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Article

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
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Category: math
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MSC: 06F30
MSC: 54F05
idZBL: Zbl 0206.24702
idMR: MR0209197
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Date available: 2008-06-05T17:50:54Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/104614
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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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