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connected points

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  • Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …   Wikipedia

  • Connected space/Proofs — Every path connected space is connectedLet S be path connected and suppose, for contradiction, that S is not connected. Then S = A cup B for nonempty disjoint open sets A and B . Let x in A, y in B. Since S is path connected, there exists a… …   Wikipedia

  • Connected sum — In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the… …   Wikipedia

  • connected — adjective Date: 1712 1. joined or linked together 2. having the parts or elements logically linked together < presented a thoroughly connected view of the problem > 3. related by blood or marriage 4. having social, professional, or …   New Collegiate Dictionary

  • Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… …   Wikipedia

  • Simply connected space — In topology, a topological space is called simply connected (or 1 connected) if it is path connected and every path between two points can be continuously transformed, staying within the space, into any other path while preserving the two… …   Wikipedia

  • n-connected — This article is about the concept in algebraic topology. For the concept in graph theory, see Connectivity (graph theory). In the mathematical branch of algebraic topology, specifically homotopy theory, n connectedness is a way to say that a… …   Wikipedia

  • N-connected space — n connected redirects here; for the concept in graph theory see Connectivity (graph theory). In the mathematical branch of topology, a topological space X is said to be n connected if and only if it is path connected and its first n homotopy… …   Wikipedia

  • Code of Points (artistic gymnastics) — A Code of Points is a rulebook that defines the scoring system for each level of competition in gymnastics. There is no unified, international code of points; every oversight organization such as FIG (Federation Internationale de Gymnastique),… …   Wikipedia

  • Periodic points of complex quadratic mappings — This article describes periodic points of some complex quadratic map. This theory is applied in relation with the theories of Fatou and Julia sets.DefinitionsLet :f c(z)=z^2+c, where z and c are complex valued. (This f is the complex quadratic… …   Wikipedia

  • Extreme points of Turkey — The extreme points of Turkey are:*Northernmost: Tavşan Island situated 1 km from İnceburun(Cape İnce), by Sinop(42 5 53 N, 34 56 33 E) *Southernmost: The spring of Kale Stream, Yayladağı, Hatay Province(35 48 46 N, 36 9 8 E) *Westernmost: Cape… …   Wikipedia

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