Approach theory in merotopic, Cauchy and convergence spaces. II
type: Item
instance of: scholarly article
title: Approach theory in merotopic, Cauchy and convergence spaces. II
zbMATH Open document ID: 0924.54014
DOI: 10.1023/A:1006769006149
published in: Acta Mathematica Hungarica
publication date: 1999-10-31T00:00:00Z
review text: The authors continue the study of Part I [ibid., 189-207 (1999; Zbl 0924.54013), see the review above]. They introduce the notion of approach-Cauchy structure and show that the category ACHY of approach-Cauchy spaces is a topological construct which is bireflectively embedded in AFIL. By strengthening the condition (ACHY) the authors define the concept of ultra approach-Cauchy structure and show that the category of ultra approach-Cauchy spaces is a Cartesian closed topological category which can be nicely embedded in the category ACHY.
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 1355018
zbMATH Keywords: approach-Cauchy structure
zbMATH Keywords: ultra approach-Cauchy structure
author: Robert Lowen
author: Yoonjin Lee
reviewed by: I. D. Albu
MaRDI profile type: Publication
full work available at URL: a:1006769006149
OpenAlex ID: W1829191675
description: scientific article; zbMATH DE number 1355018