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finite collection

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  • Locally finite collection — In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is fundamental in the study of paracompactness and topological dimension. A collection of subsets of a topological space X… …   Wikipedia

  • Point finite collection — In mathematics, a collection mathcal{U} of subsets of a topological space X is said to be point finite or a point finite collection if every point of X lies in only finitely many members of mathcal{U}. Compare this to the stronger property of… …   Wikipedia

  • Finite-dimensional distribution — In mathematics, finite dimensional distributions are a tool in the study of measures and stochastic processes. A lot of information can be gained by studying the projection of a measure (or process) onto a finite dimensional vector space (or… …   Wikipedia

  • Finite intersection property — In general topology, the finite intersection property is a property of a collection of subsets of a set X . A collection has this property if the intersection over any finite subcollection of the collection is nonempty.DefinitionLet X be a set… …   Wikipedia

  • Finite geometry — A finite geometry is any geometric system that has only a finite number of points. Euclidean geometry, for example, is not finite, because a Euclidean line contains infinitely many points, in fact precisely the same number of points as there are… …   Wikipedia

  • Finite potential barrier (QM) — In quantum mechanics, the finite potential barrier is a standard one dimensional problem that demonstrates the phenomenon of quantum tunnelling. The problem consists of solving the time independent Schrödinger equation for a particle with a… …   Wikipedia

  • finite intersection property — Math. the property of a collection of nonempty sets in which the intersections of all possible finite numbers of the sets each contain at least one element. * * * …   Universalium

  • finite intersection property — Math. the property of a collection of nonempty sets in which the intersections of all possible finite numbers of the sets each contain at least one element …   Useful english dictionary

  • Locally discrete collection — In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwile as Bing s… …   Wikipedia

  • Locally finite — The term locally finite has a number of different meanings in mathematics:*Locally finite collection of sets in a topological space *Locally finite group *Locally finite measure *Locally finite poset …   Wikipedia

  • Classification of finite simple groups — Group theory Group theory …   Wikipedia

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