- Locally finite
The term locally finite has a number of different meanings in mathematics:
*
Locally finite collection of sets in a topological space
*Locally finite group
*Locally finite measure
*Locally finite poset
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Locally finite
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Locally finite group — In mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group. Sylow subgroups, Carter subgroups, and abelian subgroups of locally finite groups have been… … Wikipedia
Locally finite collection — In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is fundamental in the study of paracompactness and topological dimension. A collection of subsets of a topological space X… … Wikipedia
Locally finite measure — In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure.DefinitionLet ( X , T ) be a Hausdorff topological space and let Sigma; be a sigma; algebra on X that contains… … Wikipedia
Locally finite poset — A locally finite poset P is a poset such that for all x,y in P, the interval [x,y] consists of finitely many elements … Wikipedia
locally finite set — Math. a collection of sets in a topological space in which each point of the space has a neighborhood that intersects a finite number of sets of the collection. * * * … Universalium
locally finite set — Math. a collection of sets in a topological space in which each point of the space has a neighborhood that intersects a finite number of sets of the collection … Useful english dictionary
Locally discrete collection — In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwile as Bing s… … Wikipedia
Finite element method in structural mechanics — Finite element method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems. In the FEM, the structural system is modeled by… … Wikipedia
Locally convex topological vector space — In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalize normed spaces. They can be defined as topological vector… … Wikipedia
Locally compact group — In mathematics, a locally compact group is a topological group G which is locally compact as a topological space. Locally compact groups are important because they have a natural measure called the Haar measure. This allows one to define… … Wikipedia
