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A note on Baire spaces and continuous lattices

Published online by Cambridge University Press:  17 April 2009

Karl H. Hofmann
Karl H. Hofmann
Affiliation:
Department of Mathematics, Tulane University, New Orleans, Louisiana 70118, USA.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 2 , May 1980 , pp. 265 - 279
Copyright
Copyright © Australian Mathematical Society 1980

References

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