Examples of 'hausdorff' in a sentence
Meaning of "hausdorff"
hausdorff (noun) - a mathematical term referring to a specific concept in topology, specifically in the study of metric spaces. The Hausdorff property relates to the separation of points in a space and plays a key role in the understanding of topological structures
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- Such that any two distinct points have disjoint neighborhoods.
How to use "hausdorff" in a sentence
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hausdorff
About fractals not needing a hausdorff dimension.
Hausdorff separation axiom.
We also characterize the locally compact hausdorff spaces which are paracompact.
Hausdorff topological space.
Collectionwise hausdorff space.
Hausdorff spaces are topological spaces in which individual points have disjoint neighborhoods.
About fractal not needing a Hausdorff dimension.
Hausdorff distance measures how far two compact subsets of a metric space are from each other.
Not to be confused with the Hausdorff distance.
Hausdorff was not trying to copy or even exceed Nietzsche.
Willard calls this a completely Hausdorff space.
There exist Hausdorff spaces that are not regular.
Prove that every discrete space is Hausdorff.
It is assumed to be a Hausdorff and second countable topological space.
You can not screw around with Hausdorff.
See also
A locally compact Hausdorff space is always locally normal.
The choice of subject was not easy for Hausdorff.
A compact subspace of a Hausdorff space is closed.
Sometimes paracompact spaces are defined so as to always be Hausdorff.
Compact subspaces of Hausdorff spaces are closed.
Kuratowski convergence is weaker than convergence in Hausdorff metric.
This makes the Hausdorff dimension of this structure.
These are what we usually call normal Hausdorff spaces.
Now we see how the Hausdorff dimension varies in.
Soft sheaves are acyclic over paracompact Hausdorff spaces.
Hausdorff maintained critical distance to the late works of Nietzsche.
This can never happen for a Hausdorff space.
A topological space has a Hausdorff compactification if and only if it is Tychonoff.
I have just started reading about Hausdorff dimensions.
The Hausdorff distance is defined on by.
We then build a differentiable approximation of the Hausdorff distance.
Embeddings into compact Hausdorff spaces may be of particular interest.
In the following we will assume all groups are Hausdorff spaces.
The Hausdorff metric on is defined by.
Every discrete subgroup of a compact Hausdorff group is finite.
A space is Hausdorff if every two distinct points have disjoint neighbourhoods.
However globally the total space might fail to be Hausdorff.
We provide a statistical approach to the Hausdorff classical moment problem.
A topological space is preregular if and only if its Kolmogorov quotient is Hausdorff.
Quotient spaces of locally compact Hausdorff spaces are compactly generated.
The situation is different for countably infinite compact Hausdorff spaces.
Closely related is his research on Hausdorff and other fractal dimensions.
A valuation is called continuous if it is continuous with respect to the Hausdorff metric.
Every ultrafilter on a compact Hausdorff space converges to exactly one point.
The Hausdorff measure is not to be confused with the notion of Hausdorff dimension.
It follows that every finite subgroup of a Hausdorff group is discrete.
A locally convex Hausdorff space is nuclear if and only if its completion is nuclear.
It is customary to require that the space be Hausdorff and second countable.
A smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space.
We now show that each finite subset of a Hausdorff space is closed.
