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OM-mapping

A surjective mapping f: X \to Y$ 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, f = f_2 \circ f_1$ such that f_1$ is monotone and f_2$ is open.
next up previous contents index
Next: open map Up: Definitions Previous: near homeomorphism
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30