Completion of a construction of Johnstone
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- by John Isbell PDF
- Proc. Amer. Math. Soc. 85 (1982), 333-334 Request permission
Abstract:
A complete lattice is constructed which is not sober in the Scott topology.References
- 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. MR 614752
- Rudolf-E. Hoffmann, Essentially complete $T_{0}$-spaces, Manuscripta Math. 27 (1979), no. 4, 401–432. MR 534803, DOI 10.1007/BF01507294 P. T. Johnstone, Scott is not always sober, Lecture Notes in Math., vol. 871, Springer-Verlag, Berlin and New York, 1981, pp. 282-283.
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 333-334
- MSC: Primary 06B30; Secondary 54F05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0656096-4
- MathSciNet review: 656096