Meaning of Jordan curve | Babel Free

Definitions

A non-self-intersecting continuous loop in the plane; a simple closed curve.

Examples

“When μ is small and positive, the locus (1) consists of a Jordan curve near each of the Jordan curves belonging to B.”

“If fis a closed curve that is one-one on [0,1] except for f(0) = f(I), then we say that f is a Jordan curve. A Jordan curve can be seen as a homeomorphism from the circle C onto a subset of the given space.”

“The most general Jordan curves, like the triangle, have the property of dividing the plane into two regions.”

CEFR level