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THE FORGETFUL FUNCTOR Cont → Prox IS TOPOLOGICAL

 

作者: H.L. Bentley,   H. Herrlich,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1977)
卷期: Volume 2, issue 1-3  

页码: 45-57

 

ISSN:1607-3606

 

年代: 1977

 

DOI:10.1080/16073606.1977.9632533

 

出版商: Taylor & Francis Group

 

关键词: 54E05;54E15;54D35;18A99

 

数据来源: Taylor

 

摘要:

It is shown that the forgetful functor from the category of contiguity spaces to the category of generalized proximity spaces is topological, and that the right adjoint right inverse of this functor extends the inverse of the forgetful functor from the category of totally bounded uniform spaces to the category of proximity spaces.

 

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