End (topology)

In topology, a branch of mathematics, an end of a topological space is a point in a certain kind of compactification of the space.Let X be a non-compact topological space. Suppose that K is a non-empty compact subset of X, and a connected component of , and V ⊆ U ⊆ X an open set containing V. Then U is a neighborhood of an end of X. An end of X is an equivalence class of sequences such that , where is a neighborhood of an end.
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