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equivalent

Let $\mathfrak{M}$$ be a class of mappings. Two spaces

and

are said to be equivalent with respect to $\mathfrak{M}$$ (shortly $\mathfrak{M}$$ -equivalent) if there are two mappings, both in $\mathfrak{M}$$ , one from

onto

and the other from

onto

. If $\mathfrak{M}$$ means the class of monotone mappings, we say that

and

are monotonely equivalent.

Next: -equivalent Up: Definitions Previous: end point

Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30