Results 221 to 230 of about 2,467,258 (262)

A Note on Locally Quasi-Uniform Spaces

Canadian Mathematical Bulletin, 1976
AbstractLocally quasi-uniform spaces are studied, and it is shown that a topological space (X, t) admits exactly one compatible locally quasi-uniform structure if and only if t is finite.
Hicks, Troy L., Huffman, Shirley M.
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On -fuzzy quasi-uniform spaces

Fuzzy Sets and Systems, 2007
Let \(L,M\) be completely distributive lattices. For each set \(X\), \(H(L^X)\) denotes the set of all join-preserving functions \(d:L^X\to L^X\) such that \(A\leq d(A)\) for all \(A\in L^X\). An \((L,M)\)-quasi-uniformity on a set \(X\) is a map \(H(L^X)\to M\) subject to certain conditions.
Fu-Gui Shi, Yueli Yue
exaly   +3 more sources

Bicompletion of Lowen fuzzy quasi-uniform spaces

Fuzzy Sets and Systems, 2003
The author sticks to the definition of Katsaras for \(I\)-fuzzy quasi-uniformities as a fuzzification of the entourage approach to quasi-uniformities by dropping the symmetry condition of Lowen's \(L\)-fuzzy uniformity (where \(L=I=[0,1])\). The construction of the bicompletion of \(I\)-fuzzy quasi-uniform spaces is done as a generalization of the ...
Kamal El-Saady
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Finite Topological Spaces and Quasi-Uniform Structures

Canadian Mathematical Bulletin, 1969
In [6], H. Sharp gives a matrix characterization of each topology on a finite set X = {x1, x2,…, xn}. The study of quasi-uniform spaces provides a more natural and obviously equivalent characterization of finite topological spaces. With this alternate characterization, results of quasi-uniform theory can be used to obtain simple proofs of some of the ...
P. Fletcher
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Transitive quasi-uniform spaces [PDF]

, 1974
Chapter 1 deals with basic properties of the category of quasi-uniform spaces and its full subcategory Qut of transitive quasi-uniform spaces. Chapter 2 concerns Fletcher's construction. We extend the class of covers to which this construction may be applied and study the functoriality of the construction.
Halpin, Michael Norman
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Boundedness in a Quasi-Uniform Space

Canadian Mathematical Bulletin, 1970
Although 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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Complete Quasi-Uniform Spaces

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., Hicks, Troy L., Carlson, John W.   +2 more
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Separation and Epimorphisms in Quasi-Uniform Spaces

Applied Categorical Structures, 2000
It 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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Nonstandard methods of completing quasi-uniform spaces [PDF]

Topology and Its Applications, 1995
A rather general method of constructing T2-completions of a quasi-uniform space is given. Using it we show that a sufficient condition for a quasi-uniform space to have a T2-completion is that the quasi-uniformity contains a compatible uniformity.
Hermann Render
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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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