具有稠密自由区间的连续统上的极小集
Minimal sets on continua with a dense free interval
摘要：
我们研究具有稠密自由区间$J$和局部连通余项的连续统$X$上的极小集。这类连续统包括重要的空间，如拓扑学家的正弦曲线或华沙圆。在余项上的极小集已知且余项连通的情况下，我们得到了极小集拓扑结构的一个充分刻画。特别地，当$X\setminus J$是局部枝晶时，给出了$X$上极小集的完整刻画.
英文摘要：
We study minimal sets on continua $X$ with a dense free interval $J$ and a locally connected remainder. This class of continua includes important spaces such as the topologist's sine curve or the Warsaw circle. In the case when minimal sets on the remainder are known and the remainder is connected, we obtain a full characterization of the topological structure of minimal sets. In particular, a full characterization of minimal sets on $X$ is given in the case when $X\setminus J$ is a local dendrite.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
