product topology

noun

The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper.

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Meanings

nounproduct topology (plural product topologies)

plural product topologies

  1. mathematicsThe topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper.

Translations

Finnish tulotopologia
  • tulotopologiaproduct topology
Polish topologia iloczynów
  • topologia iloczynówproduct topology
Cite this entry
APA

product topology. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/product%20topology

MLA

“product topology.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/product%20topology. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “product topology,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/product%20topology.

Source: product topology on Wiktionary, CC BY-SA 4.0.