From the Cantor-Bendixson theorem it can be deduced that an uncountable set in must have an uncountable number of limit points.
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Bendixson — Ivar Otto Bendixson (* 1. August 1861 in Stockholm; 29. November 1935 ebenda) war ein schwedischer Mathematiker. Bendixson ging in Stockholm zur Schule und studierte ab 1878 an der Königlich Technischen Hochschule Stockholm und ab 1879 an der… … Deutsch Wikipedia
Ivar Bendixson — Ivar Otto Bendixson (* 1. August 1861 in Stockholm; † 29. November 1935 ebenda) war ein schwedischer Mathematiker. Bendixson ging in Stockholm zur Schule und studierte ab 1878 an der Königlich Technischen Hochschule Stockholm und ab 1879 an der… … Deutsch Wikipedia
Ivar Bendixson — Ivar Otto Bendixson (1er août 1861 29 novembre 1935) est un mathématicien suédois. Il a travaillé sur les infinis de Cantor, et est connu pour le théorème de Poincaré Bendixson, le théorème de Cantor Bendixson (en) et le… … Wikipédia en Français
Ivar Otto Bendixson — (August 1, 1861 1935) was a Swedish mathematician. Biography Bendixson was born August 1, 1861 in Bergshyddan, Djurgardsbrunn, Sweden to a middle class family. His father Vilhelm Emanuel Bendixson was a merchant, and his mother was Tony Amelia… … Wikipedia
Derived set (mathematics) — In mathematics, more specifically in point set topology, the derived set of a subset S of a topological space is the set of all limit points of S. It is usually denoted by S′. The concept was first introduced by Georg Cantor in 1872 and he… … Wikipedia
Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… … Wikipedia
Polish space — In mathematics, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively… … Wikipedia
Perfect set property — In descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset.As nonempty perfect sets in a Polish space always have the cardinality of the continuum, a set with the… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
Liste mathematischer Sätze — Inhaltsverzeichnis A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A Satz von Abel Ruffini: eine allgemeine Polynomgleichung vom … Deutsch Wikipedia
