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Volumn 23, Issue 4, 2006, Pages 359-369

Quasicontinuity of posets via Scott topology and sobrification

Author keywords

Directed completion; Meet continuous poset; Quasicontinuous poset; Scott topology; Sobrification

Indexed keywords


EID: 33847350543     PISSN: 01678094     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11083-007-9054-4     Document Type: Article
Times cited : (37)

References (14)
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    • Gierz, G.1    Lawson, J.D.2
  • 3
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    • Gierz, G., Lawson, J.D., Stralka, A.: Quasicontinuous posets. Houst. J. Math. 9, 191-208 (1983)
    • Gierz, G., Lawson, J.D., Stralka, A.: Quasicontinuous posets. Houst. J. Math. 9, 191-208 (1983)
  • 5
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    • An upper power domain construction in terms of strongly compact sets
    • Springer, Berlin Heidelberg New York
    • Heckmann, R.: An upper power domain construction in terms of strongly compact sets. In: Lecture Notes in Computer Science, vol. 598, pp. 272-293. Springer, Berlin Heidelberg New York (1992)
    • (1992) Lecture Notes in Computer Science , vol.598 , pp. 272-293
    • Heckmann, R.1
  • 6
    • 0042888008 scopus 로고
    • Scott is not always sober
    • Banaschewski, B, Hoffmann, R.E, eds, Continuous Lattices, Proc. Conf. Bremen, Springer, Berlin Heidelberg New York
    • Johnstone, P.T.: Scott is not always sober. In: Banaschewski, B., Hoffmann, R.E. (eds.) Continuous Lattices, Proc. Conf. Bremen 1979. Lecture Notes in Mathematics, vol. 871, pp. 282-283. Springer, Berlin Heidelberg New York (1981)
    • (1979) Lecture Notes in Mathematics , vol.871 , pp. 282-283
    • Johnstone, P.T.1
  • 7
    • 33847358801 scopus 로고    scopus 로고
    • On meet-continuous dcpos
    • Zhang, G.Q, Lawson, J, Liu, Y.M, Luo, M.K, eds, Kluwer, Boston, MA
    • Kou, H., Liu, Y.M., Luo, M.K.: On meet-continuous dcpos. In: Zhang, G.Q., Lawson, J., Liu, Y.M., Luo, M.K. (eds.) Domain Theory, Logic and Computation, pp. 137-149. Kluwer, Boston, MA (2003)
    • (2003) Domain Theory, Logic and Computation , pp. 137-149
    • Kou, H.1    Liu, Y.M.2    Luo, M.K.3
  • 8
    • 33847396608 scopus 로고    scopus 로고
    • Lawson, J.D.: The duality of continuous posets. Houst. J. Math. 5(3), 357-386 (1979)
    • Lawson, J.D.: The duality of continuous posets. Houst. J. Math. 5(3), 357-386 (1979)
  • 9
    • 1842459869 scopus 로고    scopus 로고
    • The round ideal completion via sobrification
    • Lawson, J.D.: The round ideal completion via sobrification. Topol. Proc. 22, 261-274 (1997)
    • (1997) Topol. Proc , vol.22 , pp. 261-274
    • Lawson, J.D.1
  • 10
    • 0042104308 scopus 로고    scopus 로고
    • Lawson, J.D.: The upper interval topology, property M and compactness. Electronic Notes in Theor. Comp. Sci. 13 (1998)
    • Lawson, J.D.: The upper interval topology, property M and compactness. Electronic Notes in Theor. Comp. Sci. 13 (1998)
  • 11
    • 2442427649 scopus 로고    scopus 로고
    • Posets having continuous intervals
    • Lawson, J.D., Xu, L.S.: Posets having continuous intervals. Theor. Comp. Sci. 316, 89-103 (2004)
    • (2004) Theor. Comp. Sci , vol.316 , pp. 89-103
    • Lawson, J.D.1    Xu, L.S.2
  • 12
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    • Xu, L.S.: Consistently continuous posets and their directed completions. J. of Yangzhou University (Nature Science Edition), 3(1), 1-6 (2000) (in Chinese)
    • Xu, L.S.: Consistently continuous posets and their directed completions. J. of Yangzhou University (Nature Science Edition), 3(1), 1-6 (2000) (in Chinese)
  • 13
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    • Xu, L.S.: Continuity of posets via Scott topology and sobrification. Topol. Its Appl. 153, 1886-1894 (2006)
    • Xu, L.S.: Continuity of posets via Scott topology and sobrification. Topol. Its Appl. 153, 1886-1894 (2006)
  • 14
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    • Xu, X.Q., Liu, Y.M.: The Scott topology and Lawson topology on a Z-quasicontinuous domain. Chin. Ann. Math. 24A(3), 365-376 (2003) (in Chinese)
    • Xu, X.Q., Liu, Y.M.: The Scott topology and Lawson topology on a Z-quasicontinuous domain. Chin. Ann. Math. 24A(3), 365-376 (2003) (in Chinese)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.