Relation between fundametal group of a space and its covering space
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The fundamental group is one of the most important topological invariants of a space, and a rather accessible one at that. It is essentially a “group of loops,” consisting of all possible loops in a space up to homotopy. Definition 2.1. A loop (sometimes called a closed path) in X is a path f with f(0) = f(1).
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here's ua answer :
_______________^__^
The fundamental group is one of the most important topological invariants of a space, and a rather accessible one at that. It is essentially a “group of loops,” consisting of all possible loops in a space up to homotopy. Definition 2.1. A loop (sometimes called a closed path) in X is a path f with f(0) = f(1).
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