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Let
be a class of mappings between compact
spaces. A surjective mapping
between continua is said to be
*locally*
provided that for each point there
is a closed neighborhood of such that is is a closed
neighborhood of and that the restriction is in
(see [Mackowiak 1979, Chapter 4, Section C, p.
18]).

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*