Results 1 to 10 of about 90 (82)
Order extension of order monomorphisms on a preordered topological space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 This paper proves Nachbin-type extension theorems for infinitely many functions on a topological space equipped with a preorder.
Ghanshyam Mehta
doaj +4 more sources
Applied General Topology, 2000 We characterize the existence of a real continuous order-preserving function on a topological preordered space, under the hypotheses that the topological space is normal and the preorder satisfies a strong continuity assumption, called IC-continuity ...
Gianni Bosi, R. Isler
doaj +5 more sources
ON YI'S EXTENSION PROPERTY FOR TOTALLY PREORDERED TOPOLOGICAL SPACES [PDF]
Journal of the Korean Mathematical Society, 2006 ain Abstract. The objective of this paper is to show further results concerning the problem of extending total preorders from a sub- set of a topological space to the entire space using the approach introduced by Gyoseob Yi.
Esteban Induráin
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Quasi-pseudo-metrization of topological preordered spaces
Topology and Its Applications, 2012 Latex2e, 20 pages.
Ettore Minguzzi
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Insertion and extension theorems for lattice-valued functions on preordered topological spaces
Topology and Its Applications, 2011 The present paper deals with lattice-valued functions defined on preordered topological spaces in which no separation axiom is assumed. The authors study conditions for the insertion (double insertion) of a continuous monotone function (a pair of semicontinuous monotone functions) between comparable functions of a prefixed type.
M A De Prada Vicente +1 more
exaly +2 more sources
Bicontinuous preordered topological spaces [PDF]
Pacific Journal of Mathematics, 1971 exaly +3 more sources
Hahn-Banach type theorems for hypolinear functionals on preordered topological vector spaces [PDF]
Pacific Journal of Mathematics, 1974 Anger, Bernd, Lembcke, Jörn
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
Axioms, 2023 We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous ...
Gianni Bosi, Magalì Zuanon
doaj +1 more source
Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge
Journal of Inequalities and Applications, 2007 We obtain efficient conditions under which some or all solutions of a nonlinear equation in a topological vector space preordered by a closed wedge are comparable with respect to the corresponding preordering.
Rontó A, Šremr J
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A note on generalized topological spaces and preorder [PDF]
Cubo (Temuco), 2010 This paper deals with the notion of continuity in ordered generalized topological spaces. We also characterize general topological spaces satisfying the Hausdorff property via the graph of the preorder assigned to the general topological space.Este artículo trata de continuidad en espacios topológicos ordenados.
Jafari, Saeid +2 more
openaire +3 more sources