About: Schoenflies problem

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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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rdf:type	yago:WikicatMathematicalProblems yago:WikicatMathematicalTheorems yago:WikicatTheoremsInTopology yago:Abstraction100002137 yago:Attribute100024264 yago:Communication100033020 yago:Condition113920835 yago:Difficulty114408086 yago:Message106598915 yago:Problem114410605 yago:Proposition106750804 yago:State100024720 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Teorema de Jordan–Schönflies (ca) Satz von Schoenflies (de) Teorema de Jordan-Schönflies (es) Stelling van Schoenflies (nl) Schoenflies problem (en)
rdfs:comment	El teorema de Jordan-Schönflies és un resultat en l'àmbit de la topologia. Rep el seu nom dels matemàtics Camille Jordan, qui l'enuncià, i Arthur Moritz Schönflies, qui el demostrà l'any 1908. És una generalització del teorema de la corba de Jordan. (ca) Der im Jahre 1908 von Arthur Schoenflies bewiesene Satz von Schoenflies bildet ein wesentliches Bindeglied zwischen der Topologie und dem kombinatorischen Problem des Kartenfärbens (Vier-Farben-Satz). Anschaulich besagt er: Malt man eine geschlossene Kurve (ohne Überkreuzungen) auf ein Gummituch, dann kann man das Tuch so verziehen, dass aus der Kurve ein Kreis wird. (de) En topología geométrica, el teorema de Jordan–Schönflies, o simplemente el teorema de Schönflies es una generalización del teorema de la curva de Jordan. (es) 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. (en) De stelling van Schoenflies, genoemd naar Arthur Schoenflies, is een stelling uit de meetkundige topologie die een verscherping is van de stelling van Jordan. Ze wordt daarom ook wel de stelling van Jordan-Schoenflies genoemd. De stelling van Jordan, een fundamentele stelling uit de topologie, stelt dat elke zichzelf niet snijdende continue lus in het vlak - een gesloten Jordan-kromme - het vlak verdeelt in twee gebieden, een "binnengebied" begrensd door de curve en een onbegrensd "buitengebied". De oorspronkelijke formulering van zijn stelling luidt: (nl)
foaf:depiction
dcterms:subject	Mathematical problems Diffeomorphisms Theorems in topology Homeomorphisms Differential topology Geometric topology
Wikipage page ID	25148935 (xsd:integer)
Wikipage revision ID	1076457584 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Camille Jordan Princeton University Press Bergman kernel Mathematical problems Annals of Mathematics Diffeomorphisms Homeomorphic Jordan curve theorem Integral curve Theorems in topology Mathematics Geometric topology Rocky Mountain Journal of Mathematics Circle Homeomorphisms Bounded set Mathematische Annalen Partition of unity Plane (geometry) Proceedings of the American Mathematical Society Mazur manifold Tubular neighbourhood H-cobordism American Mathematical Monthly American Mathematical Society Differential topology Brickwork Carathéodory's theorem (conformal mapping) Diffeomorphism Differential topology Dirichlet boundary condition Tessellation Geometric topology Attractor Counterexample Riemann sphere Arthur Moritz Schoenflies Homotopy Winding number Bulletin of the AMS Plane (mathematics) Sphere Veblen Prize Uniformly continuous Riemann mapping theorem Cauchy integral formula Conformal mapping Hexagonal tessellation Alexander's horned sphere Alexander trick Simple closed curve Locally flat
Link from a Wikipage to an external page	https://zenodo.org/record/1428262
sameAs	Schoenflies problem Schoenflies problem Schoenflies problem Schoenflies problem Schoenflies problem Schoenflies problem Schoenflies problem Schoenflies problem Schoenflies problem
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