Results 61 to 70 of about 90 (82)

Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation [PDF]

, 2014
On basis of the meanwhile classical continuous multi-utility representation theorem of Levin on locally compact and $\sigma$-compact Hausdorff-spaces the question of characterizing all topological spaces $(X,t)$ for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation will be discussed.
Bosi, Gianni, Herden, Gerhard
openaire  

Some of the next articles are maybe not open access.

Related searches:

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

On preordered topological spaces and increasing semicontinuous functions

Commentationes Mathematicae, 2017
Semadeni, Z., Zidenberg, H.
openaire   +2 more sources

Preordered topological spaces, utility and jointly utility functions

2012
Classical theorems of Eilenberg and Debreu state that every continuous total order, defined respectively on a connected separable space and on a second countable space, has a continuous representation. The notions of network and netweight provide useful tools in the theory of representation.
openaire   +1 more source

Separation properties at \(p\) for the topological categories of reflexive relation spaces and preordered spaces

1992
Summary: In [the author, Separation properties in topological categories, PhD Thesis Univ. of Miami 1990; Indian J. Pure Appl. Math. 23, No. 5, 333-341 (1992; Zbl 0767.54014)] various generalizations of the separation properties are defined for an arbitrary topological category over sets.
openaire   +2 more sources

Torsion theories and coverings of preordered groups

Algebra Universalis, 2021
Marino Gran, Gran Marino
exaly  

Lattice-valued preordered sets as lattice-valued topological systems

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

Normally Preordered Spaces and Utilities

Order, 2011
Ettore Minguzzi
exaly  

Preordered sets valued in a GL-monoid

Fuzzy Sets and Systems, 2012
Dexue Zhang
exaly