Metrizable completely distributive lattices

Commentationes Mathematicae Universitatis Carolinae

Volumn 38, Issue 1, 1997, Pages 137-148

  De Xue, Zhang ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

ANR; AR; Completely distributive lattice; Interval topology

Indexed keywords

EID: 0008068111     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Engelking R., General Topology, PWN, 1977
2. Gierz G. et al., A Compendium of Continuous Lattices, Springer-Verlag, 1980
3. van Gool F., Lower semicontinuous functions with values in a continuous lattice, Comment. Math. Univ. Carolinae 33 (1992), 505-523
4. Hu S.T., Theory of Retracts, Wayne State University Press, 1965
5. Johnstone P.T., Stone Spaces, Cambridge University Press, 1982
6. Katětov M., On real-valued functions in topological spaces, Fund. Math. 38 (1951), 85-91; Correction in Fund. Math. 40 (1953), 203-205
7. Liu Ying-Ming et al., Topological and analytic characterizations of completely distributive law, Sci. Bull. 35 (1990), 1223-1226
8. Liu Ying-Ming, Luo Mao-Kang, Lattice-valued Hahn-Diedonne-Tong insertion theorem and stratification structure, Topology Appl. 45 (1992), 173-188
9. Steen L.A., Seebach J.A., Jr., Counterexamples in topology, second edition, Springer-Verlag, 1978
10. Tong H., Some characterizations of normal and perfectly normal spaces, Duke Math. J. 19 (1952), 289-292
11. Xu Luo-Shan, Research on lattice and topology, PhD. Dissertation of Sichuan University, 1992
12. Zhang De-Xue, Continuous lattices and spaces of semicontinuous functions, preprint