| Title:
|
Системы топологий на данном множестве (Russian) |
| Title:
|
Systems of topologies on a given set (English) |
| Author:
|
Sekanina, Milan |
| Language:
|
Russian |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
15 |
| Issue:
|
1 |
| Year:
|
1965 |
| Pages:
|
9-29 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
54.10 |
| idZBL:
|
Zbl 0138.17201 |
| idMR:
|
MR0184193 |
| DOI:
|
10.21136/CMJ.1965.100649 |
| . |
| Date available:
|
2008-06-09T13:23:48Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100649 |
| . |
| Reference:
|
[1] Р. Alexandroff- H. Hopf: Topologie.Berlin 1935. |
| Reference:
|
[2] В. Banaschewski: Über den Ultrafilterraum.Math. Nach. 13 (1955), 273-282. Zbl 0064.41002, MR 0071750, 10.1002/mana.19550130503 |
| Reference:
|
[3] G. Birkhoff: Lattice Theory.Москва 1952 (русский перевод). Zbl 0049.01602 |
| Reference:
|
[4] G. Birkhoff: Rings of sets.Duke Math. Journal 3 (1937), 443-454. Zbl 0017.19403, MR 1546000, 10.1215/S0012-7094-37-00334-X |
| Reference:
|
[5] N. Bourbaki: Topologie générale.p. 1. II. vyd. (Paris (1951). |
| Reference:
|
[6] E. Čech: Topologické prostory.Čas. pro pěst. mat. 67 (1938), D. 225-264. |
| Reference:
|
[7] L. Gillman, M. Jerison: Rings of continuous functions.Princeton 1960. Zbl 0093.30001, MR 0116199 |
| Reference:
|
[8] J. Kelley: General Topology.New York 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
|
[9] K. Koutský, M. Sekanina: On the R-Modification and Several other Modifications of a Topology.Publ. Fac. Sci. Univ. Brno, No 410, 45-64. MR 0176435 |
| Reference:
|
[10] K. Koutský, V. Polák, M. Sekanina: On the Commutativity of the Modifying.Publ. Fac. Sci. Univ. J. E. Purkyně, Brno No. 454, 275-292 (1964). MR 0196696 |
| Reference:
|
[11] K. Koutský: Určenost topologických prostorů pomocí úplných systémů okolí bodů.Spisy přír. fak. MU, č. 374 (1956), 1-11. |
| Reference:
|
[12] H. J. Kowalski: Topologische Räume.Basel und Stuttgart 1960. |
| Reference:
|
[13] К. Kuratowski, A. Mostowski: Teoria mnogosci.Warszawa 1952. |
| Reference:
|
[14] F. Neuman, M. Sekanina: Equivalent Systems of sets.Чех. мат. журнал, печатается. Zbl 0139.40103 |
| Reference:
|
[15] М. Novotný: Über isotone Funktionale geordneter Mengen.Zeitschrift für mat. Logik und Grundlagen der Math., 5 (1959), 9-28. MR 0105375 |
| Reference:
|
[16] B. Pospíšil: Sur le nombre des topologies d'une ensemble donné.Čas. pro pěst. mat. 67 (1938), 100-102. |
| Reference:
|
[17] G. N. Raney: Completely Distributive Complete Lattices.Proc. Am. Math. Soc. 3 (1952), 677-680. Zbl 0049.30304, MR 0052392, 10.1090/S0002-9939-1952-0052392-3 |
| Reference:
|
[18] J. Schmidt: Beiträge zur Filtertheorie I.Math. Nachrichten 7 (1952), 259-378. Zbl 0047.05602, MR 0049975, 10.1002/mana.19520070605 |
| Reference:
|
[19] J. Schmidt: Beiträge zur Filtertheorie II.Math. Nachrichten 10 (1953), 197-232. Zbl 0053.02905, MR 0057946, 10.1002/mana.19530100309 |
| Reference:
|
[20] A. Tarski: Zur Grundlegung der Booleschen Algebra.Fundamenta Mat. 24 (1935), 177-198. Zbl 0011.00203, 10.4064/fm-24-1-177-198 |
| . |
