Title:
|
Topologies compatible with ordering (English) |
Author:
|
Sekanina, A. |
Author:
|
Sekanina, Milan |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
2 |
Issue:
|
3 |
Year:
|
1966 |
Pages:
|
113-126 |
. |
Category:
|
math |
. |
MSC:
|
06F30 |
MSC:
|
54F05 |
idZBL:
|
Zbl 0206.24702 |
idMR:
|
MR0209197 |
. |
Date available:
|
2008-06-05T17:50:54Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104614 |
. |
Reference:
|
[1] Birkhoff G.: A new interval topology for dually directed sets.Univ. Nac. Tucuman. Rev. Ser. A 14 (1962), 325-331. Zbl 0135.22702, MR 0166120 |
Reference:
|
[2] Bourbaki N.: Topologie générale.Paris, deuxième édition. Zbl 1107.54001 |
Reference:
|
[3] Flachsmayeг J.: Einige topologiscҺe Fragen in der Theorie der Booleschen Algebren.Archiv der Mathematik, XVI (1965), 25-33. |
Reference:
|
[4] Floyd E. E.: Boolean algebras with pathological order topology.Pac. Journal. 6 (1955), 687--689. MR 0073563 |
Reference:
|
[5] Fгink O.: Topology in lattices.Transactions of A.M.S., 51 (1942), 569-582. MR 0006496 |
Reference:
|
[6] Frink O.: Ideals in partially ordered sets.Am. Math. Monthly 61 (1954), 223 to 234. Zbl 0055.25901, MR 0061575 |
Reference:
|
[7] Kolibiar M.: Bemerkungen über Intervalltopologie in halbgeordneten Mengen.Gen. Topology and its Relations to Modern Analysis and Algebra, Prague, 1962, 262-263. Zbl 0118.02301, MR 0147424 |
Reference:
|
[8] Naito T.: Lattices with P-ideal topologies.Tôhoku Math. Journal, 12 (1960), 235-261. Zbl 0094.01801, MR 0121319 |
Reference:
|
[9] Sekanina M.: Sistěmy topologij na dannom množestvě.Czech. Math. Journal, 15 (1965), 9-29. MR 0184193 |
Reference:
|
[10] Szász G.: Einführung m die Verbandstheorie.Leipzig, 1962. |
Reference:
|
[11] Wolk E.S.: Order-compatible topologies on a partially ordered set.Proc. of Am. Math. Soc, 9 (1958), 524-529. Zbl 0089.01902, MR 0096596 |
Reference:
|
[12] Eilenberg S.: Ordered topological spaces.Am. J. of Math., LXIII (1941), 39-46. Zbl 0024.19203, MR 0003201 |
Reference:
|
[13] Rennie B. C.: Lattices.Proc. of the London Math. Soc., 52 (1951), 386-400. Zbl 0044.37901, MR 0690634 |
Reference:
|
[14] Nachhin L.: Topology and order.Nostrand, Toronto, 1965. MR 0219042 |
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