simple closed curve

noun

, Mathematics.

1. a curve that is closed and that has no loops or points missing; a curve for which there exists a homeomorphism mapping it to a circle.

Word History and Origins

Origin of simple closed curve¹

First recorded in 1965–70

Example Sentences

In their paper Lindsey and Thurston prove that for any simple closed curve in the complex plane—no matter how complicated—there is a polynomial whose Julia set is arbitrarily close to the outline of the curve.

From Scientific American