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Surface-induced water crystallisation driven by precursors formed in negative pressure regions. [PDF]
Sun G, Tanaka H.
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Constructing Number Field Isomorphisms from *-Isomorphisms of Certain Crossed Product C*-Algebras. [PDF]
Bruce C, Takeishi T.
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On a structure of preorder relations on a topological space
Publicationes Mathematicae Debrecen, 2022The 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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Fuzzy Sets and Systems, 2008
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Wei Yao 0004, Fu-Gui Shi
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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, 2009The 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, 2005In 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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Duality relationships on preordered topological spaces: the case of maximal preorders
2001ISBN 88-88037-02 ...
CARDIN, Marta, FERRETTI, Paola
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Mathematical Social Sciences, 1991
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