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Compactification and Closure

 

作者: David Holgate,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 2000）
卷期: Volume 23, issue 4  

页码: 529-545

 

ISSN:1607-3606

 

年代: 2000

 

DOI:10.2989/16073600009485996

 

出版商: Taylor & Francis Group

 

关键词: CLOSURE OPERATOR;COMPACTIFICATION;COMPLETION;FACTORISATION STRUCTURE;REFLECTION

 

数据来源: Taylor

 

摘要:

A topological spaceXis compact iff for any other spaceY, the projection mapπY:X×Y→Yis closed. Previous authors have used this characterisation, and the theory of categorical closure operators, to study compactness in a general setting.

 

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