Let C r ((0; 1]) denote the metric space of C r self-maps of 0; 1] and C s;r ((0; 1]) denote the metric space of C s families of maps in C r ((0; 1]) with the parameter space 0; 1]. Let Hs;r be the… (More)

We study a generic piecewise monotone map f : [0, 1] → [0, 1] with a particular type of entropy-carrying set X. We show under certain conditions that maps sufficiently C-close to f with more… (More)