ON THE COMPLETION OF NEARNESS FRAMES
作者:
B. Banaschewski,
S.S. Hong,
A. Pultr,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1998)
卷期:
Volume 21,
issue 1-2
页码: 19-37
ISSN:1607-3606
年代: 1998
DOI:10.1080/16073606.1998.9632023
出版商: Taylor & Francis Group
关键词: 06B99;54E17;54H99
数据来源: Taylor
摘要:
Several questions naturally arising from the unique existence of the completion of a nearness frame are investigated. In particular, the classical result that completion is a coreflection for uniform frames is extended to a substantially larger class of nearness frames but at the same time shown not to hold in general, and an analogue of this is established for the mere functoriality of the completion. Further, a natural variant of the notion of completion is studied, leading among other things to a completely new coreflection result.
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