Completions of non-T2 filter spaces

The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.

Bibliographic Details
Main Author: Nandita Rath
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.4019
Description
Summary:The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.
ISSN:0161-1712
1687-0425