Results 11 to 20 of about 607,497 (301)
On quasi-uniformities in hyperspaces [PDF]
Proceedings of the American Mathematical Society, 1977 Quasi-uniformities in spaces of subsets are investigated. It is shown, by means of examples, how quasi-uniformities can play a unifying role in the study of topological structures in hyperspaces. The main application is the following result: an infinite product of upper semicontinuous multi-valued mappings, with compact sets as values, is again upper ...
Künzi, H. P. A. +7 more
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Applied General Topology, 2017 We revisit the computation of entourage sections of the constant uniformity of the product of countably many copies the Alexandroff one-point compactification called the Fort space. Furthermore, we define the concept of a quasi-uniformity on a product of
Olivier Olela Otafudu, Hope Sabao
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Merotopies associated with quasi-uniformities [PDF]
Applied General Topology, 2000 To an arbitrary quasi-uniformity on the set X, a merotopy on X is assigned. There are results concerning the question whether this merotopy is compatible with the topology induced by the quasi-uniformity end whether the closure operation induced by the ...
Ákos Császár
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Bicompleteness of the fine quasi-uniformity [PDF]
, 1991 A characterization of the topological spaces that possess a bicomplete fine quasi-uniformity is obtained. In particular we show that the fine quasi-uniformity of each sober space, of each first-countable T1-space and of each quasi-pseudo-metrizable space
Ferrario, Nathalie +1 more
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Quasi-Uniformity on BL-algebras
Ratio Mathematica, 2018 See the pdf ...
Rajab Ali Borzooei, Nader Kouhestani
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Compactifications of quasi-uniform hyperspaces
Topology and its Applications, 2003 In this paper the authors study compactifications of quasi-uniform hyperspaces. They prove among other things that for a Tychonoff space \(X\), the hyperspace \(2^{\beta X}\) is equivalent to the \({}^*\)-compactification of \(({\mathcal C}_0(X), {\mathcal P}{\mathcal N}_H)\) if and only if \(X\) is normal. From this they deduce that if \(X\) is normal
Romaguera, Salvador +1 more
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A curious example involving ordered compactifications
Applied General Topology, 2002 For a certain product X x Y where X is compact, connected, totally ordered space, we find that the semilattice K0 (X x Y) of ordered compactifications of X x Y is isomorphic to a collection of Galois connections and to a collection of functions F which ...
Thomas A. Richmond
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Frontiers in Physiology, 2020 The seemingly uniform striation pattern of skeletal muscles, quantified in terms of sarcomere lengths (SLs), is inherently non-uniform across all hierarchical levels.
Eng Kuan Moo, Walter Herzog
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Recent Progresses in Characterising Information Inequalities
Entropy, 2011 In this paper, we present a revision on some of the recent progresses made in characterising and understanding information inequalities, which are the fundamental physical laws in communications and compression.
Terence Chan
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Applied General Topology, 2004 We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy quasi-metric space generates a quasi ...
Valentín Gregori, Salvador Romaguera
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