On a structure of preorder relations on a topological space
Copyright policy )On a structure of preorder relations on a topological space
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. Soc. 35, 97-109 (1987; Zbl 0594.46004)].
preorders, Ordered structures, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Other classical set theory (including functions, relations, and set algebra), Individual preferences, maximal element
preorders, Ordered structures, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Other classical set theory (including functions, relations, and set algebra), Individual preferences, maximal element
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