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- W2083436723 abstract "Let f : Y ! Z with Y XI := i2I Xi. Then (a) J I is essential if there are x;y2 Y such that d(x;y) = J and f(x)6 f(y), where d(x;y) :=fi2 I : xi6 yig; Jf :=fi :fig is essentialg; an essential J is optimally essential if no essential J 0 J satises jJ 0 j < jJj; J 2 Jf if J is a maximal family of pairwise disjoint optimally essential sets; f := supfjJj :J 2 Jfg. (b) f depends on J I if (x;y 2 Y;xJ = yJ )) f(x) = f(y); Df :=fJ I : f depends on Jg; f := minfjJj : J2Dfg. Theorem 1. J2Df ) f j Jj. Theorem 2.J 2 Jf ) S J 2Df . That context is strictly set-theoretic. Henceforth let XI and Z be spaces with Z Hausdor," @default.
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- W2083436723 date "2009-05-01" @default.
- W2083436723 modified "2023-09-22" @default.
- W2083436723 title "FUNCTIONAL DEPENDENCE ON SMALL SETS OF INDICES" @default.
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