Results 191 to 200 of about 5,139,014 (234)
Canadian Mathematical Bulletin, 1980 AbstractAn example is given of a topological space that does not admit a strongly complete quasi-uniform structure.
Huffman, Shirley M. +2 more
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Completeness in probabilistic quasi-uniform spaces
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yueli Yue, Jinming Fang
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Some Results on Quasi-Uniform Spaces
Canadian Mathematical Bulletin, 1976 Constructions are made of a T1 space which does not have a T1 completion and of a quasi-uniform space which is complete, but not strongly complete. An example relating to a completion due to Popa is given. An alternate definition for Cauchy filter, called C-filter, is examined and a construction of a C-completion is given.
Carter, Karen S., Hicks, T. L.
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Cowellpoweredness of Some Categories of Quasi-Uniform Spaces
Applied Categorical Structures, 2018It is known that there is no example of a subcategory of the category $\mathbf{Unif}$ of uniform spaces that is non-cowellpowered. This paper is concerned with cowellpoweredness of subcategories of $\mathbf{QUnif}$, the category of quasi-uniform spaces, and shows that it has is a lot of cowellpowered and non-cowellpowered subcategories.
Dikran Dikranjan, Hans-Peter A Kunzi
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The scale of a quasi-uniform space [PDF]
, 2009 Over the last forty years much progress has been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the scale of a quasi-uniform space.
Olivier, Olela Otafudu
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Boundedness in a Quasi-Uniform Space
Canadian Mathematical Bulletin, 1970Although a nontopological concept, boundedness seems to be of considerable importance in a topological space. 'There are many topological problems in which it is essential to be able to make this distinction' (between bounded and unbounded sets) [1].
Murdeshwar, M. G., Theckedath, K. K.
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Separation and Epimorphisms in Quasi-Uniform Spaces
Applied Categorical Structures, 2000It is well known that the category of uniform spaces allows only for relatively few closure operators in the categorical sense. In contrast to this, the present paper shows that the category \textbf{QUnif} of quasi-uniform spaces carries plenty of different closure operators which then are studied comprehensively.
Dikran Dikranjan, Hans-Peter A. Künzi
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Entropy on quasi-uniform spaces
Acta Mathematica Hungarica, 2023\textit{R. Bowen} [Trans. Am. Math. Soc. 153, 401--414 (1971; Zbl 0212.29201)] defined the notion of entropy for uniformly continuous self-maps of metric spaces. Bowen's entropy coincides with the topological entropy when the metric space is compact. In this paper, modifying the notion of entropy by Bowen, the authors introduce a new notion of entropy,
Haihambo, P., Olela Otafudu, O.
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FIBREWISE BICOMPLETE QUASI-UNIFORM SPACES
Far East Journal of Mathematical Sciences (FJMS), 2015Summary: We introduce the notion of complete quasi-uniform spaces over a base space \(B\) and give some properties of these spaces. We introduce a general method to obtain fibrewise completion of quasi-uniform spaces over \(B\) and give internal descriptions of fibrewise completions for two different types.
Park, Jin Won, Lee, Byung Sik
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On Optimization Problems in Quasi-uniform Spaces
Third International Conference on Natural Computation (ICNC 2007), 2007This paper is concerned with optimization problems in T0 quasi-uniform spaces. Many optimization problems such as vector optimization, set-valued optimization, are unified in the quasi-uniform space to have a simple expression. Firstly, the proposition that a quasi-uniform space is T0 if and only if the intersection of all entourages of the quasi ...
Shao-ai Chen +3 more
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