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Let
be a class of mappings. Two spaces and are said to
be *equivalent with respect to*
(shortly
-*equivalent*) if there are two mappings, both in
, one from onto and the other from onto . If
means the class of monotone mappings, we say that and
are *monotonely equivalent*.

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

*2001-11-30*