一致覆盖映射的逆极限
Inverse Limits of Uniform Covering Maps
摘要：
在“撕裂复形和覆盖的统一范畴”的作者定义，以下詹姆斯，覆盖映射的一致空间，并介绍了概念的广义一致覆盖地图。给出了泛一致覆盖映射和广义一致覆盖映射存在的条件。本文指出，泛广义一致覆盖映射一致等价于一致覆盖映射的逆极限，因而可用一致覆盖映射来逼近.给出了由一致覆盖映射逼近的广义一致覆盖映射的一个特征，以及一致等价于一致覆盖映射的逆极限的广义一致覆盖映射的一个特征.还讨论了诱导广义一致覆盖映射的群作用的逆极限。
英文摘要：
In ``Rips complexes and covers in the uniform category'' the authors define, following James, covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. Conditions for the existence of universal uniform covering maps and generalized uniform covering maps are given. This paper notes that the universal generalized uniform covering map is uniformly equivalent to the inverse limit of uniform covering maps and is therefore approximated by uniform covering maps. A characterization of generalized uniform covering maps that are approximated by uniform covering maps is provided as well as a characterization of generalized uniform covering maps that are uniformly equivalent to the inverse limit of uniform covering maps. Inverse limits of group actions that induce generalized uniform covering maps are also treated.
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。
