Article
Full entry |
PDF
(0.1 MB)
Feedback
PDF
(0.1 MB)
Feedback
Keywords:
compact pospace; property DINT; quasicontinuous posets; GCD posets; interval topology
compact pospace; property DINT; quasicontinuous posets; GCD posets; interval topology
Summary:
Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
References:
[1] Gierz G., Hofmann K.H., Keimel K., Lawson J.D., Mislove M., Scott D.S.: A Compendium of Continuous Lattices. Springer-Verlag, Berlin, Heidelberg, and New York, 1980. MR 0614752 | Zbl 0452.06001
[2] Gierz G., Lawson J.D.: Generalized continuous and hypercontinuous lattices. Rocky Mountain J. Math. 11 (1981), 271-296. MR 0619676 | Zbl 0472.06014
[3] Gierz G., Lawson J.D., Stralka A.: Quasicontinuous posets. Houston J. Math 9 (1983), 191-208. MR 0703268 | Zbl 0529.06002
[4] Lawson J.D.: The upper interval topology, property M, and compactness. Electronic Notes in Theoret. Comput. Sci. 13 (1998). MR 1677497
[5] Raney G.N.: A subdirect-union representation for completely distributive complete latices. Proc. Amer. Math Soc. 4 (1953), 518-522. MR 0058568
[6] Rudin M.E.: Directed sets which converge. Proc. Riverside Symposium on Topology and Modern Analysis, 1980, pp.305-307. MR 0619055 | Zbl 0457.04007
[7] Venugopalan P.: A generalization of completely distributive lattices. Algebra Universalis 27 (1990), 578-586. MR 1387903 | Zbl 0722.06003
Search
Partner of
