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Extremal Prime Filters and Universality of Some Categories

 

作者: A. Pultr,   J. Slchler,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1996）
卷期: Volume 19, issue 1-2  

页码: 7-17

 

ISSN:1607-3606

 

年代: 1996

 

DOI:10.1080/16073606.1996.9631822

 

出版商: Taylor & Francis Group

 

关键词: 18A22;18B30;54C10;06D99;frame;locale;universal category;Priestley space

 

数据来源: Taylor

 

摘要:

Due to the existence of constants, classical topological categories cannot be universal in the sense of containing each concrete category as a full subcategory. In the point-free case, this obstruction vanishes and the question of universality makes sense again. The main problem, namely that as to whether the category of locales and localic morphisms is universal is still open; we prove, however, the universality of the following categories:

 

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