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Completion of a construction of Johnstone. (English) Zbl 0492.06006

MSC:
06B30 Topological lattices
06B23 Complete lattices, completions
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54G20 Counterexamples in general topology
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[1] Gerhard Gierz, Karl Heinrich Hofmann, Klaus Keimel, Jimmie D. Lawson, Michael W. Mislove, and Dana S. Scott, A compendium of continuous lattices, Springer-Verlag, Berlin-New York, 1980. · Zbl 0452.06001
[2] Rudolf-E. Hoffmann, Essentially complete \?\(_{0}\)-spaces, Manuscripta Math. 27 (1979), no. 4, 401 – 432. · Zbl 0418.54020
[3] P. T. Johnstone, Scott is not always sober, Lecture Notes in Math., vol. 871, Springer-Verlag, Berlin and New York, 1981, pp. 282-283. · Zbl 0469.06002
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