Word.ws English Dictionary

Jordan curve theorem

Jordan curve theorem noun: the theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.

Noun

Jordan curve theorem

  1. The theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.
    • There is a vast generalization of the Jordan curve theorem to higher dimensions.1995, William Fulton, Algebraic Topology: A First Course, Springer, page 343
    • The Jordan curve theorem asserts that a simple closed curve in the complex plane divides the plane into exactly two connected components, one bounded (the "inside") and the other unbounded (the "outside" ).2001, Theodore Gamelin, Complex Analysis, Springer, page 249
  2. Used other than figuratively or idiomatically: see Jordan curve, theorem.
    • Some known Jordan curves in the basic topology are used to prove Jordan curve theorems that identify Jordan curves among simple closed ones in each of the four quotient pretopologies.2009, Josef Šlapal, Jordan Curve Theorems with Respect to Certain Pretopologies on ℤ², Srecko Brlek, Christophe Reutenauer, Xavier Provençal (editors), Discrete Geometry for Computer Imagery: 15th...

Jordan curve theorem meaning in Tamil

Jordan curve theorem in Tamil

ஜோர்டான் வரைத்தேற்றம்

Questions about Jordan curve theorem

What does Jordan curve theorem mean?
Jordan curve theorem means the theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.
What is Jordan curve theorem in Tamil?
Jordan curve theorem in Tamil is ஜோர்டான் வரைத்தேற்றம். See Jordan curve theorem meaning in Tamil.
What part of speech is Jordan curve theorem?
Jordan curve theorem is a noun.

Words near Jordan curve theorem in the dictionary

  1. Jordan almond
  2. Jordan almonds
  3. Jordan block
  4. Jordan blocks
  5. Jordan curve
  6. Jordan curve theorem
  7. Jordan curves
  8. Jordan matrices
  9. Jordan matrix
  10. Jordan matrixes
  11. Jordan network

Source and license

Adapted from Wiktionary: Jordan curve theorem (page history and authors); jordan curve theorem (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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