Results 51 to 60 of about 90 (82)

On a structure of preorder relations on a topological space

Publicationes Mathematicae Debrecen, 2022
The following are the main results of the paper: 1) a decomposition theorem for preorders over a topological space, and 2) a maximality principle for preorder-compact subsets in a topological space. These may be viewed as ``purely'' topological versions of those in [the author, Isr. J. Math. 54, 33-41 (1986; Zbl 0604.49006) and Bull. Aust. Math.
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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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