Approach Theory in Merotopic, Cauchy and Convergence Spaces. II

被引：0

作者：

R. Lowen

Yoon Jin Lee

机构：

[1] University of Antwerp,R.U.C.A. Department of Mathematics and Computer Science

[2] Yonsei University,Department of Mathematics

来源：

Acta Mathematica Hungarica | 1999年 / 83卷

关键词：

Approach Theory; Categorical Property; Convergence Space; Cauchy Space; Extended Pseudo;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We define the notions of approach-Cauchy structure and ultra approach-Cauchy structure. We study the categorical properties of ACHY and uACHY and show that in these schemes Cauchy spaces and extended pseudo-(ultra)metric spaces are regarded as entities of the same kind. Furthermore, we investigate the relation with convergence-approach spaces and obtain a relationship similar to that of CONV and CHY.

引用

页码：209 / 229

页数：20

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