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Volumn 50, Issue 2, 2009, Pages 297-314

Lattices of Scott-closed sets

Author keywords

C algebraic lattice; C continuous lattice; Complete semilattice; Domain; Scott closed set

Indexed keywords


EID: 77950792654     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (26)
  • 2
    • 0001847686 scopus 로고
    • Domain Theory
    • S. Abramsky, D.M. Gabbay, T.S.E. Maibaum, Eds., Clarendon Press, New York
    • Abramsky S., Jung A., Domain Theory, in Handbook of Logic in Computer Science, vol. 3, S. Abramsky, D.M. Gabbay, T.S.E. Maibaum, Eds., Clarendon Press, New York, 1994, pp. 1-168
    • (1994) In Handbook of Logic in Computer Science , vol.3 , pp. 1-168
    • Abramsky, S.1    Jung, A.2
  • 3
    • 0010982135 scopus 로고
    • On the topologies of injective spaces
    • (Bremen 1982), Lecture Notes in Pure and Appl. Math., 101, Dekker, New York
    • Banaschewski B., On the topologies of injective spaces, Continuous Lattices and their Ap-plications (Bremen, 1982), Lecture Notes in Pure and Appl. Math., 101, Dekker, New York, 1985, pp. 1-8
    • (1985) Continuous Lattices and their Ap-plications , pp. 1-8
    • Banaschewski, B.1
  • 5
    • 37349003648 scopus 로고    scopus 로고
    • Injective locales over perfect embeddings and algebras of the upper power-locale monad
    • Escardó M.H., Injective locales over perfect embeddings and algebras of the upper power-locale monad, Appl. Gen. Topol. 4 (2003), no. 1, 193-200
    • (2003) Appl. Gen. Topol , vol.4 , Issue.1 , pp. 193-200
    • Escardó, M.H.1
  • 8
    • 0040119320 scopus 로고
    • Lower and upper power domain constructions commute on all cpos
    • Heckmann R., Lower and upper power domain constructions commute on all cpos, Inform. Process. Lett. 40 (1991), no. 1, 7-11
    • (1991) Inform. Process. Lett , vol.40 , Issue.1 , pp. 7-11
    • Heckmann, R.1
  • 9
    • 85068265022 scopus 로고    scopus 로고
    • Master Thesis, Nanyang Technological University
    • W.K. Ho, Theory of Frames, Master Thesis, Nanyang Technological University, 2002
    • (2002) Theory of Frames
    • Ho, W.K.1
  • 10
    • 0347651577 scopus 로고
    • Continuous posets, prime spectra of completely distributive lattices and Hausdorff compactification, in Continuous Lattices
    • Springer, Berlin-Heidelberg
    • Hoffmann R.E., Continuous posets, prime spectra of completely distributive lattices, and Hausdorff compactification, in Continuous Lattices, Lecture Notes in Mathematics, 871, Springer, Berlin-Heidelberg, 1981, pp. 159-208
    • (1981) Lecture Notes in Mathematics, 871 , pp. 159-208
    • Hoffmann, R.E.1
  • 11
    • 84966252145 scopus 로고
    • Completion of a construction of Johnstone
    • Isbell J.R., Completion of a construction of Johnstone, Proc. Amer. Math. Soc. 85 (1982), 333-334
    • (1982) Proc. Amer. Math. Soc , vol.85 , pp. 333-334
    • Isbell, J.R.1
  • 12
    • 0042888008 scopus 로고
    • Scott is not always sober
    • Lecture Notes in Math-ematics, 871, Springer, Berlin-Heidelberg
    • Johnstone P.T., Scott is not always sober, in Continuous Lattices, Lecture Notes in Math-ematics, 871, Springer, Berlin-Heidelberg, 1981, pp. 282-283
    • (1981) In Continuous Lattices , pp. 282-283
