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A surjective mapping
between compact spaces is
said to be (see [Mackowiak 1979, Chapter 3 and 4, p.
12-28]):

- an *OM-mapping* provided that it can be
represented as the composition of two mappings,
such
that is monotone and is open.

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

*2001-11-30*