Cocompact group action

In mathematics, an action of a group G on a topological space X is cocompact if the quotient space X/G is a compact space or, equivalently, if there is a compact subset "K" of "X" such that the image of "K" under the action of "G" covers "X".

This algebra-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Group actions Algebra stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем написать реферат Two Years Before the Mast (film) Manduca empusa Look at other dictionaries: Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia Geometric group action — In mathematics, specifically geometric group theory, a geometric group action is a certain type of action of a discrete group on a metric space.DefinitionIn geometric group theory, a geometry is any proper, geodesic metric space. An action of a… …   Wikipedia Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… …   Wikipedia Discrete group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   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 James W. Cannon — (b. January 30, 1943) is an American mathematician working in the areas of low dimensional topology and geometric group theory. He is an Orson Pratt Professor of Mathematics at the Brigham Young University.Biographical dataJames W. Cannon was… …   Wikipedia Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …   Wikipedia Baum–Connes conjecture — In mathematics, specifically in operator K theory, the Baum ndash;Connes conjecture suggests a link between the C* algebra of a group and the K homology of the corresponding classifying space of proper actions of that group.It thus sets up a… …   Wikipedia Nilmanifold — In mathematics, a nilmanifold is a differentiable manifold which has a transitive nilpotent group of diffeomorphisms acting on it. As such, a nilmanifold is an example of a homogeneous space and is diffeomorphic to the quotient space N / H, the… …   Wikipedia 18+ © Academic, 2000-2025 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”