disjoint union

noun

A union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing).

Similar
discriminated unioncoproductdirect sumfree sumfree uniontopological sum

Meanings

noundisjoint union (plural disjoint unions)

plural disjoint unions

  1. mathematicsA union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing).

    Synonyms: discriminated union

  2. mathematicsA union of sets which are already pairwise disjoint.

    Synonyms: discriminated union

  3. mathematicsThe disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology.

    Synonyms: coproduct, direct sum, free sum, free union, topological sum

Synonyms & antonyms

nounA union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing).

Similar
discriminated union

nounA union of sets which are already pairwise disjoint.

Similar
discriminated union

nounThe disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology.

Similar
coproductdirect sumfree sumfree uniontopological sum

Translations

Icelandic sundurlæga sammengi
  • sundurlæga sammengiunion of topologies
Italian unione disgiunta, unione disgiunta
  • unione disgiuntaunion of sets forced to be disjoint
  • unione disgiuntaunion of already disjoint sets
Swedish disjunkt union, disjunkt union
  • disjunkt unionunion of sets forced to be disjoint
  • disjunkt unionunion of already disjoint sets
Cite this entry
APA

disjoint union. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/disjoint%20union

MLA

“disjoint union.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/disjoint%20union. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “disjoint union,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/disjoint%20union.

Source: disjoint union on Wiktionary, CC BY-SA 4.0.