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near homeomorphism

A mapping f: X \to Y$ is called a near homeomorphism provided that for each \varepsilon > 0$ there is a homeomorphism h: X \to Y$ such that \sup \{d(f(x), h(x)): x \in X\} < \varepsilon $.
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Next: OM-mapping Up: Definitions Previous: neat
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30