- 459

- 5

Are these correct?

__Curve Terminology:__

**Smooth:**A curve C is said to be

**smooth**if it is infinitely differentiable everywhere in its domain.

**Continuous:**A curve C is said to be

**continuous**if it is once differentiable everywhere in its domain.

**Simple:**A curve C is said to be

**simple**if it does not cross itself.

__Region Terminology:__

**Connected:**A region D in R^3 is said to be

**connected**if 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 be

**simply connected**if any simple closed curve inside D can be shrunk down to a point inside D.