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A surjective mapping
between compact spaces is
said to be (see [Mackowiak 1979, Chapter 3 and 4, p.
12-28])
*quasi-monotone* provided that for each subcontinuum of
with the nonempty interior the set has a finite number of
components and maps each of them onto .

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*