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What is Cl short for in topology?

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Anonymous

14y ago
Updated: 8/18/2019

Cl is often used as shorthand for closure, e.g. if B, tis a topological space then Cl B is the closure of B. The closure of a topological space B, t is defined as the intersection of all of the closed sets containing B. The closure of C ⊂ B where B, D is a metric space is defined as all of the elements of B that have a 0 metric with C, written as

Cl C = {b Є B | D(b, C) = 0}.

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Wiki User

14y ago

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