next up previous contents index
Next: regular Up: Definitions Previous: recurrent point of

refinable (monotonely)

A map r$ from a compact metric space X$ onto a compact metric space Y$ is (monotonely) refinable if, for each positive number \varepsilon$, there is a (monotone) \varepsilon$-map f$ from X$ onto Y$ such that, for each x$ in X$,

\displaystyle d\( f\( x\) r\( x\) \) SPMlt; \varepsilon .
$


next up previous contents index
Next: regular Up: Definitions Previous: recurrent point of
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30