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

Entropy on nonautonomous maps of the {fi}(1=0)(infinity) interval is defined 2 ways. Under one definition, called forward entropy. it is shown that positive entropy implies that the inverse limit space of ({fi}(1=0)(infinity)) contains an indecomposable subcontinuum. Under the second definition, called backwards entropy, it is shown that the inverse limit space of ({f(i)}(1=0)(infinity).I) is not locally connected. (c) 2006 Elsevier B.V. All rights reserved.