Skip to main content
Log in

Continuous posets and adjoint sequences

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

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.

    MATH  MathSciNet  Google Scholar 

  3. Bruns, G.: Darstellungen und Erweiterungen geordneter Mengen I und II. J. f. d. reine angewandte Math. 209 (1962), 167–200, resp., 210 (1962), 1–23.

    MathSciNet  Google Scholar 

  4. Duskin, J. W.: Simplicial methods and the interpretation of “triple” cohomology. Memoirs Amer. Math. Soc. 163 (1975).

  5. Georgescu, G. and B. Lungulescu: Sur les propriétés topologiques des structures ordonnées. Revue Roumaine Math. Pures Appl. 14 (1969), 1453–1456.

    MATH  MathSciNet  Google Scholar 

  6. Hoffmann, R.-E.: Sobrification of partially ordered sets. Semigroup Forum (to appear).

  7. Hoffmann, R.-E.: Projective sober spaces. Preprint.

  8. Hofmann, K. H. and A. R. Stralka: The algebraic theory of compact Lawson semilattices-Applications of Galois connections to compact semilattices. Dissertationes Math. (Rozprawy Mat.) 137 (1976), 1–54.

    MathSciNet  Google Scholar 

  9. Isbell, J. R.: Function spaces and adjoints. Math. Scand. 36 (1975), 317–339.

    MATH  MathSciNet  Google Scholar 

  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.

    MATH  Google Scholar 

  12. Markowsky, G.: A motivation and generalization of Scott's notion of a continuous lattice. Preprint.

  13. Schubert, H.: Categories. Springer: Berlin-Heidelberg-New York, 1972.

    MATH  Google Scholar 

  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).

  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.

    Google Scholar 

  17. Wyler, O.: Dedekind-complete posets and Scott topologies. Memo. April 18, 1977 (distributed to members of SCS).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Karl. H. Hofmann

Dedicated to Prof. Dr. Dr. h.c. Horst Schubert on the occasion of his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hoffmann, RE. Continuous posets and adjoint sequences. Semigroup Forum 18, 173–188 (1979). https://doi.org/10.1007/BF02574184

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02574184

Keywords

Navigation