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locally

Let $\mathfrak{M}$$ be a class of mappings between compact spaces. A surjective mapping $f: X \to Y$$ between continua is said to be locally $\mathfrak{M}$$ provided that for each point $x\in X$$ there is a closed neighborhood

such that

is is a closed neighborhood of

and that the restriction $f\vert V$$ is in $\mathfrak{M}$$ (see [Mackowiak 1979, Chapter 4, Section C, p. 18]).

Next: locally confluent Up: Definitions Previous: like

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