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intersection property

См. также в других словарях:

  • 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 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

  • Intersection homology — In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well suited for the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in the fall of 1974 and developed by them… …   Wikipedia

  • Intersection number (graph theory) — In the mathematical field of graph theory, the intersection number of a graph is the smallest number of elements in a representation of G as an intersection graph of finite sets. Equivalently, it is the smallest number of cliques needed to cover… …   Wikipedia

  • Intersection theorem — In projective geometry, an intersection theorem or incidence theorem is an incidence structure consisting of points, lines, and possibly higher dimensional objects and their incidences, together with a pair of nonincident objects A and B (for… …   Wikipedia

  • Matroid intersection — In combinatorial optimization, the matroid intersection problem is to find a largest common independent set in two matroids over the same ground set. If the elements of the matroid are assigned real weights, the weighted matroid intersection… …   Wikipedia

  • Generic property — In mathematics, properties that hold for typical examples are called generic properties. For instance, a generic property of a class of functions is one that is true of almost all of those functions, as in the statements, A generic polynomial… …   Wikipedia

  • Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… …   Wikipedia

  • Distributive property — In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalizes the distributive law from elementary algebra. For example: 2 × (1 + 3) = (2 × 1) + (2 × 3). In the left hand side of the… …   Wikipedia

  • Topological property — In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space …   Wikipedia

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