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topological covering

См. также в других словарях:

  • Covering group — This article is about topological covering group. For algebraic covering group, see universal perfect central extension. In mathematics, a covering group of a topological group H is a covering space G of H such that G is a topological group and… …   Wikipedia

  • Covering — may refer to: Mathematics In topology: Covering map, a function from one space to another with uniform local neighborhoods Cover (topology), a system of (usually, open or closed) sets whose union is a given topological space Lebesgue covering… …   Wikipedia

  • Covering space — A covering map satisfies the local triviality condition. Intuitively, such maps locally project a stack of pancakes above an open region, U, onto U. In mathematics, more specifically algebraic topology, a covering map is a continuous surjective… …   Wikipedia

  • Topological game — A topological game is an infinite positional game of perfect information played between two players on a topological space. Players choose objects with topological properties such as points, open sets, closed sets and open coverings. Time is… …   Wikipedia

  • Covering graph — In the mathematical discipline of graph theory, a graph C is a covering graph of another graph G if there is a covering map from the vertex set of C to the vertex set of G. A covering map f is a surjection and a local isomorphism: the… …   Wikipedia

  • covering space — noun a) A map from a topological space onto another by local homeomorphisms of disjoint preimages. b) The space so mapped …   Wiktionary

  • Lebesgue covering dimension — or topological dimension is one of several inequivalent notions of assigning a topological invariant dimension to a given topological space. Contents 1 Definition 2 Examples 3 Properties 4 …   Wikipedia

  • Category of topological spaces — In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps. This is a category because the composition of two continuous maps is again… …   Wikipedia

  • Branched covering — In mathematics, branched covering is a term mainly used in algebraic geometry, to describe morphisms f from an algebraic variety V to another one W , the two dimensions being the same, and the typical fibre of f being of dimension 0.In that case …   Wikipedia

  • Nerve of a covering — In mathematics, the nerve of an open covering is a construction in topology, of an abstract simplicial complex from an open covering of a topological space X. The notion of nerve was introduced by Pavel Alexandrov.[1] Given an index set I, and… …   Wikipedia

  • Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a …   Wikipedia

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