The Nachbin compactification via convergence ordered spaces

D. C. Kent; Dongmei  Liu

doi:10.1155/S0161171293000791

International Journal of Mathematics and Mathematical Sciences (Jan 1993)

The Nachbin compactification via convergence ordered spaces

D. C. Kent,
Dongmei Liu

Affiliations

D. C. Kent: Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USA
Dongmei Liu: Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USA

DOI: https://doi.org/10.1155/S0161171293000791
Journal volume & issue: Vol. 16, no. 4
pp. 645 – 652

Abstract

Read online

We construct the Nachbin compactification for a T3.5-ordered topological ordered space by tailing a quotient of an ordered convergence space compactification. A variation of this quotient construction leads to a compactification functor on the category of T3.5-ordered convergence ordered spaces.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

About the journal

Abstract

Keywords