A surjective mapping between compact spaces is
said to be (see [59, Chapter 3 and 4, p. 12-28])
weakly confluent provided that for each subcontinuum Q of Y
there is a component the set f-1(Q) which is mapped under f onto Q.
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih 2001-02-21
between compact spaces is
said to be (see [59, Chapter 3 and 4, p. 12-28])
weakly confluent provided that for each subcontinuum Q of Y
there is a component the set f-1(Q) which is mapped under f onto Q.