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Continuous posets and adjoint sequences. (English) Zbl 0427.06003

MSC:
06A15 Galois correspondences, closure operators (in relation to ordered sets)
18B35 Preorders, orders, domains and lattices (viewed as categories)
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References:
[1] Artin, M., A. Grothendieck, and J. Verdier: Théorie des topos et cohomologie étale des schémas. Springer Lect. Notes in Math. 269 (1972) (rev. ed. of SGA 4, 1962/1963).
[2] Booth, P. I.: Sequences of adjoint functors. Archiv d. Math. (Basel) 23 (1972), 489–493. · Zbl 0249.18008
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[9] Isbell, J. R.: Function spaces and adjoints. Math. Scand. 36 (1975), 317–339. · Zbl 0309.54016
[10] Lawson, J. D.: Continuous semilattices and duality. Memo, Jan. 4, 1977 (distributed to members of SSC).
[11] Mac Lane, S.: Categories for the working mathematician. Springer: Berlin-Heidelberg-New York, 1971. · Zbl 0232.18001
[12] Markowsky, G.: A motivation and generalization of Scott’s notion of a continuous lattice. Preprint. · Zbl 0472.06008
[13] Schubert, H.: Categories. Springer: Berlin-Heidelberg-New York, 1972. · Zbl 0253.18002
[14] Scott, D.: Continuous lattices. In: Proc. Dalhousie conf. on toposes, algebraic geometry and logic, pp. 97–136. Springer Lect. Notes in Math. 274 (1972). · Zbl 0239.54006
[15] SCS (=Seminar on Continuity in (Semi-) lattices): A compendium of continuous lattices, part I. Prepared by K. H. Hofmann, J. Lawson, G. Gierz, K. Keimel. Preliminary version (distributed at the workshop II ”continuous lattices” at TH Darmstadt, July 1978).
[16] Wilson, R. L.: Relationships between continuous posets and compact Lawson posets. Abstract 750-A19, Notices Amer. Math. Soc. 24 (1977), A-628.
[17] Wyler, O.: Dedekind-complete posets and Scott topologies. Memo. April 18, 1977 (distributed to members of SCS). · Zbl 0488.54018
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