| Title:
|
Embeddings of lattices in the lattice of topologies (English) |
| Author:
|
Rosický, Jiří |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
9 |
| Issue:
|
2 |
| Year:
|
1973 |
| Pages:
|
49-56 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06B05 |
| MSC:
|
54A10 |
| idZBL:
|
Zbl 0282.06006 |
| idMR:
|
MR0372803 |
| . |
| Date available:
|
2008-06-05T19:54:05Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104791 |
| . |
| Reference:
|
[1] Fröhlich O.: Das Halbordnungsystem der topologischen Räume auf einer Menge.Math. Annalen 156 (1964), 79-95. MR 0166750 |
| Reference:
|
[2] Herrlich H.: Topologische Reflexionen und Coreflexionen.Lectuгe Notes 78 (Berlin 1968). Zbl 0182.25302, MR 0256332 |
| Reference:
|
[3] Hewitt E.: A problem of set-theoretic topology.Duke Math. Jour. 10 (1943), 309-333. Zbl 0060.39407, MR 0008692 |
| Reference:
|
[4] Kuгatowski K.: Topology.Russian translation, Moscow 1966. |
| Reference:
|
[5] Larson R. E.: Minimum and maximum topological spaces.Bull. Аcad. Pol. Sci. XVIII (1970), 707-710. Zbl 0202.53803, MR 0276914 |
| Reference:
|
[6] Larson R. E., Zimmerman S. J.: The lattice of topologies: A survey.to appeaг. |
| Reference:
|
[7] Ore O.: Theory of equivalence relations.Duke Math. Jour. 9 (1942), 573-627. Zbl 0060.06201, MR 0007388 |
| Reference:
|
[8] Pospíšil B.: Sur le nombre des topologies d'une ensemble donné.Čas. pro pěst. mat. 67 (1938), 100-102. |
| Reference:
|
[9] Rayburn M. C, Jг.: On the lattice of compactifications and the lattice of topologies.Ph. D. dissertation, Univ. of Kentucky, 1969. |
| Reference:
|
[10] Sekanina M.: Sistěmy topologij na dannom množestve.Czech. Math. Jour. T 15 (90), 1965, 9-29. MR 0184193 |
| Reference:
|
[11] Steiner А. K.: The lattice of topologies: Structure and complementation.Trans. Аmer. Math. Soc. 122 (1969), 379-398. MR 0190893 |
| Reference:
|
[12] Szasz G.: Einführung in die Verbandstheorie.Budapest 1962. Zbl 0101.26901, MR 0138567 |
| Reference:
|
[13] Vaidyanathaswamy R.: Treatise on set topology.Madras 1947. Zbl 0031.41602 |
| Reference:
|
[14] Whitman P. M.: Lattices, equivalence relations, and subgroups.Bull. Аmer. Math. Soc. LII (1946), 507-522. Zbl 0060.06505, MR 0016750 |
| . |
