Results 31 to 40 of about 61 (49)

The bicompletion of an asymmetric normed linear space

Acta Mathematica Hungarica, 2002
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García-Raffi, L. M., Romaguera, S., Sánchez-Pérez, E. A.   +2 more
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On the bicompletion of a partial quasi-metric space and $$T_{0}$$-quasi-metric spaces

Afrika Matematika, 2020
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Seithuti Moshokoa, Fanyana Ncongwane
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Bicompleting the left quasi-uniformity of a paratopological group

Archiv der Mathematik, 1998
Extending results from the theory of topological groups to paratopological groups, the authors show that the bicompletion of the left quasi-uniformity of a paratopological \((T_0)\)-group \(G\) can be considered a topological semigroup which contains \(G\) as a sup-dense subsemigroup. Furthermore they characterize those paratopological \((T_0)\)-groups
Marín, Josefa, Romaguera, Salvador
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Bicompleting weightable quasi-metric spaces and partial metric spaces

Rendiconti del Circolo Matematico di Palermo, 2002
The theories of partial metric spaces and of weightable quasi-metric spaces are equivalent, as was shown by \textit{S. G. Matthews} [Ann. New York Acad.Sci. 728, 183--197 (1994; Zbl 0911.54025)]. The present authors prove that the bicompletion of a weightable quasi-metric space is weightable.
Romaguera, S., Oltra, S., Sánchez-Pérez, E. A.   +2 more
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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 ...
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Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion

Acta Mathematica Hungarica, 2007
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Romaguera, S., Sapena, A., Valero, O.
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Quasinormed Cones and Bicompletion Isometries

Communications on Applied Nonlinear Analysis
Since (X, e_(p_j )) is an extended quasi-metric cone, we demonstrate how any quasi-norm p_jon an actual cancellative cone X naturally implies an extended quasi-metric e_(p_j ) on that cone. We demonstrate that bicompletion respects the structure of a quasi-normalized cone under bijective isometries.
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On the extension of classes of continuous maps to the bicompletion in quasi-uniform spaces

Quaestiones Mathematicae, 2007
In [6] characterizations of continuous maps between uniform spaces in terms of nets and filters are provided. Also, extensions of maps defined on a dense subset of a uniform space that preserve Cauchy filterbases between uniform spaces to the whole space are discussed.
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On classes of maps with the extension property to the bicompletion in quasi-pseudo metric spaces

Quaestiones Mathematicae, 2005
Extensions of CS-regular maps from a dense subset of a metric space to the whole space are discussed in the literature. It is the purpose of this paper to present results on extensions of these maps to the bicompletion in separated quasipseudo metric spaces, and in addition we discuss extensions of maps that preserve some special property.
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Functional transitive quasi-uniformities and their bicompletions

1995
Bibliography: pages 111-117.
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