A correction and some additions to: “Reparametrization of $n$-flows of zero entropy” [Trans. Amer. Math. Soc. 256 (1979), 289–304; MR 81h:28012]

Abstract:

In addition to correcting an error in the previously mentioned paper, we show that if $\upsilon \mapsto {\varphi _w}$ and $w \mapsto {\Psi _\sigma }$ on $X$ and $Y$ are $n$- and $m$-flows, respectively, then the $(n + m)$-flow $(\upsilon ,w) \mapsto {\varphi _\upsilon } \times {\Psi _w}$ on $X \times Y$ is "loosely Kronecker" if and only if $\varphi$ and $\Psi$ are.