Positive entropy on nonautonomous interval maps and the topology of the inverse limit space (Q869677)

Entropy of nonautonomous maps, i.e. of sequences \(\{f_i\}_{i=0}^{\infty}\) of the interval is defined on two ways. Under one definition, called forward entropy, it is shown that positive entropy implies that the inverse limit space contains an indecomposable subcontinuum. Under the second definition, called backwards entropy, it is shown that the inverse limit space is not locally connected.