| Title:
|
On the pseudodimension of ordered sets (English) |
| Author:
|
Novák, Vítězslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
13 |
| Issue:
|
4 |
| Year:
|
1963 |
| Pages:
|
587-598 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06.20 |
| idZBL:
|
Zbl 0125.00604 |
| idMR:
|
MR0180507 |
| DOI:
|
10.21136/CMJ.1963.100589 |
| . |
| Date available:
|
2008-06-09T13:19:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100589 |
| . |
| Reference:
|
[1] E. Szpilrajn: Sur l'extension de l'ordre partiel.Fund. Math. 16 (1930), 386-389. 10.4064/fm-16-1-386-389 |
| Reference:
|
[2] M. Novotný: O representaci částečně uspořádaných množin posloupnostmi nul a jedniček.Čas. pěst. mat. 78 (1953), 61 - 64. MR 0079066 |
| Reference:
|
[3] M. Novotný: Bemerkung über die Darstellung teilweise geordneter Mengen.Spisy přir. fak. MU V Brně 369 (1955), 451-458. MR 0082958 |
| Reference:
|
[4] В. Dushnik E. W. Miller: Partially Ordered Sets.Am. Journ. Math. 63 (1941), 600-610. MR 0004862, 10.2307/2371374 |
| Reference:
|
[5] 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:
|
[6] S. Ginsburg: On the $\lambda$-dimension and the A-dimension of Partially Ordered Sets.Am. Journ. Math. 76 (1954), 590-598. Zbl 0055.28002, MR 0062196, 10.2307/2372703 |
| Reference:
|
[7] V. Sedmak: Dimenzija djelomično uredenih skupova pridruženih poligonima i poliedrima.Glasnik matematičko-fizički i astronomski 7 (1952), 169-181. MR 0053495 |
| Reference:
|
[8] B. Dushnik: Concerning a Certain Set of Arrangements.Proc. Amer. Math. Soc. 1 (1950), 788-796. Zbl 0040.29501, MR 0038922, 10.1090/S0002-9939-1950-0038922-4 |
| Reference:
|
[9] T. Hiraguchi: On the Dimension of Partially Ordered Sets.Science Reports of the Kanazawa University 1 (1951), 77-94. Zbl 0200.00013, MR 0070681 |
| Reference:
|
[10] T. Hiraguchi: A Note on a Mr. Komm's Theorems.Science Reports of the Kanazawa University 2 (1953), 1-3. MR 0076741 |
| Reference:
|
[11] T. Hiraguchi: On the $\lambda$-dimension of the Product of Orders.Science Reports of the Kanazawa University 5 (1956). Zbl 0200.00048, MR 0095132 |
| Reference:
|
[12] V. M. Michejev: О множествах содержащих наибольшее число попарно несравнимых булевых векторов.Проблемы кибернетики 2 (1959), 69 - 71. |
| Reference:
|
[13] М. М. 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:
|
[14] G. Birkhoff: Lattice Theory.New York, 1948. Zbl 0033.10103, MR 0029876 |
| . |
