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(often with a much smaller complex). The C in CW stands for "closure-finite", and the W for "weak" topology. A CW complex is constructed by taking the...

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...

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...

{\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...

that allows the presence of singularities. Complex analytic varieties are locally ringed spaces that are locally isomorphic to local model spaces, where...

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...

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...

infinite or finite. Some two-dimensional mathematical spaces are not used to represent physical positions, like an affine plane or complex plane. The most...

as finite element analysis (FEA). The subdivision of a whole domain into simpler parts has several advantages: Accurate representation of complex geometry...

include the circle group (the multiplicative group of complex numbers of modulus one), the finite abelian groups (with the discrete topology), and the...

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...

\operatorname {Mod} (S)} . It is (in opposition to the curve or pants complex) a locally finite complex which is quasi-isometric to the mapping class group. A marking...

})\end{cases}}} The general features of the representation theory of a finite group G, over the complex numbers, were discovered by Ferdinand Georg Frobenius in the...

is true for finitely generated modules over Noetherian rings: a finitely generated module over a commutative Noetherian ring is locally free if and only...

to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated at degree...

description of the theory of locally finite spaces which are a generalization of abstract cell complexes. A locally finite space S is a set of points where...

+)} by the exponential map. Any finite abelian group, with the discrete topology. By the structure theorem for finite abelian groups, all such groups...

be locally finite if every point of X has a neighborhood that intersects only finitely many sets in the cover. Formally, C = {Uα} is locally finite if...

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...

group, there is a 2-dimensional CW complex whose fundamental group equals it. The automorphism group of a locally finite rooted tree is profinite. Every...