Non Archimedean metric induced fuzzy uniform spaces
type: Item
instance of: scholarly article
title: Non Archimedean metric induced fuzzy uniform spaces
zbMATH Open document ID: 0684.54018
DOI: 10.1155/S0161171289000062
author: P. Wuyts
author: Robert Lowen
author: Arun K. Srivastava
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46418
review text: The category of non-Archimedean metric spaces with non-expansive maps is embedded as a coreflective, non-bireflective subcategory of the fuzzy uniform spaces. Relations between the original metric space and its image are established for compactness, total boundedness, and completeness. The image of the completion is isomorphic to the ultracompletion of the image with the isomorphism described explicitly.
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 46S10
zbMATH DE Number: 4121000
zbMATH Keywords: non-Archimedean metric spaces
zbMATH Keywords: non-expansive maps
zbMATH Keywords: coreflective, non- bireflective subcategory
zbMATH Keywords: fuzzy uniform spaces
zbMATH Keywords: compactness
zbMATH Keywords: total boundedness
zbMATH Keywords: completeness
zbMATH Keywords: ultracompletion
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4121000