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ON LATTICES OF CONTINUOUS FUNCTIONS

 

作者: B Banaschewski,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1983)
卷期: Volume 6, issue 1-3  

页码: 1-12

 

ISSN:1607-3606

 

年代: 1983

 

DOI:10.1080/16073606.1983.9632288

 

出版商: Taylor & Francis Group

 

关键词: 54D30;54C30;18B30;Compact Hausdorff space;continuous function;bounded distributive lattice;contravariant functor;dual equivalence

 

数据来源: Taylor

 

摘要:

A detailed study is made of the contravariant functor D which assigns to each compact Hausdorff space X the bounded distributive lattice DX of all functions on X with values in the unit interval, and of some variants of D. In particular, D is shown to have a left inverse, and a duality for compact Hausdorff spaces is derived from D.

 

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