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induced mapping

Let f: X \to Y$ be a mapping between continua. Then the induced mapping C(f): C(X) \to C(Y)$ is defined by C(f)(A) =
f(A)$, where A$ in the left member of the equality means an element of C(X)$, while in the right one it is understood as a subcontinuum of X$ (see [Nadler 1978, (0.49), p. 23]).
next up previous contents index
Next: inverse limit Up: Definitions Previous: indecomposable
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30