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aspherical space

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  • Aspherical space — In topology, an aspherical space is a topological space with all higher homotopy groups equal to {0}. If one works with CW complexes, one can reformulate this condition: an aspherical CW complex is a CW complex whose universal cover is… …   Wikipedia

  • Aspherical — may refer to:* Aspherical space, a concept in topology * Aspherical lens, a type of lens assembly used in photography which contains an aspheric lens …   Wikipedia

  • Space form — In mathematics, a space form is a complete Riemannian manifold M of constant sectional curvature K . Reduction to generalized crystallographyIt is a theorem of Riemannian geometry that the universal cover of an n dimensional space form M^n with… …   Wikipedia

  • Acyclic space — In mathematics, an acyclic space is a topological space X in which cycles are always boundaries, in the sense of homology theory. This implies that the integral homology groups in all dimensions of X are isomorphic to the corresponding homology… …   Wikipedia

  • Seifert fiber space — A Seifert fiber space is a 3 manifold together with a nice decomposition as a disjoint union of circles. In other words it is a S^1 bundle (circle bundle) over a 2 dimensional orbifold. Most small 3 manifolds are Seifert fiber spaces, and they… …   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

  • Homotopy group — In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The base point preserving maps from an n dimensional sphere (with base point) into a given space (with base point) are collected into equivalence… …   Wikipedia

  • Фундаментальная группа — Фундаментальная группа  определённая группа, которая сопоставляется топологическому пространству. Грубо говоря, эта группа измеряет количество «дырок» в пространстве. Наличие «дырки» определяется невозможностью непрерывно продеформировать… …   Википедия

  • Cirrus cloud — A sky filled with many types of cirrus clouds Cirrus clouds (cloud classification symbol: Ci) are atmospheric clouds generally characterized by thin, wispy strands, giving them their name from the Latin word cirrus meaning a ringlet or curling… …   Wikipedia

  • History of the single-lens reflex camera — The history of the single lens reflex camera predates the invention of photography in 1826/27 by one and a half centuries with the use of a reflex mirror in a camera obscura first described in 1676. Such SLR devices were popular as drawing aids… …   Wikipedia

  • Small cancellation theory — In the mathematical subject of group theory, small cancellation theory studies groups given by group presentations satisfying small cancellation conditions, that is where defining relations have small overlaps with each other. It turns out that… …   Wikipedia

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