Results 31 to 40 of about 6,505 (255)
Continua in the Gromov–Hausdorff space [PDF]
11 pages. The main results are more generalized. This paper is strongly related to my paper arXiv:2110.01881, and there are overlapped or similar explanations and ...
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On nearly Hausdorff compactifications
We introduce and study here the notion of nearly Hausdorffness, a separation axiom, stronger than T1 but weaker than T2. For a space X, from a subfamily of the family of nearly Hausdorff spaces, we construct a compact nearly Hausdorff space rX containing
Sejal Shah, T.K. Das
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Icing Mitigation by MEMS-Fabricated Surface Dielectric Barrier Discharge
Avoiding ice accumulation on aerodynamic components is of enormous importance to flight safety. Novel approaches utilizing surface dielectric barrier discharges (SDBDs) are expected to be more efficient and effective than conventional solutions for ...
Matthias Lindner +11 more
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A Simple Proof of Dvoretzky-Type Theorem for Hausdorff Dimension in Doubling Spaces
The ultrametric skeleton theorem [Mendel, Naor 2013] implies, among other things, the following nonlinear Dvoretzky-type theorem for Hausdorff dimension: For any 0 < β < α, any compact metric space X of Hausdorff dimension α contains a subset which is ...
Mendel Manor
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Embedding topological spaces into Hausdorff κ-bounded spaces
Let $ $ be an infinite cardinal. A topological space $X$ is $ $-bounded if the closure of any subset of cardinality $\le $ in $X$ is compact. We discuss the problem of embeddability of topological spaces into Hausdorff (Urysohn, regular) $ $-bounded spaces, and present a canonical construction of such an embedding.
Taras Banakh +2 more
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Compactification of closed preordered spaces
A topological preordered space admits a Hausdorff T2-preorder compactification if and only if it is Tychonoff and the preorder is represented by the family of continuous isotone functions.
E. Minguzzi
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Homogeneous countable connected Hausdorff spaces [PDF]
In 1925, P. Urysohn gave an example of a countable connected Hausdorff space [4]. Other examples have been contributed by R. Bing [1], M. Brown [2], and E. Hewitt [3]. Relatively few of the properties of such spaces have been examined. In this paper the question of homogeneity is studied.
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Hausdorff operators on homogeneous spaces of locally compact groups
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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Embeddings in minimal Hausdorff spaces [PDF]
We show that not every semiregular space is embeddable as an open and dense set of some minimal Hausdorff space. Also a space is constructed for which it is not decidable in Z.F.C whether such an embedding exists.
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Embedding into discretely absolutely star-Lindelöf spaces II
A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense subset D of X, there exists a countable subset F of D such that F is discrete closed in X and St(F, U) = X, where St(F, U) = S{U ∈ U : U ∩F 6= Ø}.
Yan-Kui Song
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