Results 1 to 10 of about 216 (129)
Remarks on metrizability and generalized metric spaces
Topology and Its Applications, 1999 Professor Nagata's remarks and reviews on metrization are always worth close scrutiny by anyone interested in topology. The two main results of the paper under review are: Theorem 1. A regular space \(X\) is metrizable iff it has a \(\sigma\)-closure-preserving \(k\)-network \(\bigcup{\mathcal F}_n\) such that each \({\mathcal F}_n\) is pseudo-interior-
Jun-Iti Nagata
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On the metrizability of cone metric spaces
Topology and Its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad-Mehdi Khani
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Metrizability of decomposition spaces of metric spaces
Topology and Its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshio Tanaka, Tanaka, Yoshio
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Some remarks on the metrizability of $$\mathcal {F}$$-metric spaces [PDF]
Journal of Fixed Point Theory and Applications, 2020 In this manuscript, we claim that the newly introduced $\mathcal{F}$-metric space \cite[\, M.~Jleli and B.~Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl, 20(3) 2018]{JS1} is metrizable. Also, we deduce that the notions of convergence, Cauchy sequence, completeness due to Jleli and Samet for $\mathcal{F}$-metric spaces are ...
Sumit Som +2 more
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On the metrizability of TVS-cone metric spaces [PDF]
Publications De L'Institut Mathematique, 2015 Metric spaces are cone metric spaces, and cone metric spaces are TVS-cone metric spaces. We prove that TVS-cone metric spaces are paracompact. A metrization theorem of TVS-cone metric spaces is obtained by a purely topological tools. We obtain that a homeomorphism f of a compact space is expansive if and only if f is TVS-cone expansive.
Shou Lin
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Metrizability of spaces of homomorphisms between metric vector spaces
Journal of Geometry and Physics, 2010 12 pages, no figure, submitted to Journal of Geometry and Physics.
Olaf Müller
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so-metrizable spaces and images of metric spaces [PDF]
Open Mathematics, 2021 Abstract so-metrizable spaces are a class of important generalized metric spaces between metric spaces and s n sn
Yang Songlin, Ge Xun
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g-metrizable spaces and the images of semi-metric spaces [PDF]
Czechoslovak Mathematical Journal, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, Ying, Lin, Shou
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Metrization of additive 𝜅-metric spaces [PDF]
Proceedings of the American Mathematical Society, 1987 We prove that an additive κ \kappa ...
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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
wiley +1 more source