Systems of topologies on a given set

Milan Sekanina

Czechoslovak Mathematical Journal (1965)

  • Volume: 15, Issue: 1, page 9-29
  • ISSN: 0011-4642

How to cite

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Sekanina, Milan. "Системы топологий на данном множестве." Czechoslovak Mathematical Journal 15.1 (1965): 9-29. <http://eudml.org/doc/12245>.

@article{Sekanina1965,
author = {Sekanina, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {topology},
language = {rus},
number = {1},
pages = {9-29},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Системы топологий на данном множестве},
url = {http://eudml.org/doc/12245},
volume = {15},
year = {1965},
}

TY - JOUR
AU - Sekanina, Milan
TI - Системы топологий на данном множестве
JO - Czechoslovak Mathematical Journal
PY - 1965
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 1
SP - 9
EP - 29
LA - rus
KW - topology
UR - http://eudml.org/doc/12245
ER -

References

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  1. Р. Alexandroff- H. Hopf, Topologie, Berlin 1935. (1935) 
  2. В. Banaschewski, 10.1002/mana.19550130503, Math. Nach. 13 (1955), 273-282. (1955) Zbl0064.41002MR0071750DOI10.1002/mana.19550130503
  3. G. Birkhoff, Lattice Theory, Москва 1952 (русский перевод). (1952) Zbl0049.01602
  4. G. Birkhoff, 10.1215/S0012-7094-37-00334-X, Duke Math. Journal 3 (1937), 443-454. (1937) Zbl0017.19403MR1546000DOI10.1215/S0012-7094-37-00334-X
  5. N. Bourbaki, Topologie générale, p. 1. II. vyd. (Paris (1951). (1951) 
  6. E. Čech, Topologické prostory, Čas. pro pěst. mat. 67 (1938), D. 225-264. (1938) 
  7. L. Gillman, M. Jerison, Rings of continuous functions, Princeton 1960. (1960) Zbl0093.30001MR0116199
  8. J. Kelley, General Topology, New York 1955. (1955) Zbl0066.16604MR0070144
  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. MR0176435
  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). (1964) MR0196696
  11. K. Koutský, Určenost topologických prostorů pomocí úplných systémů okolí bodů, Spisy přír. fak. MU, č. 374 (1956), 1-11. (1956) 
  12. H. J. Kowalski, Topologische Räume, Basel und Stuttgart 1960. (1960) 
  13. К. Kuratowski, A. Mostowski, Teoria mnogosci, Warszawa 1952. (1952) 
  14. F. Neuman, M. Sekanina, Equivalent Systems of sets, Чех. мат. журнал, печатается. Zbl0139.40103
  15. М. Novotný, Über isotone Funktionale geordneter Mengen, Zeitschrift für mat. Logik und Grundlagen der Math., 5 (1959), 9-28. (1959) MR0105375
  16. B. Pospíšil, Sur le nombre des topologies d'une ensemble donné, Čas. pro pěst. mat. 67 (1938), 100-102. (1938) 
  17. G. N. Raney, 10.1090/S0002-9939-1952-0052392-3, Proc. Am. Math. Soc. 3 (1952), 677-680. (1952) Zbl0049.30304MR0052392DOI10.1090/S0002-9939-1952-0052392-3
  18. J. Schmidt, 10.1002/mana.19520070605, Math. Nachrichten 7 (1952), 259-378. (1952) Zbl0047.05602MR0049975DOI10.1002/mana.19520070605
  19. J. Schmidt, 10.1002/mana.19530100309, Math. Nachrichten 10 (1953), 197-232. (1953) Zbl0053.02905MR0057946DOI10.1002/mana.19530100309
  20. A. Tarski, 10.4064/fm-24-1-177-198, Fundamenta Mat. 24 (1935), 177-198. (1935) Zbl0011.00203DOI10.4064/fm-24-1-177-198

Citations in EuDML Documents

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  1. Anna Sekaninová, Milan Sekanina, Topologies compatible with ordering
  2. Jiří Rosický, Embeddings of lattices in the lattice of topologies
  3. Jiří Rosický, Modular, distributive and simple intervals of the lattice of topologies
  4. František Šik, Durch Relationen induzierte Topologien
  5. Josef Šlapal, On modifications of topologies without axioms
  6. Josef Šlapal, On lattices of generalized topologies
  7. Bedřich Pondělíček, On a certain relation for closure operation on a semigroup

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