Embeddings of lattices in the lattice of topologies

Jiří Rosický

Archivum Mathematicum (1973)

  • Volume: 009, Issue: 2, page 49-56
  • ISSN: 0044-8753

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Rosický, Jiří. "Embeddings of lattices in the lattice of topologies." Archivum Mathematicum 009.2 (1973): 49-56. <http://eudml.org/doc/15944>.

@article{Rosický1973,
author = {Rosický, Jiří},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {49-56},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Embeddings of lattices in the lattice of topologies},
url = {http://eudml.org/doc/15944},
volume = {009},
year = {1973},
}

TY - JOUR
AU - Rosický, Jiří
TI - Embeddings of lattices in the lattice of topologies
JO - Archivum Mathematicum
PY - 1973
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 009
IS - 2
SP - 49
EP - 56
LA - eng
UR - http://eudml.org/doc/15944
ER -

References

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  1. Fröhlich O., Das Halbordnungsystem der topologischen Räume auf einer Menge, Math. Annalen 156 (1964), 79-95. (1964) MR0166750
  2. Herrlich H., Topologische Reflexionen und Coreflexionen, Lectuгe Notes 78 (Berlin 1968). (1968) Zbl0182.25302MR0256332
  3. Hewitt E., A problem of set-theoretic topology, Duke Math. Jour. 10 (1943), 309-333. (1943) Zbl0060.39407MR0008692
  4. Kuгatowski K., Topology, Russian translation, Moscow 1966. (1966) 
  5. Larson R. E., Minimum and maximum topological spaces, Bull. Аcad. Pol. Sci. XVIII (1970), 707-710. (1970) Zbl0202.53803MR0276914
  6. Larson R. E., Zimmerman S. J., The lattice of topologies: A survey, to appeaг. 
  7. Ore O., Theory of equivalence relations, Duke Math. Jour. 9 (1942), 573-627. (1942) Zbl0060.06201MR0007388
  8. Pospíšil B., Sur le nombre des topologies d'une ensemble donné, Čas. pro pěst. mat. 67 (1938), 100-102. (1938) 
  9. Rayburn M. C, Jг., On the lattice of compactifications and the lattice of topologies, Ph. D. dissertation, Univ. of Kentucky, 1969. (1969) 
  10. Sekanina M., Sistěmy topologij na dannom množestve, Czech. Math. Jour. T 15 (90), 1965, 9-29. (1965) MR0184193
  11. Steiner А. K., The lattice of topologies: Structure and complementation, Trans. Аmer. Math. Soc. 122 (1969), 379-398. (1969) MR0190893
  12. Szasz G., Einführung in die Verbandstheorie, Budapest 1962. (1962) Zbl0101.26901MR0138567
  13. Vaidyanathaswamy R., Treatise on set topology, Madras 1947. (1947) Zbl0031.41602
  14. Whitman P. M., Lattices, equivalence relations, and subgroups, Bull. Аmer. Math. Soc. LII (1946), 507-522. (1946) Zbl0060.06505MR0016750

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