Topologies compatible with ordering

Anna Sekaninová; Milan Sekanina

Archivum Mathematicum (1966)

  • Volume: 002, Issue: 3, page 113-126
  • ISSN: 0044-8753

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Sekaninová, Anna, and Sekanina, Milan. "Topologies compatible with ordering." Archivum Mathematicum 002.3 (1966): 113-126. <http://eudml.org/doc/15802>.

@article{Sekaninová1966,
author = {Sekaninová, Anna, Sekanina, Milan},
journal = {Archivum Mathematicum},
language = {eng},
number = {3},
pages = {113-126},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Topologies compatible with ordering},
url = {http://eudml.org/doc/15802},
volume = {002},
year = {1966},
}

TY - JOUR
AU - Sekaninová, Anna
AU - Sekanina, Milan
TI - Topologies compatible with ordering
JO - Archivum Mathematicum
PY - 1966
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 002
IS - 3
SP - 113
EP - 126
LA - eng
UR - http://eudml.org/doc/15802
ER -

References

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  1. Birkhoff G., A new interval topology for dually directed sets, Univ. Nac. Tucuman. Rev. Ser. A 14 (1962), 325-331. (1962) Zbl0135.22702MR0166120
  2. Bourbaki N., Topologie générale, Paris, deuxième édition. Zbl1107.54001
  3. Flachsmayeг J., Einige topologiscҺe Fragen in der Theorie der Booleschen Algebren, Archiv der Mathematik, XVI (1965), 25-33. (1965) 
  4. Floyd E. E., Boolean algebras with pathological order topology, Pac. Journal. 6 (1955), 687--689. (1955) MR0073563
  5. Fгink O., Topology in lattices, Transactions of A.M.S., 51 (1942), 569-582. (1942) MR0006496
  6. Frink O., Ideals in partially ordered sets, Am. Math. Monthly 61 (1954), 223 to 234. (1954) Zbl0055.25901MR0061575
  7. Kolibiar M., Bemerkungen über Intervalltopologie in halbgeordneten Mengen, Gen. Topology and its Relations to Modern Analysis and Algebra, Prague, 1962, 262-263. (1962) Zbl0118.02301MR0147424
  8. Naito T., Lattices with P-ideal topologies, Tôhoku Math. Journal, 12 (1960), 235-261. (1960) Zbl0094.01801MR0121319
  9. Sekanina M., Sistěmy topologij na dannom množestvě, Czech. Math. Journal, 15 (1965), 9-29. (1965) MR0184193
  10. Szász G., Einführung m die Verbandstheorie, Leipzig, 1962. (1962) 
  11. Wolk E.S., Order-compatible topologies on a partially ordered set, Proc. of Am. Math. Soc, 9 (1958), 524-529. (1958) Zbl0089.01902MR0096596
  12. Eilenberg S., Ordered topological spaces, Am. J. of Math., LXIII (1941), 39-46. (1941) Zbl0024.19203MR0003201
  13. Rennie B. C., Lattices, Proc. of the London Math. Soc., 52 (1951), 386-400. (1951) Zbl0044.37901MR0690634
  14. Nachhin L., Topology and order, Nostrand, Toronto, 1965. (1965) MR0219042

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