Results 11 to 20 of about 193 (75)

Sobrification and bicompletion of totally bounded quasi-uniform spaces [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 1987
AbstractWe observe that if is a compatible totally bounded quasi-uniformity on a T0-space (X,), then the bicompletion of (X, ) is a strongly sober, locally quasicompact space. It follows that the b-closure S of (X, ) in is homeomorphic to the sobrification of the space (X, ).
Künzi, H. P. A., Brümmer, G. C. L.
semanticscholar   +4 more sources

Bicompletions of Distance Matrices [PDF]

Computation, Logic, Games, and Quantum Foundations, 2013
In the practice of information extraction, the input data are usually arranged into pattern matrices, and analyzed by the methods of linear algebra and statistics, such as principal component analysis. In some applications, the tacit assumptions of these methods lead to wrong results.
Dusko Pavlovic
semanticscholar   +7 more sources

Functorial approach structures [PDF]

Applied General Topology, 2003
We show that there exists at least a proper class of functorial approach structures, i.e., right inverses to the forgetful functor T : AP→ Top (where AP denotes the topological construct of approach spaces and contractions as introduced by R.
Guillaume C.L. Brümmer, Mark Sioen
doaj   +2 more sources

∗-half completeness in quasi-uniform spaces [PDF]

Applied General Topology, 2009
Romaguera and Sánchez-Granero (2003) have introduced the notion of T1∗-half completion and used it to see when a quasi-uniform space has a ∗-compactification. In this paper, for any quasi-uniform space, we construct a ∗-half completion, called standard ∗-
Athanasios Andrikopoulos
doaj   +2 more sources

Quasi-Uniformity on BL-algebras

Ratio Mathematica, 2018
See the pdf ...
Rajab Ali Borzooei, Nader Kouhestani
doaj   +2 more sources

Partial quasi-metrics

Theoretical Computer Science, 2006
In this article we introduce and investigate the concept of a partial quasi-metric and some of its applications. We show that many important constructions studied in Matthews's theory of partial metrics can still be used successfully in this more general
H. Künzi, H. Pajoohesh, M. Schellekens
semanticscholar   +2 more sources

Completions of partial metrics into value lattices

, 2009
In this paper we investigate some notions of completion of partial metric spaces. including the bicompletion, the Smyth completion, and a new "spherical completion".
R. Kopperman, S. Matthews, H. Pajoohesh
semanticscholar   +2 more sources

Fuzzy bicompletable quasi-fuzzy distance space

International Journal of Applied Mathematical Research, 2016
In this paper we introduce the definition of quasi-fuzzy distance space then we discuss several properties of this space after we give an example to illustrate this notion. Then we show that the existence of a quasi-fuzzy distance space which is not fuzzy bicompletable.
Jehad Kider, Aisha J. Hassan
openaire   +3 more sources

Fuzzy Quasi-Metric Spaces: Bicompletion, Contractions on Product Spaces, and Applications to Access Predictions [PDF]

, 2015
Desde que L.A. Zadeh presentó la teoría de conjuntos difusos en 1965, esta se ha usado en una amplia serie de áreas de las matemáticas y se ha aplicado en una gran variedad de escenarios de la vida real. Estos escenarios cubren procesos complejos sin modelo matemático sencillo tales como dispositivos de control industrial, reconocimiento de patrones o ...
Castro Company, Francisco
openaire   +3 more sources

A double completion for an arbitrary T0-quasi-metric space

J. Log. Algebraic Methods Program., 2008
We present a conjugate invariant method for completing any T0-quasi-metric space. The completion is built as an extension of the bicompletion of the original space.
H. Künzi, Charly Makitu Kivuvu
semanticscholar   +2 more sources