Examples of 'locally finite' in a sentence
Meaning of "locally finite"
locally finite - refers to a mathematical concept where a collection of objects is limited within a specific region or locality. It means that the objects are bounded and do not extend infinitely
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- For which every vertex has finite degree.
How to use "locally finite" in a sentence
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locally finite
We showed that if and only if is locally finite.
Locally finite complete lattices.
No infinite collection of a compact space can be locally finite.
Locally finite rooted tree.
A finite collection of subsets of a topological space is locally finite.
If every open cover admits a locally finite open refinement.
Locally finite poset.
A space is paracompact if every open cover has an open locally finite refinement.
Locally finite graphs.
A group such that every finitely generated subgroup is finite is called locally finite.
Locally finite measure.
A topological space in which every open cover admits a locally finite open refinement is called paracompact.
Every locally finite collection of subsets of a topological space is also point finite.
Paracompact topological spaces are spaces for which every open cover contains a locally finite open refinement.
Incidence algebras of locally finite partially ordered sets are associative algebras considered in combinatorics.
See also
Lebesgue measure on Euclidean space is locally finite.
A locally finite group is a group for which every finitely generated subgroup is finite.
In our setting the considered objects are sets whose Hausdorff area is locally finite.
The class of locally finite groups behaves somewhat similarly to the class of finite groups.
Hence, γ is strictly positive and locally finite.
Note that the term locally finite has different meanings in other mathematical fields.
Since δx is probability measure, it is also a locally finite measure.
Any Weil divisor is a locally finite linear combination of irreducible subvarieties of codimension one.
Conversely, every periodic abelian group is locally finite.
A locally finite space is Alexandrov.
In particular, no uncountable cover of a second-countable space is locally finite.
Given a locally finite poset P we can define its incidence algebra.
Every linear operator on a finite-dimensional space is trivially locally finite.
Every locally finite CW complex is an ANR.
More generally, the intensity measures is a realization of a non-negative locally finite random measure.
For example, a poset is locally finite if every closed interval in it is finite.
By definition, any Radon measure is locally finite.
That is, it is a locally finite simplicial complex that covers the entire space.
Wu also extended the classification of Suzuki et al . to locally finite groups.
However, if we consider a locally finite collection of closed sets, the union is closed.
Sylow subgroups, Carter subgroups, and abelian subgroups of locally finite groups have been studied.
Therefore, a locally finite space satisfying the new axioms is a particular case of a classical topological space.
Suppose that we seek a translation-invariant, strictly positive, locally finite measure on the real line.
Lebesgue measure is both locally finite and inner regular, and so it is a Radon measure.
Since μ ( X ) 0, μ is always a finite measure, and hence a locally finite measure.
For example, the integers are locally finite under their natural ordering.
Every locally finite collection of subsets of a topological space X is also point-finite.
The complex of curves is never locally finite i.e. every vertex has infinitely many neighbors.
Every locally finite group is periodic, i.e., every element has finite order.
A T1 space is locally finite if and only if it is discrete.
In combinatorics, every locally finite partially ordered set ( poset ) is assigned an incidence algebra.
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Examples of using Finite
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The fixed and finite nature of land
All finite fields of a given order are isomorphic
A set that is not finite is called infinite
Examples of using Locally
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She will live locally to the wood
Locally available construction materials should be promoted
Ethernet network and locally attached simultaneously
