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References
B. BANASCHEWSKI, Hüllensysteme und Erweiterung von Quasiordnungen. Zeitschr. f. math. Logik und Grund. d. Math. 2 (1956), 117–130
A. DAY, Filter monads, continuous lattices and closure systems. Can. J. Math. 27 (1975), 50–59
M. ERNÉ, Verallgemeinerungen der Verbandstheorie I: Halbgeordnete Mengen und das Prinzip der Vervollständigungsinvarianz. Grüne Reihe Uni Hannover 109 (1980)
—, Topologies on products of partially ordered sets II: Ideal topologies. Algebra Universalis (to appear)
O. FRINK, Ideals in partially ordered sets. Am. Math. Monthly 61 (1954), 223–234
R.-E. HOFFMANN, Continuous posets and adjoint sequences. Semigroup Forum 18 (1979), 173–188
—, Projective sober spaces. (Preprint 1979). These Proceedings
—, Continuous posets, prime spectra of completely distributive complete lattices and Hausdorff compactifications. These Proceedings
K.H. HOFMANN and A. STRALKA, The algebraic theory of compact Lawson semilattices-Applications of Galois connections to compact semilattices. Dissert. Math. 137 (1976), 1–58
J.D. LAWSON, The duality of continuous posets. Houston J. Math. (to appear)
G. MARKOWSKY, A motivation and generalization of Scott's notion of a continuous lattice. (Preprint 1977). These Proceedings
G.N. RANEY, A subdirect-union representation for completely distributive complete lattices. Proc. AMS 4 (1953), 518–522
J. ROSICKÝ, On a characterization of the lattice of m-ideals of an ordered set. Arch. Math. (Brno) 8 (1972/3), 137–142
G. GIERZ, K.H. HOFMANN et alii, A compendium of continuous lattices (to appear)
R.L. WILSON, Intrinsic topologies on partially ordered sets and results on compact semigroups. University of Tennessee Diss. 1978
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© 1981 Springer-Verlag
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Erné, M. (1981). A completion - invariant extension of the concept of continuous lattices. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089903
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DOI: https://doi.org/10.1007/BFb0089903
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