Results 41 to 50 of about 93,950 (215)
Applied General Topology, 2017 Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O.
Hawete Hattab
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IOSR Journal of Mathematics, 2014 The aim of this paper is to study some properties of ideal Hausdorff space. We introduce some new concepts in ideal topological space such as convergence of sequences and the concepts of Hausdorff axiom in ideal topological space.
C.R Parvathy, E Divya
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Continua in the Gromov–Hausdorff space [PDF]
Topology and its Applications, 2022 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
Applied General Topology, 2006 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
Applied Sciences, 2021 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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How to avoid a compact set [PDF]
, 2017 A first-order expansion of the $\mathbb{R}$-vector space structure on $\mathbb{R}$ does not define every compact subset of every $\mathbb{R}^n$ if and only if topological and Hausdorff dimension coincide on all closed definable sets. Equivalently, if $A \
Fornasiero, Antongiulio +2 more
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On a generalization of Hausdorff space
International Journal of Mathematics and Mathematical Sciences, 1986 Here, a new separation axiom as a generalization of that of Hausdorff is introduced. Its simple consequences and relations with some other known separation axioms are studied. That a non-indiscrete topological group satisfies this axiom is shown.
Tapas Dutta
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A Simple Proof of Dvoretzky-Type Theorem for Hausdorff Dimension in Doubling Spaces
Analysis and Geometry in Metric Spaces, 2022 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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Topological Conformal Dimension [PDF]
, 2015 We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of a metric space. This invariant, called the topological conformal dimension, gives a lower bound on the topological Hausdorff dimension of quasisymmetric ...
DiMarco, Claudio A.
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Embedding topological spaces into Hausdorff κ-bounded spaces
Topology and its Applications, 2020 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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