Backward orbits of transitive maps
Backward orbits of transitive maps
复制标题
传递映射的后向轨道
DOI：
10.1080/10236198.2011.559166
复制
发表时间：
2012
影响因子：
1.1
通讯作者：
Peter Malicky
中科院分区：
文献类型：
--
作者：
Peter Malicky
对于由波兰空间 X 和 X 的连续自映射 f 给出的离散动力系统，我们研究具有某些密集后向轨道的所有点的集合。证明了如果f是拓扑传递映射，则它是一个局部具有连续统幂的解析集。在 f 几乎弱开的附加假设下，该集合是残差的。
For a discrete dynamical system given by a Polish space X and a continuous selfmap f of X we investigate the set of all points which have some dense backward orbit. It is proved that if f is a topologically transitive map then is an analytic set which has the continuum power even locally. Under the additional assumption that f is nearly feebly open, the set is residual.