Results 51 to 60 of about 82 (77)

A note on specialization L-preorder of L-topological spaces, L-fuzzifying topological spaces, and L-fuzzy topological spaces

Fuzzy Sets and Systems, 2008
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Wei Yao 0004, Fu-Gui Shi
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On the relationship between limit spaces, many valued topological spaces, and many valued preorders

Fuzzy Sets and Systems, 2009
The authors investigate the interrelations between the categories of topological spaces, limit spaces, preordered sets, \(L\)-topological spaces and \(L\)-preordered sets where \(L\) is a meet continuous residuated complete lattice.
Lingqiang Li, Dexue Zhang
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A separation theorem for semicontinuous functions on preordered topological spaces

Archiv der Mathematik, 2005
In a main theorem the author characterizes those topological spaces \(X\) with preorder \(\leq\) that have the following property: If \(-g,f\) are real-valued bounded upper semicontinuous functions on \(X\) such that \(g(x)\leq f(y)\) whenever \(x,y\in X\) and \(x\leq y,\) then there exists a real-valued bounded increasing continuous function \(h\) on \
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Topological spaces for which every continuous total preorder can be represented by a continuous utility function

Mathematical Social Sciences, 1991
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Duality relationships on preordered topological spaces: the case of maximal preorders

2001
ISBN 88-88037-02 ...
CARDIN, Marta, FERRETTI, Paola
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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
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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
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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
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On preordered topological spaces and increasing semicontinuous functions

Commentationes Mathematicae, 2017
Semadeni, Z., Zidenberg, H.
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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.
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