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Definition 2024

sequential_continuity

sequential continuity

English

Noun

sequential continuity ‎(uncountable)

(analysis) The property of a function $f$ between metric spaces, that given a convergent sequence $x_{n}\rightarrow x^{*}$ , then $f(x_{n})\rightarrow f(x^{*})$ , i.e. the property of a function that it preserves sequential convergence.

Translations

property of a function

German: Folgenstetigkeit f

Romanian: continuitate secvențială f