On the Nachbin compactification of products of totally ordered spaces

D. C. Kent; Dongmei  Liu; T. A. Richmond

doi:10.1155/S0161171295000858

International Journal of Mathematics and Mathematical Sciences (Jan 1995)

On the Nachbin compactification of products of totally ordered spaces

D. C. Kent,
Dongmei Liu,
T. A. Richmond

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
T. A. Richmond: Department of Mathematics, Western Kentucky University, Bowling Green 42101, Kentucky, USA

DOI: https://doi.org/10.1155/S0161171295000858
Journal volume & issue: Vol. 18, no. 4
pp. 665 – 676

Abstract

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Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.

Published in International Journal of Mathematics and Mathematical Sciences

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

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