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  • Closed monoidal category — In mathematics, especially in category theory, a closed monoidal category is a context where we can take tensor products of objects and also form mapping objects . A classic example is the category of sets, Set, where the tensor product of sets A …   Wikipedia

  • Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …   Wikipedia

  • Closed graph theorem — In mathematics, the closed graph theorem is a basic result in functional analysis which characterizes continuous linear operators between Banach spaces in terms of the operator graph. Contents 1 The closed graph theorem 2 Generalization 3 See… …   Wikipedia

  • Mapping torus — In mathematics, the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f. Take the cartesian product of X with a closed interval I, and glue the boundary components… …   Wikipedia

  • Mapping cylinder — In mathematics, specifically algebraic topology, the mapping cylinder of a function f between topological spaces X and Y is the quotient where the union is disjoint, and ∼ is the equivalence relation That is, the mapping cylinder Mf …   Wikipedia

  • Mapping of Unicode characters — Unicode’s Universal Character Set has a potential capacity to support over 1 million characters. Each UCS character is mapped to a code point which is an integer between 0 and 1,114,111 used to represent each character within the internal logic… …   Wikipedia

  • Open and closed maps — In topology, an open map is a function between two topological spaces which maps open sets to open sets.[1] That is, a function f : X → Y is open if for any open set U in X, the image f(U) is open in Y. Likewise, a closed map is a function… …   Wikipedia

  • Open mapping theorem (functional analysis) — In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is… …   Wikipedia

  • Continuous mapping theorem — In probability theory, the continuous mapping theorem states that continuous functions are limit preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps… …   Wikipedia

  • Degree of a continuous mapping — This article is about the term degree as used in algebraic topology. For other uses, see degree (mathematics). A degree two map of a sphere onto itself. In topology, the degree is a numerical invariant that describes a continuous mapping between… …   Wikipedia

  • Normal mapping — used to re detail simplified meshes. In 3D computer graphics, normal mapping, or Dot3 bump mapping , is a technique used for faking the lighting of bumps and dents. It is used to add details without using more polygons. A common use of this… …   Wikipedia

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