continuous homeomorphism

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• Homeomorphism — Topological equivalence redirects here; see also topological equivalence (dynamical systems). donut illustrating that they are homeomorphic. But there does not need to be a continuous deformation for two spaces to be homeomorphic.In the… …   Wikipedia

• homeomorphism — homeomorphic, homeomorphous, adj. /hoh mee euh mawr fiz euhm/, n. 1. similarity in crystalline form but not necessarily in chemical composition. 2. Math. a function between two topological spaces that is continuous, one to one, and onto, and the… …   Universalium

• Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Continuous function (topology) — In topology and related areas of mathematics a continuous function is a morphism between topological spaces. Intuitively, this is a function f where a set of points near f(x) always contain the image of a set of points near x . For a general… …   Wikipedia

• homeomorphism — noun a) a continuous bijection from one topological space to another, with continuous inverse. b) a similarity in the crystal structure of unrelated compounds …   Wiktionary

• homeomorphism — ho•me•o•mor•phism [[t]ˌhoʊ mi əˈmɔr fɪz əm[/t]] n. math. a mathematical function between two topological spaces that is continuous, one to one, and onto, and the inverse of which is continuous • Etymology: 1850–55 ho me•o•mor′phic, ho… …   From formal English to slang

• homeomorphism — noun Etymology: International Scientific Vocabulary Date: 1854 a function that is a one to one mapping between sets such that both the function and its inverse are continuous and that in topology exists for geometric figures which can be… …   New Collegiate Dictionary

• homeomorphism — ˌfizəm noun ( s) Etymology: International Scientific Vocabulary homeomorphous + ism 1. : a near similarity of crystalline forms between unlike chemical compounds compare heteromorphism 2 2 …   Useful english dictionary

• Local homeomorphism — In topology, a local homeomorphism is a map from one topological space to another that respects locally the topological structure of the two spaces. More precisely, a continuous map f : X rarr; Y is a local homeomorphism if for every point x of X …   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

• Topology — (Greek topos , place, and logos , study ) is the branch of mathematics that studies the properties of a space that are preserved under continuous deformations. Topology grew out of geometry, but unlike geometry, topology is not concerned with… …   Wikipedia