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A note on Baire spaces and continuous lattices
Published online by Cambridge University Press: 17 April 2009
Abstract
We prove a Baire category theorem for continuous lattices and derive category theorems for non-Hausdorff spaces which imply a category theorem of Isbell's and have applications to the spectral theory of C*-algebras. The same lattice theoretical methods yield a proof of de Groot's category theorem for regular subcompact spaces.
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- Research Article
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- Copyright © Australian Mathematical Society 1980
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