International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 24, Pages 4019-4027
doi:10.1155/IJMMS.2005.4019

Completions of non-T2 filter spaces

Nandita Rath

School of Mathematics and Statistics, University of Western Australia, Nedlands 6907, WA, Australia

Abstract

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.