Results 71 to 80 of about 1,774 (96)

On embedding separable spaces C ( L ) in arbitrary spaces C ( K ). [PDF]

Banach J Math Anal
Rondoš J, Sobota D.
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Metrization of Gromov-Hausdorff-type topologies on boundedly-compact metric spaces

66 pages. We update the framework by introducing GH-type topologies where embeddings need not fix the roots. We clarify when root-preserving GH-type topologies coincide with the classical ones, and further study functor composition, extending the range of examples to encompass a wider class of additional ...
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Metrizability of $b$-metric space and $\theta$-metric space via Chittenden's metrization theorem

, 2019
In [An, V.T., Tuyen, Q.L., Dung, V.N., Stone-type theorem on $b$-metric spaces and applications, Topology Appl. 185-186 (2015) 50-64], Tran Van An et al. provide a sufficient condition for $b$-metric space to be metrizable. They proved the metrizability by assuming that the distance function is continuous in one variable.
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Linear connections along the tangent bundle projection [PDF]

, 2009
Sarlet, Willy
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Metric Spaces and a Metrization Theorem

1979
A distance function p in a set X is a nonnegative real-valued function defined for each pair of points x, y ∊ X and satisfying: (i) ρ(x, y) = 0 if and only if x = y, (ii) ρ(x, y) = ρ(y, x), (iii) ρ(x, z) < ρ(x, y) + ρ(y, z) (triangle inequality).
Edwin Duda, Gordon Whyburn
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The Space of Metrics on a Compact Metrizable Space

American Journal of Mathematics, 1944
Not ...
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Metrization of Additive κ-Metric Spaces

Proceedings of the American Mathematical Society, 1987
We prove that an additive \(\kappa\)-metric space X is metrizable if X is one of the following: (1) X is pseudocompact, (2) X is a wM-space, (3) X is a paracompact \(\beta\)-space, especially stratifiable.
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On the metrization problem of $$\nu $$ ν -generalized metric spaces

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
In this paper we construct a counter-example to give a negative answer to Suzuki et al. (Open Math 13(1):510–517, 2015, Problem 5.1) on the metrization of $$\nu $$ -generalized metric spaces.
Nguyen Van Dung, Vo Thi Le Hang
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The metrization of rectangular b-metric spaces

Topology and its Applications, 2019
Abstract In this paper we prove a metrization theorem on rectangular b-metric spaces. Then we get a sufficient and necessary condition for a rectangular b-metric space to be metrizable.
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Metrizability of the Lévy topology on the space of nonadditive measures on metric spaces

Fuzzy Sets and Systems, 2012
We formalize the Levy-Prokhorov metric and the Fortet-Mourier metric for nonadditive measures on a metric space and show that the Levy topology on every uniformly equi-autocontinuous set of Radon nonadditive measures can be metrized by such metrics.
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