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ON CERTAIN INITIAL COMPLETIONS IN FUZZY TOPOLOGY

 

作者: ArunK. Srivastava,   Alka Choubey,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1999）
卷期: Volume 22, issue 2  

页码: 203-207

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632075

 

出版商: Taylor & Francis Group

 

关键词: 54A40;04A72;Initial completion;Macneille completion;universal initial completion;zero-dimensional fuzzy topological space;fuzzy closure space;fuzzy bitopological space;T1-fuzzy topological space;R0-fuzzy topological space

 

数据来源: Taylor

 

摘要:

Following a lead given by I.W. Alderton, it is shown that the MacNeille completion and the universal initial completion coincide for the categories of zero-dimensional fuzzy T0-topological spaces, T0-fuzzy closure spaces, 2T0-fuzzy bitopological spaces, andT1-fuzzy topological spaces and that these turn out to be respectively the categories of zero-dimensional fuzzy topological spaces, fuzzy closure spaces, fussy bitopological spaces, and fuzzyR0topological spaces.

 

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