Geometric topology (disambiguation) — In mathematics, the phrase geometric topology can refer to several things:* The area of study generally referred to as geometric topology * A topology, the geometric topology, that one can put on the set of hyperbolic 3 manifolds of finite volume … Wikipedia
Geometric topology (object) — In mathematics, the geometric topology is a topology one can put on the set H of hyperbolic 3 manifolds of finite volume. Convergence in this topology is a crucial ingredient of hyperbolic Dehn surgery, a fundamental tool in the theory of… … Wikipedia
List of geometric topology topics — This is a list of geometric topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of algebraic topology topics Publications in topology Contents 1 Low dimensional topology 1.1 … 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
geometric topologist — noun A mathematician who specializes in geometric topology … Wiktionary
Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… … Wikipedia
Geometric analysis — is a mathematical discipline at the interface of differential geometry and differential equations. It refers both to the use of geometrical methods in the study of partial differential equations (when it is also known as geometric PDE ), and the… … Wikipedia
topology — [tō päl′ə jē, təpäl′ə jē] n. pl. topologies [< Gr topos, a place (see TOPIC) + LOGY] 1. a topographical study of a specific object, entity, place, etc. [the topology of the mind] 2. Math. the study of those properties of geometric figures that … English World dictionary
topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c … Universalium
Geometric invariant theory — In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper… … Wikipedia
