Examples of 'locally compact' in a sentence
Meaning of "locally compact"
In mathematics, locally compact refers to a property of topological spaces. A topological space is said to be locally compact if every point in the space has a compact neighborhood. This property allows for the existence of a wide variety of useful concepts and theorems in analysis and topology
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- Of a topological space: such that, for every point of the space, there is a neighborhood of that point whose closure is compact.
How to use "locally compact" in a sentence
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locally compact
It is locally compact if given the discrete topology.
Probability distributions on locally compact abelian groups.
Any locally compact field is spherically complete.
Continuous bounded cohomology of locally compact groups.
Locally compact but not strongly locally compact.
Mean value on locally compact abelian groups.
Locally compact groups have the stronger property of being normal.
Every quotient of a locally compact group is locally compact.
Locally compact topological space.
Group algebra of a locally compact group.
For locally compact spaces an integration theory is then recovered.
Any discrete group is locally compact.
Locally compact topological group.
Unitary representations of locally compact groups.
Locally compact topological spaces.
See also
A complete invariant of a locally compact group.
Locally compact quantum groups.
Every closed subgroup of a locally compact group is locally compact.
Locally compact field.
We generalize it to locally compact groups.
Is locally compact.
This point of view is instrumental in studying locally compact groups.
A quotient space of a locally compact space need not be locally compact.
The rational numbers are an important example of a space which is not locally compact.
It is not locally compact.
For locally compact spaces local uniform convergence and compact convergence coincide.
The theorem also holds more generally in locally compact abelian groups.
A space is locally compact if every point has a local base consisting of compact neighbourhoods.
One can easily prove that the restricted product is itself a locally compact group.
We also characterize the locally compact hausdorff spaces which are paracompact.
An example is given by the construction of Haar measure on a locally compact group.
A metric space is said to be locally compact if every point has a compact neighborhood.
A locally compact space is one where each point has a base of compact neighborhoods.
Probability distribution on locally compact Abelian groups.
A locally compact Hausdorff space is always locally normal.
The Moore plane is not locally compact.
Quotient spaces of locally compact Hausdorff spaces are compactly generated.
Such functions exist by the Tietze extension theorem which applies to locally compact Hausdorff spaces.
The locally compact abelian case is part of the Pontryagin duality theory.
On Fourier algebra of a locally compact hypergroup.
Similarly locally compact Tychonoff spaces are usually just referred to as locally compact Hausdorff spaces.
In what follows X denotes a locally compact topological space.
Every locally compact group has a Haar measure that is invariant under the group action.
However unlike C this field is not locally compact.
The representation theory for locally compact abelian groups is described by Pontryagin duality.
Exhaustion by compact sets Lindelöf space Locally compact space.
Let Γ be a second countable locally compact group for instance a countable discrete group.
Locally compact Hausdorff space.
Closed and open subsets of locally compact Hausdorff space are locally compact.
Namely, if a topological vector space is finite dimensional, it is locally compact.
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Examples of using Compact
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Convenient and compact design with handle
Compact and light for easy handling
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
