Meanings
plural Jordan curves
- mathematicsA non-self-intersecting continuous loop in the plane; a simple closed curve.
The most general Jordan curves, like the triangle, have the property of dividing the plane into two regions.
2001, Constantin Carathéodory, Theory of Functions of a Complex Variable, volume 1, page 1002 more examples
When μ is small and positive, the locus (1) consists of a Jordan curve near each of the Jordan curves belonging to B.
1950, Joseph Leonard Walsh, The Location of Critical Points of Analytic and Harmonic Functions, American Mathematical Society, page 242If 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.
1992, Konrad Jacobs, Invitation to Mathematics, page 164Synonyms: simple closed curve
Synonyms & antonyms
nounA non-self-intersecting continuous loop in the plane; a simple closed curve.
More synonyms by meaning
Synonym sets from Open English WordNet, CC BY 4.0.
Origin
Named after French mathematician Camille Jordan (1838-1922), who first proved the Jordan curve theorem.
Full word history & related roots →Cite this entry
Jordan curve. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Jordan%20curve
“Jordan curve.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Jordan%20curve. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “Jordan curve,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Jordan%20curve.
Source: Jordan curve on Wiktionary, CC BY-SA 4.0.