I am a little confused about some terminology when we talk about curves and regions (in the context of vectors for example).(adsbygoogle = window.adsbygoogle || []).push({});

Are these correct?

Curve Terminology:

Smooth:A curve C is said to besmoothif it is infinitely differentiable everywhere in its domain.

Continuous:A curve C is said to becontinuousif it is once differentiable everywhere in its domain.

Simple:A curve C is said to besimpleif it does not cross itself.

Region Terminology:

Connected:A region D in R^3 is said to beconnectedif any two points in D can be joined by a smooth curve completely in D.

Simply Connected:A region D in R^3, is said to be besimply connectedif any simple closed curve inside D can be shrunk down to a point inside D.

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# Curve Terminology

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