classifying mapping

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• Classifying space — In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G. It… …   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

• Line bundle — In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space. For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising… …   Wikipedia

• Nerve (category theory) — In category theory, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C …   Wikipedia

• geology — /jee ol euh jee/, n., pl. geologies. 1. the science that deals with the dynamics and physical history of the earth, the rocks of which it is composed, and the physical, chemical, and biological changes that the earth has undergone or is… …   Universalium

• Race (classification of human beings) — The term race or racial group usually refers to the concept of categorizing humans into populations or groups on the basis of various sets of characteristics. [http://www.physanth.org/positions/race.html AAPA Statement on Biological Aspects of… …   Wikipedia

• Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… …   Wikipedia

• List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

• race — race1 /rays/, n., v., raced, racing. n. 1. a contest of speed, as in running, riding, driving, or sailing. 2. races, a series of races, usually of horses or dogs, run at a set time over a regular course: They spent a day at the races. 3. any… …   Universalium

• geography — /jee og reuh fee/, n., pl. geographies. 1. the science dealing with the areal differentiation of the earth s surface, as shown in the character, arrangement, and interrelations over the world of such elements as climate, elevation, soil,… …   Universalium

• Inglewood, California — Inglewood   City   Seal …   Wikipedia