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Title: On the well dimension of ordered sets (English)
Author: Novák, Vítězslav
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 19
Issue: 1
Year: 1969
Pages: 1-16
Summary lang: English
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Category: math
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MSC: 06.20
idZBL: Zbl 0175.01203
idMR: MR0241325
DOI: 10.21136/CMJ.1969.100871
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Date available: 2008-06-09T13:39:52Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100871
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Reference: [1] G. Birkhoff: Lattice Theory.New York 1948. Zbl 0033.10103, MR 0029876
Reference: [2] G. Birkhoff: Generalized Arithmetic.Duke Math. Journ. 9 (1942), 283-302. Zbl 0060.12609, MR 0007031, 10.1215/S0012-7094-42-00921-9
Reference: [3] M. M. Day: Arithmetic of Ordered Systems.Trans. Amer. Math. Soc. 58 (1945), 1-43. Zbl 0060.05813, MR 0012262, 10.1090/S0002-9947-1945-0012262-4
Reference: [4] B. Dushnik E. W. Miller: Partially Ordered Sets.Am. Journ. Math. 63 (1941), 600-610. MR 0004862, 10.2307/2371374
Reference: [5] T. Hiraguchi: On the Dimension of Partially Ordered Sets.Sci. Rep. of the Kanazawa Univ. 1 (1951), 77-94. Zbl 0200.00013, MR 0070681
Reference: [6] T. Hiraguchi: A note on a Mr. Komm's Theorems.Sci. Rep. of the Kanazawa Univ. 2 (1953), 1-3. MR 0076741
Reference: [7] H. Komm: On the Dimension of Partially Ordered Sets.Am. Journ. Math. 70 (1948), 507-520. Zbl 0037.31903, MR 0025541, 10.2307/2372194
Reference: [8] V. Novák: О dimensi lexikografického součtu částecně uspořádaných množin.Čas. pěst. mat. 86 (1961), 385-391.
Reference: [9] V. Novák: On the Pseudodimension of Ordered Sets.Czech. Math. Journ. 13 (1963), 587-598, MR 0180507
Reference: [10] V. Novák: On the $\omega_v$-dimension and $\omega_v$-pseudodimension of ordered sets.Ztschr. f. math. Logik und Grundlagen d. Math. 10 (1964), 43-48. MR 0180508, 10.1002/malq.19640100204
Reference: [11] E. Szpilrajn: Sur l'extension de l'ordre partiel.Fund. Math. 16 (1930), 386-389. 10.4064/fm-16-1-386-389
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