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Continuous on a curve?

  1. Oct 28, 2004 #1
    Hey, I have a quick question: Does anyone know what it means for a function [tex]f[/tex] to be continuous on a curve [tex]\gamma[/tex]? Is it the same as saying the pullback [tex]\gamma^*f[/tex] is continuous on the domain of [tex]\gamma[/tex]?
  2. jcsd
  3. Aug 18, 2009 #2


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    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.
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