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feebly monotone

Let

and

be continua. A mapping $f: X \to Y$$ is said to be feebly monotone provided that if

and

are proper subcontinua of

such that $Y = A \cup B$$ , then their inverse images $f^{-1}(A)$$ and $f^{-1}(B)$$ are connected.

Next: finitely Suslinean Up: Definitions Previous: -equivalent

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