dense set
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subset whose closure is the whole space
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In topology and related areas of mathematics, a subset A of a topological space X is said to be dense in X if every point of X either belongs to A or else is arbitrarily "close" to members of A — for instance, the rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation). Formally,
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Connections
continuous function
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metric space
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topological space
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Nicolas Bourbaki
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image
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closure
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mathematics
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International Standard Book Number
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complex number
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real number
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topology
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rational number
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digital object identifier
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irrational number
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polynomial
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empty set
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OCLC, Inc.
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subset
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interval
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Cartesian product
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