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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