Results 251 to 260 of about 859 (275)

Metrization and Liapunov functions. I

Acta Mathematica Hungarica, 1983
Let (X,d) be a metric space and \(T_ t:X\to X\) (\(t\in {\mathbb{R}})\) be a dynamical system. Let M, \(\emptyset\neq M\subset X\), be an asymptotically stable closed invariant set and A(M) be its region of attraction. It is well known that there exists a continuous function \(V:A(M)\to {\mathbb{R}}\) satisfying the following conditions: \((i)\quad V(x)
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Metrization of proximities

Summary: Suppose the proximity \(\delta\) is generated by a family \(\Omega\) of entourages of the diagonal. Is then \(\delta\) generated by a uniformity \({\mathcal U}\) of uniform weight \(uw({\mathcal U})\leq\text{Card}(\Omega)\)? In particular, if \(\delta\) is generated by a countable family of entourages is then \(\delta\) metrizable?
Mihaylova, Ekaterina, Nedev, Stoyan
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Metrization of Topological Spaces

Canadian Journal of Mathematics, 1951
A single valued function D(x, y) is a metric for a topological space provided that for points x, y, z of the space: 1. the equality holding if and only if x = y, 2. (symmetry), 3. (triangle inequality), 4.
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Metrization theorems in L-topological spaces

Fuzzy Sets and Systems, 2005
Fu-Gui Shi
exaly  

Metrizability

2003
Charalambos Aliprantis, Owen Burkinshaw
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Metrization theorem for a weaker class of uniformities

Afrika Matematika, 2015
P Sumati Kumari
exaly  

Remainders of metrizable and close to metrizable spaces

Fundamenta Mathematicae, 2013
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A unified approach to metrization problems

Acta Mathematica Hungarica, 1989
S A Naimpally, A di Concilio
exaly  

A parallel metrization theorem

European Journal of Mathematics, 2019
Taras Banakh, Olena Hryniv
exaly  

The Weak Topology and its Metrization

Wiley Series in Probability and Statistics, 2009
Elvezio M Ronchetti, Peter J Huber
exaly