Some Topological Properties of CbX
Journal of Function Spaces, 2014 If X is a completely regular space, first we characterize those spaces CbX whose compact sets are metrizable. Then we use this result to provide a general condition for X to ensure the metrizability of compact sets in CbX.
Juan Carlos Ferrando
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One point compactification for generalized quotient spaces
Applied General Topology, 2010 The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature.
V. Karunakaran, C. Ganesan
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Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
, 2009 We use Fr\"olicher-Nijenhuis theory to obtain global Helmholtz conditions, expressed in terms of a semi-basic 1-form, that characterize when a semispray is locally Lagrangian.
Bucataru, Ioan, Dahl, Matias F.
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Metrizability of the strong dual: equivalent topological characterizations
Extracta MathematicaeThis short article presents several equivalent topological characterizations for the metrizability of the strong dual of a locally convex Hausdorff space.
Subiman Kundu, Varun Jindal
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Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]
Neutrosophic Sets and SystemsIn this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
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Extensions defined using bornologies
Applied General Topology, 2013 Many extensions of a space X such that the remainder Y is closed can be constructed as B-extensions, that is, by defining a topology on the disjoint union X [ Y , provided there exists a map, satisfying some conditions, from a basis of Y into the family ...
Alessandro Caterino, M. Cristina Vipera
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Simultaneous metrizability of coarse spaces
, 2011 A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of
Wright, Nick
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Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метризуемости твп-конических пространств» / Neke kritičke napomene o radu “Beleška o metrizabilnosti tvp-konusnih metričkih prostora” [PDF]
Vojnotehnički Glasnik, 2018 This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new.
Suzana M. Aleksić +3 more
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A Rim-Metrizable Continuum [PDF]
Proceedings of the American Mathematical Society, 1995 A locally connected rim-metrizable continuum is constructed which admits a continuous mapping onto a non rim-metrizable space.
Nikiel, J. +2 more
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, 2013 We study the concept of cone metric space in the context of ordered vector spaces by setting up a general and natural framework for it.Comment: 10 ...
Ercan, Zafer, Çağlar, Mert
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