Definition:Sequential Continuity/Point
< Definition:Sequential Continuity(Redirected from Definition:Sequential Continuity at Point)
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Definition
Let $T_1 = \struct {S_1, \tau_1}$ and $T_2 = \struct {S_2, \tau_2}$ be topological spaces.
Let $f: S_1 \to S_2$ be a mapping.
Let $x \in S_1$.
Then $f$ is sequentially continuous at (the point) $x$ if and only if: