inverse 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

• 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 — 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 — 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

• Diffeomorphism — In mathematics, a diffeomorphism is an isomorphism in the category of smooth manifolds. It is an invertible function that maps one differentiable manifold to another, such that both the function and its inverse are smooth. The image of a… …   Wikipedia

• Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

• Perfect map — In mathematics, particularly topology, a perfect map is a map which preserves inverse like properties. Just as the continuous image of a connected space is always connected, if the perfect image (image under a perfect map) of a certain space X is …   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