Results 21 to 30 of about 5,551 (211)
International Journal of Mathematics and Mathematical Sciences, 1998 We prove that a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, cannot be locally connected, and also that every continuous function from a countable connected, locally connected Hausdorff ...
V. Tzannes
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Compactifications of Hausdorff Spaces [PDF]
Proceedings of the American Mathematical Society, 1969 1. Introduction. In this paper, we describe methods of imbedding a Hausdorff space X in a compact space X so that each function in a given family of continuous functions on X has a continuous extension to X and the family of extensions separates the points of X -X. In particular, if X is completely regular but not locally compact, then we shall exhibit
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Compact and extremally disconnected spaces
International Journal of Mathematics and Mathematical Sciences, 2004 Viglino defined a Hausdorff topological space to be C-compact if each closed subset of the space is an H-set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S-set ...
Bhamini M. P. Nayar
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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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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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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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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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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Hausdorff operators on homogeneous spaces of locally compact groups
Журнал Белорусского государственного университета: Математика, информатика, 2020 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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