Order compatibility for Cauchy spaces and convergence spaces

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 X. Howover, there are two natural ways to derive the former structures from the latter, leading to strong and weak notions of order compatibility for Cauchy...

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Bibliographic Details
Main Authors: D. C. Kent, Reino Vainio
Format: Article
Language:English
Published: Hindawi Limited 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171287000279