Results 151 to 160 of about 1,153 (175)
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Embedding Schemes and the Jordan Curve Theorem
1990We survey several combinatorial embedding schemes that encode and generalize the concept of a map, and attempt to unify them. We also show that two combinatorial generalizations of the Jordan curve theorem arising from such schemes are in fact equivalent.
C. H. C. Little, A. Vince
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Connectedness and the Jordan Curve Theorem
2015The notion of polygonal connectedness is introduced. It is shown to be an equivalence relation. Convex sets are shown to be connected. The equivalence of connectedness with the non-existence of discretely valued non-constant continuous functions is shown. An elementary proof of the Jordan Closed-Curve theorem is given.
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Semi-topological Properties of the K-Topological Version of the Jordan Curve Theorem
Results in Mathematics, 2023Sang-Eon Han, Han Sang-Eon
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Strong Szegő Theorem on a Jordan Curve
Operator Theory: Advances and Applications, 2022Kurt Johansson, Johansson Kurt
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On a Converse of the Jordan Curve Theorem
The American Mathematical Monthly, 1974Istvan Fary, Eric M. Isenberg
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Certain Consequences of the Jordan Curve Theorem
American Journal of Mathematics, 1941openaire +2 more sources
The Complexity of Proving the Discrete Jordan Curve Theorem
ACM Transactions on Computational Logic, 2012Stephen Cook
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