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weakly confluent

A surjective mapping f: X \to Y$ between compact spaces is said to be (see [Mackowiak 1979, 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$.
next up previous contents index
Next: weakly hereditarily unicoherent Up: Definitions Previous: weakly chainable
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30