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quasi-monotone

A surjective mapping f: X \to Y$ between compact spaces is said to be (see [Mackowiak 1979, Chapter 3 and 4, p. 12-28]) quasi-monotone provided that for each subcontinuum Q$ of Y$ with the nonempty interior the set f^{-1}(Q)$ has a finite number of components and f$ maps each of them onto Q$.
next up previous contents index
Next: radially convex at Up: Definitions Previous: property of Kelley
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30