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Meaning of Jordan curve theorem

Jor'dan curve' the"orem

Pronunciation: [key]
— Math. Math.
  1. the theorem that the complement of a simple closed curve can be expressed as the union of two disjoint sets, each having as boundary the given curve. Cf. simple closed curve.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.