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Disjoint union (topology)


 

In topology and related areas of mathematics, the disjoint union (also called the direct sum, free union, or coproduct) of a family of topological spaces is a space formed by equipping the disjoint union of the underlying sets with a natural topology called the disjoint union topology.

Related Topics:
Topology - Mathematics - Topological space - Disjoint union

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The name coproduct originates from the fact that the disjoint union is the categorical dual of the product space construction.

Related Topics:
Categorical dual - Product space

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