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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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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The fundamental theorem of asset pricing with and without transaction costs
Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
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Hicks-Type Fixed Point Results and Uniform Structure in Intuitionistic Fuzzy b-Metric Spaces
AxiomsIn this paper, we propose a new class of intuitionistic fuzzy b-metric spaces in the sense of Romaguera and investigate their fixed-point properties. Within this framework, we define and analyze Hicks-type contraction mappings.
Şuara Onbaşıoğlu Altuhovs +1 more
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Covariant and contravariant approaches to topology
International Journal of Mathematics and Mathematical Sciences, 1997 This paper is an exposition of results contained in [2]. The purpose of [2] is to present a way of viewing of basic topology which unifies quite a few results and concepts previously seemed not related (quotient maps, product topology, subspace topology,
Jerzy Dydak
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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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Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
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