自然扩充的某些关于熵和乘积的动力学性质(英文)

Some dynamical properties via entropy and product for nature extensions

主要研究了自然扩充中,熵对、极大零熵因子、一致正熵和完全正熵等与熵有关的动力学性质,以及不交性和弱不交性等与乘积有关的动力学性质.应用这些性质,构造了自身和其自然扩充之间具有严格的中间因子的极小拓扑动力系统.

For nature extensions,some dynamical properties via entropy such as entropy pairs,maximal zero entropy factor,u.p.e. and c.p.e. were studied,and some product properties via weak disjointness and disjointness were also studied. By applying these properties,a minimal TDS which has an extension strictly between itself and its nature extension was provided.