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topological partition

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  • Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …   Wikipedia

  • Topological entropy — In mathematics, the topological entropy of a topological dynamical system is a nonnegative real number that measures the complexity of the system. Topological entropy was first introduced in 1965 by Adler, Konheim and McAndrew. Their definition… …   Wikipedia

  • Topological indistinguishability — In topology, two points of a topological space X are topologically indistinguishable if they have exactly the same neighborhoods. That is, if x and y are points in X, and A is the set of all neighborhoods which contain x, and B is the set of all… …   Wikipedia

  • Topological combinatorics — The discipline of combinatorial topology used combinatorial concepts in topology and in the early 20th century this gradually turned into the field of algebraic topology. In 1978 the situation was reversed when methods from algebraic topology… …   Wikipedia

  • Partition topology — In mathematics, the partition topology is a topology that can be induced on any set X by partitioning X into disjoint subsets P; these subsets form the basis for the topology. There are two important examples which have their own names: The… …   Wikipedia

  • Partition of unity — In mathematics, a partition of unity of a topological space X is a set of continuous functions, { ho i} {iin I}, from X to the unit interval [0,1] such that for every point, xin X, * there is a neighbourhood of x where all but a finite number of… …   Wikipedia

  • partition of unity — noun A collection of non negative valued functions defined on a topological space, such that every point has only finitely many nonzero values, and these sum to one …   Wiktionary

  • Finite topological space — In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space for which there are only finitely many points.While topology is mostly interesting only for… …   Wikipedia

  • Markov partition — A Markov partition is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic systems. By using a Markov partition, the system can be made to resemble a discrete time Markov… …   Wikipedia

  • Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

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