sequential continuity
Noun
Meaning
sequential continuity (uncountable)
(mathematical analysis) The property of a function
f
{\displaystyle f}
between metric spaces, that given a convergent sequence
x
n
→
x
∗
{\displaystyle x_{n}\rightarrow x^{*}}
, then
f
(
x
n
)
→
f
(
x
∗
)
{\displaystyle f(x_{n})\rightarrow f(x^{*})}
, i.e. the property of a function that it preserves sequential convergence.