一致空间可覆盖的一个等价条件
An equivalent condition for a uniform space to be coverable
摘要：
证明了一致空间可覆盖的一个等价条件是基本逆系统中的自然投影的象在某种意义下是一致开的。作为推论，我们（1）得到了求覆盖环境的一种具体方法，（2）纠正了[3]中的一个错误，（3）证明了覆盖环境等价于arXiv：0706.3937意义下的链连通一致可并.
英文摘要：
We prove that an equivalent condition for a uniform space to be coverable is that the images of the natural projections in the fundamental inverse system are uniformly open in a certain sense. As corollaries we (1) obtain a concrete way to find covering entourage, (2) correct an error in [3] and (3) show that coverable is equivalent to chain connected and uniformly joinable in the sense of arXiv:0706.3937.
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。
