A note on Baire spaces and continuous lattices-Reference-Cited by-同舟云学术

A note on Baire spaces and continuous lattices

Published:1980-05 Issue:2 Volume:21 Page:265-279
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Hofmann Karl H.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

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