Results 231 to 240 of about 859 (275)
Abstract This article analyses the racialized and gendered constraints faced by African sportswomen in international sporting competitions, from the interwar period to the 1980s, with a focus on the policing and expectations framing young international athletes’ acceptable behaviour.
Claire Nicolas
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A Contribution to the Theory of Metrization
In a paper on the same subject [28] and another coming out at the same time [27], Nagata gave his celebrated Double (treble, really) Sequence Theorem, with which he deduced easily and thus brought together the basic metrization theorems, i.e. theorems in which the conditions for metrizability are given as the availability of bases or subbases of ...
H. H. Hung
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Alternative Metrization Proofs
Alternative methods of proving several classical metrization theorems are offered in this paper, showing that they follow by elementary methods from an early theorem of Alexandroff and Urysohn. A simplified proof of the latter theorem is also given. Theorem 5 and a corollary to Theorem 3 state the main results.
Dale Rolfsen
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Applied and Numerical Harmonic Analysis, 2013
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complet, detailed proofs, and a large number of examples and counterexamples are provided.
Irina Mitrea, Marius Mitrea
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The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complet, detailed proofs, and a large number of examples and counterexamples are provided.
Irina Mitrea, Marius Mitrea
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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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ON THE METRIZATION LEMMA FOR UNIFORM SPACES
We show a numeric generalization of the well-known metrization lemma for uniform spaces, thereby answering a question left open in [2] to the affirmative.
Windels, B
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Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berestovskii, V. N., Gichev, V. M.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berestovskii, V. N., Gichev, V. M.
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Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups
We define probabilistic convergence groups based on Tardiff’s neighborhood systems for probabilistic metric spaces and develop the basic theory. We study, as natural examples, probabilistic metric groups and probabilistic normed groups as well as ...
T M G Ahsanullah, Günther Jäger
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Mathematical Logic Quarterly, 2007
AbstractEvery second‐countable regular topological space X is metrizable. For a given “computable” topological space satisfying an axiom of computable regularity M. Schröder [10] has constructed a computable metric. In this article we study whether this metric space (X, d) can be considered computationally as a subspace of some computable metric space [
Tanja Grubba +2 more
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AbstractEvery second‐countable regular topological space X is metrizable. For a given “computable” topological space satisfying an axiom of computable regularity M. Schröder [10] has constructed a computable metric. In this article we study whether this metric space (X, d) can be considered computationally as a subspace of some computable metric space [
Tanja Grubba +2 more
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Metrizability and Coconnectedness
Applied Categorical Structures, 2006A topological space \(X\) is called coconnected if every continuous map \(f:X^2\to X\) depends on at most one coordinate. Solving a problem stated in \textit{J. Sichler} and \textit{V. Trnková} [Topology Appl. 142, No. 1--3, 159--179 (2004; Zbl 1068.54009)], the author constructs metric spaces \(X=(P,\mu)\) and \(Y=(P,\nu)\) such that the four monoids \
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