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absolute homotopy group

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  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Reduction of the structure group — In mathematics, in particular the theory of principal bundles, one can ask if a G bundle comes from a subgroup H < G. This is called reduction of the structure group (to H), and makes sense for any map H o G, which need not be an inclusion… …   Wikipedia

  • Hurewicz theorem — In mathematics, the Hurewicz theorem is a basic result of algebraic topology, connecting homotopy theory with homology theory via a map known as the Hurewicz homomorphism. The theorem is named after Witold Hurewicz, and generalizes earlier… …   Wikipedia

  • n-connected — This article is about the concept in algebraic topology. For the concept in graph theory, see Connectivity (graph theory). In the mathematical branch of algebraic topology, specifically homotopy theory, n connectedness is a way to say that a… …   Wikipedia

  • Motive (algebraic geometry) — For other uses, see Motive (disambiguation). In algebraic geometry, a motive (or sometimes motif, following French usage) denotes some essential part of an algebraic variety . To date, pure motives have been defined, while conjectural mixed… …   Wikipedia

  • List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

  • Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

  • Order-disorder — In quantum field theory and statistical mechanics in the thermodynamic limit, a system with a global symmetry can have more than one phase. For parameters where the symmetry is spontaneously broken, the system is said to be ordered. When the… …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Deformation retract — Retract redirects here. For other meanings including concepts in group theory and category theory, see Retraction (disambiguation). In topology, a branch of mathematics, a retraction [1], as the name suggests, retracts an entire space into a… …   Wikipedia

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