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mapping cone

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  • Mapping cone — In mathematics, especially homotopy theory, the mapping cone is a construction Cf of topology, analogous to a quotient space. It is also called the homotopy cofiber, and also notated Cf. Contents 1 Definition 1.1 Example of circle …   Wikipedia

  • Mapping cone (homological algebra) — In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain… …   Wikipedia

  • Cone (topology) — Cone of a circle. The original space is in blue, and the collapsed end point is in green. In topology, especially algebraic topology, the cone CX of a topological space X is the quotient space: of the …   Wikipedia

  • Cone — This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article …   Wikipedia

  • Cone (formal languages) — In formal language theory, a cone is a set of formal languages that has some desirable closure properties enjoyed by some well known sets of languages, in particular by the families of regular languages, context free languages and the recursive… …   Wikipedia

  • List of concept- and mind-mapping software — Concept mapping and mind mapping software are used to create diagrams of relationships between concepts, ideas or other pieces of information. It has been suggested that the mind mapping technique can improve learning/study efficiency up to 15%… …   Wikipedia

  • Photon mapping — In computer graphics, photon mapping is a two pass global illumination algorithm developed by Henrik Wann Jensen that solves the rendering equation. Rays from the light source and rays from the camera are traced independently until some… …   Wikipedia

  • Chester Cone — Location of Byers Peninsula, Livingston Island in the South Shetland Islands. Chester Cone is the ice free peak rising to 188 m in the central part of Byers Peninsula, Livingston Island in the South Shetland Islands, Antarctica surmounting Midge… …   Wikipedia

  • Triangulated category — A triangulated category is a mathematical category satisfying some axioms that are based on the properties of the homotopy category of spectra, and the derived category of an abelian category. A t category is a triangulated category with a t… …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Homotopy category of chain complexes — In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between the category of chain… …   Wikipedia

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