科研之友
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摘要
Let f : X -%26gt; X be a map of a continuum. In this paper we examine the following dynamical conditions on f : (1) f is continuum-wise fully expansive; (2) f is weakly continuum-wise fully expansive; (3) f is mixing; (4) f is weakly mixing. We first show that (1) implies (2), (2) implies (3) and (3) implies (4). Then we investigate what topological conditions will force the reverse implications to hold and give examples of when the reverse conditions do not hold. In particular, a map of the universal dendrite is given that is weakly mixing but not mixing.
- 出版日期2014-12
