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local homeomorphism

A surjective mapping f: X \to Y$ between compact spaces is said to be (see [Mackowiak 1979, Chapter 3 and 4, p. 12-28]):
- a local homeomorphism provided that for each point x\in X$ there exists a an open neighborhood U$ of x$ such that f(U)$ is an open neighborhood of f(x)$ and that f$ restricted to U$ is a homeomorphism between U$ and f(U)$.
next up previous contents index
Next: local separating point Up: Definitions Previous: locally confluent
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30