Paper read at the Symposium on Categorical Algebra and Topology University of Cape Town 29 June—3 July 1981

ON LATTICES OF CONTINUOUS FUNCTIONS

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 1–12

DOI: 10.1080/16073606.1983.9632288

Author(s): B Banaschewski Department of Mathematical Sciences McMaster, Canada

Keywords: 54D30 , 54C30 , 18B30 , 54D30 , 54C30 , 18B30

Abstract

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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