be a topological spacea covering space of x is a topological space c together with a continuous surjective map: → such that for every ∈, there exists an open neighborhood u of x, such that − (the inverse image of u under p) is a union of disjoint open sets in c, each of which is mapped homeomorphically onto u by p.
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