Definition:Continuous Real Function/Everywhere
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Definition
Let $f : \R \to \R$ be a real function.
Then $f$ is everywhere continuous if and only if $f$ is continuous at every point in $\R$.
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $\S 1.4$: Continuity: Definition $1.4.4$
