sequential continuity

noun

The property of a function f between metric spaces, that given a convergent sequence x_n→x^*, then f(x_n)→f(x^*), i.e. the property of a function that it preserves sequential convergence.

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Meanings

nounsequential continuity (uncountable)
  1. uncountablemathematical analysisThe property of a function f between metric spaces, that given a convergent sequence x_n→x^*, then f(x_n)→f(x^*), i.e. the property of a function that it preserves sequential convergence.

Translations

German Folgenstetigkeit
  • Folgenstetigkeitproperty of a function
Romanian continuitate secvențială
  • continuitate secvențialăproperty of a function
Cite this entry
APA

sequential continuity. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/sequential%20continuity

MLA

“sequential continuity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/sequential%20continuity. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “sequential continuity,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/sequential%20continuity.

Source: sequential continuity on Wiktionary, CC BY-SA 4.0.