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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 V of x such that f(V) is is a closed neighborhood of f(x)
and that the restriction f|V is in (see
[59, Chapter 4, Section C, p. 18]).
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-02-21