一致范畴中的群作用与覆盖映射
Group Actions and Covering Maps in the Uniform Category
摘要：
在均匀范畴中的Rips复形和覆盖（arXiv：0706.3937）中，我们继James之后定义了一致空间的覆盖映射，并引入了广义一致覆盖映射的概念。本文研究了这些覆盖映射何时由群作用诱导。同时，作为我们结果的一个应用，我们给出了Prajs的齐次曲线是路径连通的但不是局部连通的。
英文摘要：
In Rips Complexes and Covers in the Uniform Category (arXiv:0706.3937) we define, following James, covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. In this paper we investigate when these covering maps are induced by group actions. Also, as an application of our results we present an exposition of Prajs' homogeneous curve that is path-connected but not locally connected.
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。
