Generic uniqueness of minimal configurations with rational rotation numbers in Aubry-Mather theory.
Zaslavski, Alexander J. (2004)
Abstract and Applied Analysis
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Displaying similar documents to “Topology of -metric spaces”
Generic uniqueness of minimal configurations with rational rotation numbers in Aubry-Mather theory.
Generalized topologies for statistical metric spaces
E. Thorp (1962)
Fundamenta Mathematicae
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Coincidence of Vietoris and Wijsman Topologies: A New Proof
Holá, L’. (1997)
Serdica Mathematical Journal
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Let (X, d) be a metric space and CL(X) the family of all nonempty closed subsets of X. We provide a new proof of the fact that the coincidence of the Vietoris and Wijsman topologies induced by the metric d forces X to be a compact space. In the literature only a more involved and indirect proof using the proximal topology is known. Here we do not need this intermediate step. Moreover we prove that (X, d) is boundedly compact if and only if the bounded Vietoris and Wijsman topologies...
Fine topology on function spaces.
McCoy, R.A. (1986)
International Journal of Mathematics and Mathematical Sciences
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Vector-valued sequence space and its properties
Qing-Ying Bu (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, a vector topology is introduced in the vector-valued sequence space and convergence of sequences and sequentially compact sets in are characterized.
AC holds iff every compact completely regular topology can be extended to a compact Tychonoff topology
Horst Herrlich, Kyriakos Keremedis (2011)
Commentationes Mathematicae Universitatis Carolinae
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We show that AC is equivalent to the assertion that every compact completely regular topology can be extended to a compact Tychonoff topology.