Locally finite information

space Locally finite group Locally finite measure Locally finite operator in linear algebra Locally finite poset Locally finite space, a topological space...

{\displaystyle X} is said to be locally finite if each point in the space has a neighbourhood that intersects only finitely many of the sets in the collection...

In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure. Let ( X , T ) {\displaystyle...

a locally finite space is a topological space in which every point has a finite neighborhood, that is, an open neighborhood consisting of finitely many...

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...

topological space in which every open cover has an open refinement that is locally finite. These spaces were introduced by Dieudonné (1944). Every compact space...

{\displaystyle f:V\to V} is called locally finite if the space V {\displaystyle V} is the union of a family of finite-dimensional f {\displaystyle f} -invariant...

locally finite poset is a partially ordered set P such that for all x, y ∈ P, the interval [x, y] consists of finitely many elements. Given a locally...

Hausdorff and has a σ-locally finite base. A σ-locally finite base is a base which is a union of countably many locally finite collections of open sets...

\{y\in L~|~y\leq x\}\,\!} is finite for any 1 ≠ x ∈ L {\displaystyle 1\neq x\in L} . The lattice (N, |) is locally finite. In this lattice, the element...

variety locally finite if every finitely generated algebra has finite cardinality, or equivalently, if every finitely generated free algebra has finite cardinality...

with only finitely many of the subsets. See also countably locally finite, point finite. Locally metrizable/Locally metrisable A space is locally metrizable...

called locally finite if every point of X has a neighborhood U for which m(U) is finite. If m is locally finite, then it follows that m is finite on compact...

integers Z. A locally cyclic group is a group in which every finitely generated subgroup is cyclic. The free group on a finite set is finitely generated by...

{\displaystyle G} is called locally finite if every finitely generated subgroup is finite. This is equivalent, in fact, to being 'ind-finite'. By applying Pontryagin...

mathematics, a category algebra is an associative algebra, defined for any locally finite category and commutative ring with unity. Category algebras generalize...

called locally finite if each point in the space has a neighborhood that intersects only finitely many members of the family. A σ-locally finite or countably...

every finite-dimensional vector space over the reals or a p-adic field. The Pontryagin dual of a locally compact abelian group is the locally compact...

of a locally compact group is locally compact. The product of a family of locally compact groups is locally compact if and only if all but a finite number...

are quasi-finite, and morphisms of finite type are usually not quasi-finite. finite type (locally) The morphism f : Y → X is locally of finite type if X...

The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

there is no need to take finite intersections of such sets. The following theorem implies that if X {\displaystyle X} is a locally convex space then the...

with finite index (i.e., the set G / G ′ {\displaystyle G/G'} is finite), then the inclusion induces a quasi-isometry on the vertices of any locally finite...

elements of P. A poset is called locally finite if every bounded interval is finite. For example, the integers are locally finite under their natural ordering...

regular, and locally finite, it is called a Radon measure. The real line R {\displaystyle \mathbb {R} } with its usual topology is a locally compact Hausdorff...