Kowalski, Zbigniew S. The exactness of generalized skew products. (English) Zbl 0787.28012 Osaka J. Math. 30, No. 1, 57-61 (1993). The author studies certain types of skew products of the form \(\widehat T(x,y)= (\sigma(x),\;T_{x(0)}y)\), where \(\sigma: X\to X\) is a discrete endomorphism (defined on \(X\subseteq \{1,\dots,s\}^ N\), preserving \(\mu\)), and \(T_ 1,T_ 2,\dots,T_ s\) are piecewise monotonic and piecewise continuous maps, preserving a Borel measure \(p\) on \([0,1)\) [see the author, Stud. Math. 87, 215-222 (1987; Zbl 0651.28013)]. Using the Pinsker algebra, sufficient conditions for the exactness of \(\widehat T\) are given, together with applications to a particular class of random maps. Reviewer: G.R.Goodson (Towson) Cited in 4 Documents MSC: 28D05 Measure-preserving transformations Keywords:skew products; Borel measure; Pinsker algebra; random maps Citations:Zbl 0651.28013 PDFBibTeX XMLCite \textit{Z. S. Kowalski}, Osaka J. Math. 30, No. 1, 57--61 (1993; Zbl 0787.28012)