What Does It Mean for a Function to Be Continuous on a Curve?

[T-O7]

Hey, I have a quick question: Does anyone know what it means for a function f to be continuous on a curve \gamma? Is it the same as saying the pullback \gamma^*f is continuous on the domain of \gamma?

 

[Reb]

Hey, I have a quick question: Does anyone know what it means for a function f to be continuous on a curve \gamma? Is it the same as saying the pullback \gamma^*f is continuous on the domain of \gamma?

It implies that, actually. Off the top of my head, I'd say "continuous on a curve" means
that the function f is the restriction of a function F, continuous on a neighbourhood of the curve.