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International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 2, Pages 209-216
doi:10.1155/S0161171287000279
Order compatibility for Cauchy spaces and convergence spaces
1Department of Pure and Applied Mathematics, Washington State University, Pullman 99164-2930, WA, USA
2Åbo Akademi, Matematiska Institutionen, Fänriksgatan 3, Åbo 50 SF-20500, Finland
Received 28 July 1986
Copyright © 1987 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A Cauchy structure and a preorder on the same set are said to be compatible
if both arise from the same quasi-uniform convergence structure on