Results 41 to 50 of about 4,715,878 (299)
On the weight of Hausdorff spaces
General Topology and its Applications, 1973 AbstractWe show that for every infinite cardinal α there is a Hausdorff space with density α and weight exp exp exp α. It is well-known that this is the maximum weight a space with this density can have.
István Juhász, Kenneth Kunen
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A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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On ∂-partial-locally compact space [PDF]
Mathematics and Computational Sciences, 2023 The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
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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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Enriched Stone-type dualities [PDF]
, 2017 A common feature of many duality results is that the involved equivalence functors are liftings of hom-functors into the two-element space resp. lattice.
Hofmann, Dirk, Nora, Pedro
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Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
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A New Approach to Hausdorff Space Theory via the Soft Sets
, 2016 The aim of this paper is to present the concept of soft bitopological Hausdorff space (SBT Hausdorff space) as an original study. Firstly, I introduce some new concepts in soft bitopological space such as SBT point, SBT continuous function, and SBT ...
Guzide Senel
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Publicationes Mathematicae Debrecen, 2008 This paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} ("pre-Hausdorff"), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss.
Stine, Jay, Mielke, M. V.
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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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