Completion of a Cauchy space without the \(T_2\)-restriction on the space
type: Item
instance of: scholarly article
title: Completion of a Cauchy space without the \(T_2\)-restriction on the space
zbMATH Open document ID: 0960.54017
DOI: 10.1155/S0161171200003331
author: Nandita Rath
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-05-10T00:00:00Z
full work available at URL: https://eudml.org/doc/48722
review text: A Cauchy completion which behaves functorially on a certain class of Cauchy spaces typically requires that all members of the given class be Hausdorff. For instance, the ``Wyler completion'' is the only completion functor on the category of all Hausdorff Cauchy spaces and Cauchy-continuous maps. By appropriately restricting the morphisms to ``\(s\)-maps'', the author obtains a completion functor on a category whose objects include all Cauchy spaces.
reviewed by: Darrell C. Kent
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 1533032
zbMATH Keywords: Cauchy map
zbMATH Keywords: \(s\)-map
zbMATH Keywords: stable completion
zbMATH Keywords: completion in standard form
zbMATH Keywords: regular completion
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1533032