Jordan curve theorem
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English
Noun
- Template:Lb The theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.
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- 2009, Josef Šlapal, Jordan Curve Theorems with Respect to Certain Pretopologies on , Srecko Brlek, Christophe Reutenauer, Xavier Provençal (editors), Discrete Geometry for Computer Imagery: 15th IAPR International Conference, Springer, LNCS 5810, page 252,
- 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 , Srecko Brlek, Christophe Reutenauer, Xavier Provençal (editors), Discrete Geometry for Computer Imagery: 15th IAPR International Conference, Springer, LNCS 5810, page 252,