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THE IMPACT OF CLOSURE OPERATORS ON THE STRUCTURE OF A CONCRETE CATEGORY

 

作者: Dikran Dikranjan,   Jan Pelant,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1995）
卷期: Volume 18, issue 4  

页码: 381-396

 

ISSN:1607-3606

 

年代: 1995

 

DOI:10.1080/16073606.1995.9631810

 

出版商: Taylor & Francis Group

 

关键词: 54E15;18B30;54C05;54C30

 

数据来源: Taylor

 

摘要:

We study the question of whether morphisms of a concrete category X can be determined by means of closure operators of X in the sense of [DT]. In particular, we show that closure operators cannot detect uniformly continuous maps in case X is the category of uniform spaces. We have analogous result for proximity spaces and topological modules.

 

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