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.
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页码：209 / 229
页数：20
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