simple closed curve

…When t ≠ t ′ and ( f ( t ), g ( t )), ( f ( t ′), g ( t ′)) represent the same point, this point is called a multiple point. An arc that has no multiple points is called a simple arc, and an arc that has no multiple points other than the endpoints is called a simple closed curve or Jordan curve. A simple arc is homeotopically to a line segment, and a simple closed curve is homeotopically to a circle. …

*Some of the terminology explanations that mention "simple closed curve" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…t≠t′で(f(t)，g(t))，(f(t′)，g(t′))が同じ点を表すとき，この点を重複点という。重複点をもたない弧を単純弧といい，端点以外には重複点をもたない弧を単一閉曲線simple closed curveまたはジョルダン曲線Jordan curveという。単純弧は線分に，単一閉曲線は円周に同位相である。…

※「simple closed curve」について言及している用語解説の一部を掲載しています。

出典｜株式会社平凡社世界大百科事典 第２版について | 情報