Results 151 to 160 of about 15,159 (191)
On Cℵ-fibrations in bitopological semigroups. [PDF]
ScientificWorldJournal, 2014 Dawood S, Kılıçman A.
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Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime. [PDF]
Stoch Partial Differ EquGasteratos I, Salins M, Spiliopoulos K.
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On metrizability of $M$-spaces
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1964 openaire +2 more sources
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Metrizable and weakly metrizable coset spaces
Topology and its Applications, 2021Metrization theorems play an essential role in general topology and analysis. The classical Birkhoff-Kakutani Theorem states that a topological group \(G\) is metrizable if and only if it is \(T_1\) and first-countable. The condition of being first-countable can be weakened with some additional properties which hold automatically for first-countable ...
Ling, Xuewei, Lin, Shou, He, Wei
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Metrization of Symmetric Spaces
Canadian Journal of Mathematics, 1975A distance function d on a set X is a function X × X → [0, ∞ ) satisfying (1) d(x, y) = 0 if and only if x = y, and (2) d(x, y) = d(y, x). Such a function determines a topology T on X by agreeing that U is an open set if it contains an ∈-sphere N(p; ∈)( = {x: d(p, x) < ∈﹜} about each of its points.
Harley, P. W. III, Faulkner, G. D.
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Canadian Mathematical Bulletin, 1984
AbstractK. Kunugi introduced the notion of ranked space as a generalization of that of metric spaces, (see [6]). In this note we define a metrizability of ranked spaces and study conditions under which a ranked space is metrizable.
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AbstractK. Kunugi introduced the notion of ranked space as a generalization of that of metric spaces, (see [6]). In this note we define a metrizability of ranked spaces and study conditions under which a ranked space is metrizable.
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Mathematics of the USSR-Izvestiya, 1980
In this paper the author studies spaces in which one can define a "distance" from points to canonically closed sets (the -metric). It is proved that products of metric spaces and locally compact groups are examples of such spaces, and in these cases the -metric can be constructed so that an analogue of the triangle axiom is satisfied.
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In this paper the author studies spaces in which one can define a "distance" from points to canonically closed sets (the -metric). It is proved that products of metric spaces and locally compact groups are examples of such spaces, and in these cases the -metric can be constructed so that an analogue of the triangle axiom is satisfied.
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Metrization of Topological Spaces
Canadian Journal of Mathematics, 1951A 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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