论文标题
在斯托尔滕贝格的准统一完成
On Stoltenberg's quasi-uniform completion
论文作者
论文摘要
在本文中，我们为准均匀的空间提供了新的完成，该空间概括了Doitchinov [8]和Stoltenberg [20]的完成理论。提出的完成理论非常良好，并以自然的方式扩展了统一空间的完成理论。也就是说，在统一空间的情况下，Cauchy Net的定义与经典的构造完成。该完成理论的主要贡献是网络切割的概念，它概括了Doitchinov的概念，以构想cauchy Net的概念[1]
In this paper, we give a new completion for quasi-uniform spaces which generalizes the completion theories of Doitchinov [8] and Stoltenberg [20]. The presented completion theory is very well-behaved and extends the completion theory of uniform spaces in a natural way. That is, the definition of Cauchy net and the constructed completion coincide with the classical in the case of uniform spaces. The main contribution this completion theory makes is the notion of the cut of nets which generalize the idea of Doitchinov for the notion of-Cauchy net [1]
