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Schoenflies problem

In mathematics, the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies. For Jordan curves in the plane it is often referred to as the Jordan–Schoenflies theorem.

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Overview

Original formulation

Proofs of the Jordan–Schoenflies theorem

Generalizations

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Map overview Semantic statistics

Schoenflies problem

Nodes48
Edges47
Triples38
Avg. degree1.96
Density0.041667
Components1

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Schoenflies problem

Top relations

related to Generalizations · 14
Schoenflies problem → BarryMazur, Both, Brown, For, It, Mazur, Morse, MortonBrown, Schoenflies, See Mazur, Sn, The Schoenflies, There, Veblen Prize
related to Smooth curve · 13
Schoenflies problem → Alexander, Bergman, By, Composing, Dirichlet, On, Proofs, Regarding, Riemann, Schoenflies, Such, The, This
related to Original formulation · 10
Schoenflies problem → An, Cairns, Carathéodory's, Elementary, Moise, Newman, Pommerenke, Schoenflies, The, Thomassen

Important terminology Word statistics

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Important terminology

curve jordan theorem homeomorphism circle smooth interior polygonal plane triangle diffeomorphism unit two curves points onto one schoenflies small boundary

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Alexander's horned sphereinstance ofIn three dimensions there are counterexamples0.80text
Schoenflies problemrelated to GeneralizationsThere0.60section
Schoenflies problemrelated to GeneralizationsMortonBrown0.60section
Schoenflies problemrelated to GeneralizationsBarryMazur0.60section
Schoenflies problemrelated to GeneralizationsMorse0.60section
Schoenflies problemrelated to GeneralizationsSchoenflies0.60section
Schoenflies problemrelated to GeneralizationsIt0.60section
Schoenflies problemrelated to GeneralizationsSn0.60section
Schoenflies problemrelated to GeneralizationsBrown0.60section
Schoenflies problemrelated to GeneralizationsMazur0.60section
Schoenflies problemrelated to GeneralizationsVeblen Prize0.60section
Schoenflies problemrelated to GeneralizationsBoth0.60section

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    Min side: 3
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