Precompact set may refer to:
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Relatively compact subspace
In mathematics, a relatively compact subspace (or relatively compact subset, or precompact subset) of a topological space is a subset whose closure is compact.
Properties
Every subset of a compact topological space is relatively compact (sinc ...
, a subset whose closure is compact
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Totally bounded set
In topology and related branches of mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily closed. A totally bounded set can be covered by finitely many subsets of every fixed “siz ...
, a subset that can be covered by finitely many subsets of fixed size
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