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EPIREFLECTIONS VERSUS BIREFLECTIONS FOR TOPOLOGICAL FUNCTORS

 

作者: Gabriele Castellini,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1985)
卷期: Volume 8, issue 1  

页码: 47-61

 

ISSN:1607-3606

 

年代: 1985

 

DOI:10.1080/16073606.1985.9631900

 

出版商: Taylor & Francis Group

 

关键词: 18A22;22A05

 

数据来源: Taylor

 

摘要:

In this paper it is proved that if T:A→Xis a topological functor satisfying certain conditions, then there is a Galois Connection between the class of bireflective subcategories ofAand the class of epireflective subcategories ofAthat are not bireflective and that are contained in the subcategory of separated objects ofA. In general such a correspondence is not bijective.

 

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