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Cantor limit set

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  • Limit ordinal — A limit ordinal is an ordinal number which is neither zero nor a successor ordinal. Various equivalent ways to express this are: *It cannot be reached via the ordinal successor operation S ; in precise terms, we say lambda; is a limit ordinal if… …   Wikipedia

  • Cantor-Bendixson theorem — noun A theorem which states that a closed set in a Polish space is the disjoint union of a countable set and a perfect set. From the Cantor Bendixson theorem it can be deduced that an uncountable set in must have an uncountable number of limit… …   Wiktionary

  • Controversy over Cantor's theory — In mathematical logic, the theory of infinite sets was first developed by Georg Cantor. Although this work has found wide acceptance in the mathematics community, it has been criticized in several areas by mathematicians and philosophers. Cantor… …   Wikipedia

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  • Julia set — In complex dynamics, the Julia set J(f), [Note that in other areas of mathematics the notation J(f), can also represent the Jacobian matrix of a real valued mapping f, between smooth manifolds.] of a holomorphic function f, informally consists of …   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

  • Zermelo set theory — Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory. It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article… …   Wikipedia

  • List of set theory topics — Logic portal Set theory portal …   Wikipedia

  • Inverse limit — In mathematics, the inverse limit (also called the projective limit) is a construction which allows one to glue together several related objects, the precise manner of the gluing process being specified by morphisms between the objects. Inverse… …   Wikipedia

  • Scott–Potter set theory — An approach to the foundations of mathematics that is of relatively recent origin, Scott–Potter set theory is a collection of nested axiomatic set theories set out by the philosopher Michael Potter, building on earlier work by the mathematician… …   Wikipedia

  • Closed set — This article is about the complement of an open set. For a set closed under an operation, see closure (mathematics). For other uses, see Closed (disambiguation). In geometry, topology, and related branches of mathematics, a closed set is a set… …   Wikipedia

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