论文标题
可链连续的不均匀性
Inhomogeneities in chainable continua
论文作者
论文摘要
我们研究了一类可链连续的连续图，其中包含由单个间隔键合图产生的所有反向限制空间，该空间是分段单调的，最终在本地上进行的。这样的空间被实现为非纤维表面同构的吸引子。使用键合图的动态属性，我们提供了终点存在的条件，表征了局部不均匀性的集合，并确定何时仅由端点组成。作为侧产品，我们还获得了弧的表征，作为分段单调粘结图的逆极限，这本身就是有趣的。
We study a class of chainable continua which contains, among others, all inverse limit spaces generated by a single interval bonding map which is piecewise monotone and locally eventually onto. Such spaces are realized as attractors of non-hyperbolic surface homeomorphisms. Using dynamical properties of the bonding map, we give conditions for existence of endpoints, characterize the set of local inhomogeneities, and determine when it consists only of endpoints. As a side product we also obtain a characterization of arcs as inverse limits for piecewise monotone bonding maps, which is interesting in its own right.
