On isometries in linear metric spaces
P. Mankiewicz (1976)
Studia Mathematica
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Displaying similar documents to “Topology of the isometry group of the Urysohn space”
On isometries in linear metric spaces
On the concepts of balls in a -metric space.
Naidu, S.V.R., Rao, K.P.R., Srinivasa Rao, N. (2005)
International Journal of Mathematics and Mathematical Sciences
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Only 3-generalized metric spaces have a compatible symmetric topology
Tomonari Suzuki, Badriah Alamri, Misako Kikkawa (2015)
Open Mathematics
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We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.
Metric spaces in which Prohorov's theorem is not valid
Preiss, D.
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A Universal Separable Diversity
David Bryant, André Nies, Paul Tupper (2017)
Analysis and Geometry in Metric Spaces
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The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be extended to an auto-isometry of the whole space. The Urysohn space is uniquely determined up to isometry within separable metric spaces by these two properties. We introduce an analogue of the Urysohn space for diversities, a recently developed...
Metric spaces in which a strengthened form of Blumberg's theorem holds
Jack Brown (1971)
Fundamenta Mathematicae
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On Fixed Point Theorems In 2-Metric Space
M. S. Kahn (1980)
Publications de l'Institut Mathématique
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Related fixed point theorems for three metric spaces.
Jain, R.K., Sahu, H.K., Fisher, Brian (1996)
Novi Sad Journal of Mathematics
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A minimalization of 0-dimensional metric spaces
W. Kulpa (1976)
Colloquium Mathematicae
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On fixed-point theorems in complete metric spaces
Bal Kishan Dass, Lalita Khazanchi (1976)
Colloquium Mathematicae
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A generalization of a fixed point theorem of Ćirić.
Türkoğlu, Duran, Fisher, Brian (1999)
Novi Sad Journal of Mathematics
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On metric σ-discrete spaces
Szymon Plewik, Marta Walczyńska (2016)
Banach Center Publications
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By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.