    • Johnstone, P.T.1
  • 13
    • 0004072372 scopus 로고
    • Cambridge Studies in Advanced Mathematics, 3, Cambridge University Press, Cambridge
    • Johnstone P.T., Stone Spaces, Cambridge Studies in Advanced Mathematics, 3, Cambridge University Press, Cambridge, 1982
    • (1982) Stone Spaces
    • Johnstone, P.T.1
  • 14
    • 0002083775 scopus 로고
    • Monads for which structures are adjoint to units
    • Kock A., Monads for which structures are adjoint to units, J. Pure Appl. Algebra 104 (1995), no. 1, 41-59
    • (1995) J. Pure Appl. Algebra , vol.104 , Issue.1 , pp. 41-59
    • Kock, A.1
  • 15
    • 0009349851 scopus 로고
    • The duality of continuous posets
    • Lawson J., The duality of continuous posets, Houston J. Math. 5 (1979), 357-394
    • (1979) Houston J. Math , vol.5 , pp. 357-394
    • Lawson, J.1
  • 17
    • 0038479890 scopus 로고    scopus 로고
    • Local DCPOs
    • Electron. Notes Theor. Comput. Sci., 20, Elsevier, Amsterdam
    • Mislove M.W., Local DCPOs, local CPOs and local completions, Electron. Notes Theor. Comput. Sci., 20, Elsevier, Amsterdam, 1999, pp. 287-300
    • (1999) Local CPOs and local completions , pp. 287-300
    • Mislove, M.W.1
  • 18
    • 0043228794 scopus 로고
    • Which distributive lattices are lattices of closed sets
    • Papert S., Which distributive lattices are lattices of closed sets, Proc. Cambridge Philos. Soc. 55 (1959), 172-176
    • (1959) Proc. Cambridge Philos. Soc , vol.55 , pp. 172-176
    • Papert, S.1
  • 19
    • 84968467392 scopus 로고
    • Completely distributive complete lattices
    • Raney G.N., Completely distributive complete lattices, Proc. Amer. Math. Soc. 3 (1952), 667-680
    • (1952) Proc. Amer. Math. Soc , vol.3 , pp. 667-680
    • Raney, G.N.1
  • 20
    • 0000889413 scopus 로고
    • Data types as lattices
    • Scott D., Data types as lattices, SIAM J. Comput. 5 (1976), no. 3, 522-587
    • (1976) SIAM J. Comput , vol.5 , Issue.3 , pp. 522-587
    • Scott, D.1
  • 22
    • 84956987647 scopus 로고
    • in Handbook of Logic in Computer Science, vol. 1, Oxford University Press, New York
    • Smyth M.B., Topology, in Handbook of Logic in Computer Science, vol. 1, Oxford University Press, New York, 1992
    • (1992) Topology
    • Smyth, M.B.1
  • 23
    • 28044458418 scopus 로고
    • Union-complete subset systems
    • Venugopalan G., Union-complete subset systems, Houston J. Math. 14 (1988), 583-600
    • (1988) Houston J. Math , vol.14 , pp. 583-600
    • Venugopalan, G.1
  • 24
    • 0003923505 scopus 로고
    • Cambridge University Press, Cambridge
    • Vickers S.J., Topology via Logic, Cambridge University Press, Cambridge, 1989
    • (1989) Topology via Logic
    • Vickers, S.J.1
  • 25
    • 45949113218 scopus 로고
    • N-compactness in L-fuzzy topological spaces
    • Zhao D., N-compactness in L-fuzzy topological spaces, J. Math. Anal. Appl. 128 (1987), 64-79
    • (1987) J. Math. Anal. Appl , vol.128 , pp. 64-79
    • Zhao, D.1
  • 26
    • 0031093391 scopus 로고    scopus 로고
    • On projective Z-frames
    • Zhao D., On projective Z-frames, Canad. Math. Bull. 40 (1997), no. 1, 39-46
    • (1997) Canad. Math. Bull , vol.40 , Issue.1 , pp. 39-46
    • Zhao, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.