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A Completion Functor for Ordered Cauchy Spaces
Author(s) -
Kent D. C.,
Vainio R.
Publication year - 1989
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19891410107
Subject(s) - subcategory , mathematics , functor , pure mathematics , cauchy distribution , mathematical analysis
A completion functor is constructed on a completion subcategory of the category of ordered C AUCHY spaces which preserves regularity, total boundedness, and uniformizability. Objects in the completion subcategory include the uniformizable ordered C AUCHY spaces and the c ‐embedded C AUCHY spaces with discrete order.