Pseudo-topological Riesz spaces

Pseudo-topological spaces (i.e. limit spaces) were defined by Fischer in 1959. Properties of topological Riesz spaces are well-known. In this paper it is shown that if the topology on a Riesz space is replaced by a pseudo-topology more general results are obtained.

Bibliographic Details
Main Author: M. A. Muller
Format: Article
Language:Afrikaans
Published: South African Journal of Science and Technology 1997-07-01
Series:South African Journal of Science and Technology
Online Access:http://www.satnt.ac.za/index.php/satnt/article/view/679
Description
Summary:Pseudo-topological spaces (i.e. limit spaces) were defined by Fischer in 1959. Properties of topological Riesz spaces are well-known. In this paper it is shown that if the topology on a Riesz space is replaced by a pseudo-topology more general results are obtained.
ISSN:0254-3486
2222-4173