Hoffmann, Rudolf-E. Continuous posets, prime spectra of completely distributive complete lattices, and Hausdorff compactifications. (English) Zbl 0476.06005 Continuous lattices, Proc. Conf., Bremen 1979, Lect. Notes Math. 871, 159-208 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 06A06 Partial orders, general 06D10 Complete distributivity 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) 06B30 Topological lattices 54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.) 54H12 Topological lattices, etc. (topological aspects) Keywords:continuous posets; Scott topology; join-prime spectra; completely distributive lattices; sober spaces; lattice of open subsets; continuous semilattices; Hausdorff compactifications; injective hull; sobrification space Citations:Zbl 0452.00011; Zbl 0098.027; Zbl 0049.303; Zbl 0402.54035; Zbl 0428.06003; Zbl 0413.54001; Zbl 0060.400 PDF BibTeX XML OpenURL