Geodesic
On the pseudodimension of ordered sets
Czechoslovak Mathematical Journal, Tome 13 (1963) no. 4, pp. 587-598
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DOI : 10.21136/CMJ.1963.100589
Classification : 06.20 
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Novák, Vítězslav. On the pseudodimension of ordered sets. Czechoslovak Mathematical Journal, Tome 13 (1963) no. 4, pp. 587-598. doi: 10.21136/CMJ.1963.100589

[1] E. Szpilrajn: Sur l'extension de l'ordre partiel. Fund. Math. 16 (1930), 386-389. | DOI

[2] M. Novotný: O representaci částečně uspořádaných množin posloupnostmi nul a jedniček. Čas. pěst. mat. 78 (1953), 61 - 64. | MR

[3] M. Novotný: Bemerkung über die Darstellung teilweise geordneter Mengen. Spisy přir. fak. MU V Brně 369 (1955), 451-458. | MR

[4] В. Dushnik E. W. Miller: Partially Ordered Sets. Am. Journ. Math. 63 (1941), 600-610. | DOI | MR

[5] H. Komm: On the Dimension of Partially Ordered Sets. Am. Journ. Math. 70 (1948), 507-520. | DOI | MR | Zbl

[6] S. Ginsburg: On the $\lambda$-dimension and the A-dimension of Partially Ordered Sets. Am. Journ. Math. 76 (1954), 590-598. | DOI | MR | Zbl

[7] V. Sedmak: Dimenzija djelomično uredenih skupova pridruženih poligonima i poliedrima. Glasnik matematičko-fizički i astronomski 7 (1952), 169-181. | MR

[8] B. Dushnik: Concerning a Certain Set of Arrangements. Proc. Amer. Math. Soc. 1 (1950), 788-796. | DOI | MR | Zbl

[9] T. Hiraguchi: On the Dimension of Partially Ordered Sets. Science Reports of the Kanazawa University 1 (1951), 77-94. | MR | Zbl

[10] T. Hiraguchi: A Note on a Mr. Komm's Theorems. Science Reports of the Kanazawa University 2 (1953), 1-3. | MR

[11] T. Hiraguchi: On the $\lambda$-dimension of the Product of Orders. Science Reports of the Kanazawa University 5 (1956). | MR | Zbl

[12] V. M. Michejev: О множествах содержащих наибольшее число попарно несравнимых булевых векторов. Проблемы кибернетики 2 (1959), 69 - 71.

[13] М. М. Day: Arithmetic of Ordered Systems. Trans. Amer. Math. Soc. 58 (1945), 1 - 43. | DOI | MR | Zbl

[14] G. Birkhoff: Lattice Theory. New York, 1948. | MR | Zbl

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