| Title:
|
Compact pospaces (English) |
| Author:
|
Menon, Venu G. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
741-744 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized. (English) |
| Keyword:
|
compact pospace |
| Keyword:
|
property DINT |
| Keyword:
|
quasicontinuous posets |
| Keyword:
|
GCD posets |
| Keyword:
|
interval topology |
| MSC:
|
06A11 |
| MSC:
|
06B30 |
| MSC:
|
06B35 |
| MSC:
|
54F05 |
| idZBL:
|
Zbl 1098.06004 |
| idMR:
|
MR2062890 |
| . |
| Date available:
|
2009-01-08T19:32:38Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119428 |
| . |
| Reference:
|
[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. Zbl 0452.06001, MR 0614752 |
| Reference:
|
[2] Gierz G., Lawson J.D.: Generalized continuous and hypercontinuous lattices.Rocky Mountain J. Math. 11 (1981), 271-296. Zbl 0472.06014, MR 0619676 |
| Reference:
|
[3] Gierz G., Lawson J.D., Stralka A.: Quasicontinuous posets.Houston J. Math 9 (1983), 191-208. Zbl 0529.06002, MR 0703268 |
| Reference:
|
[4] Lawson J.D.: The upper interval topology, property M, and compactness.Electronic Notes in Theoret. Comput. Sci. 13 (1998). MR 1677497 |
| Reference:
|
[5] Raney G.N.: A subdirect-union representation for completely distributive complete latices.Proc. Amer. Math Soc. 4 (1953), 518-522. MR 0058568 |
| Reference:
|
[6] Rudin M.E.: Directed sets which converge.Proc. Riverside Symposium on Topology and Modern Analysis, 1980, pp.305-307. Zbl 0457.04007, MR 0619055 |
| Reference:
|
[7] Venugopalan P.: A generalization of completely distributive lattices.Algebra Universalis 27 (1990), 578-586. Zbl 0722.06003, MR 1387903 |
| . |
