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In: Advanced Math

describe through mathematics how the central concepts of convergence and continuity transform from the usual Euclidean...

describe through mathematics how the central concepts of convergence and continuity transform from the usual Euclidean distance on the real line, to the more abstract notion of distance as given by a metric on a metric space, to finally a description that only refers to open sets. It should also describe how the concept of topology emerges from metric spaces.

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