## Abstract Preordered topological spaces for which the order has a closed graph form a topological category. Within this category we identify the MacNeille completions (coinciding with the universal initial completions) of five monotopological subcategories, namely those of the __T__~0~(__T__~1~,
A Completion Functor for Ordered Cauchy Spaces
β Scribed by D. C. Kent; R. Vainio
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 548 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
A completion functor is constructed on a completion subcategory of the category of ordered CAUCHY spaces which preserves regularity, total boundedness, and uniformizability. Objects in the completion subcategory include the uniformizoble ordered CAUCHY apacea and the c'-embedded CAUCEY spaces with discrete order.
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