Results 41 to 50 of about 64 (62)

Quasi-pseudo-metrization of topological preordered spaces

Topology and Its Applications, 2012
We establish that every second countable completely regularly preordered space (E,T,⩽) is quasi-pseudo-metrizable, in the sense that there is a quasi-pseudo-metric p on E for which the pseudo-metric p∨p−1 induces T and the graph of ⩽ is exactly the set {(
E Minguzzi
exaly   +2 more sources

Topological ordered spaces as a foundation for a quantum spacetime theory

Journal of Physics: Conference Series, 2013
I outline some recent progress on the theory of topological preordered spaces, and comment on the role of these spaces for an approach to a quantum theory of ...
E Minguzzi
exaly   +2 more sources

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Continuous order-preserving functions on a preordered completely regular topological space

2001
Summary: A necessary and sufficient condition is presented for the existence of a real continuous order-preserving function \(f\) on a topological preordered space \((X,\tau,\preceq)\), under a reasonable continuity assumption concerning the preorder \(\preceq\), called ``quasi IC-continuity''.
BOSI, GIANNI, ISLER, ROMANO
openaire   +3 more sources

Representation of a preorder on a topological space by a countable family of upper semicontinuous order-preserving functions

2018
We discuss the existence of a countable family of upper semicontinuous order-preserving functions representing a not necessarily total preorder on a topological space.
Gianni Bosi, Paolo Bevilacqua, Magalì Zuanon   +2 more
openaire   +1 more source

Fixed point theorems for asymptotically T-regular mappings in preordered modular G-metric spaces applied to solving nonlinear integral equations

Journal of Analysis, 2021
Godwin Amechi Okeke, Daniel Francis
exaly  

Normally Preordered Spaces and Utilities

Order, 2011
E Minguzzi
exaly  

Insertion and extension theorems for lattice-valued functions on preordered topological spaces

Topology and Its Applications, 2011
Javier Gutierrez Garcia, M A De Prada Vicente   +1 more
exaly  

Lattice-valued preordered sets as lattice-valued topological systems

Fuzzy Sets and Systems, 2015
Jeffrey T Denniston, Austin Melton, Sergey A Solovyov   +2 more
exaly  

ON YI'S EXTENSION PROPERTY FOR TOTALLY PREORDERED TOPOLOGICAL SPACES

Journal of the Korean Mathematical Society, 2006
Maria Jesus Campion, Esteban Induráin
exaly  

On supra soft topological ordered spaces

Arab Journal of Basic and Applied Sciences, 2019
Tareq M Al-Shami, M E El-Shafei
exaly