On the pseudodimension of ordered sets

Vítězslav Novák

Czechoslovak Mathematical Journal (1963)

  • Volume: 13, Issue: 4, page 587-598
  • ISSN: 0011-4642

How to cite

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Novák, Vítězslav. "On the pseudodimension of ordered sets." Czechoslovak Mathematical Journal 13.4 (1963): 587-598. <http://eudml.org/doc/12192>.

@article{Novák1963,
author = {Novák, Vítězslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {set theory},
language = {eng},
number = {4},
pages = {587-598},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the pseudodimension of ordered sets},
url = {http://eudml.org/doc/12192},
volume = {13},
year = {1963},
}

TY - JOUR
AU - Novák, Vítězslav
TI - On the pseudodimension of ordered sets
JO - Czechoslovak Mathematical Journal
PY - 1963
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 13
IS - 4
SP - 587
EP - 598
LA - eng
KW - set theory
UR - http://eudml.org/doc/12192
ER -

References

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  1. E. Szpilrajn, 10.4064/fm-16-1-386-389, Fund. Math. 16 (1930), 386-389. (1930) DOI10.4064/fm-16-1-386-389
  2. M. Novotný, O representaci částečně uspořádaných množin posloupnostmi nul a jedniček, Čas. pěst. mat. 78 (1953), 61 - 64. (1953) MR0079066
  3. M. Novotný, Bemerkung über die Darstellung teilweise geordneter Mengen, Spisy přir. fak. MU V Brně 369 (1955), 451-458. (1955) MR0082958
  4. В. Dushnik E. W. Miller, 10.2307/2371374, Am. Journ. Math. 63 (1941), 600-610. (1941) MR0004862DOI10.2307/2371374
  5. H. Komm, 10.2307/2372194, Am. Journ. Math. 70 (1948), 507-520. (1948) Zbl0037.31903MR0025541DOI10.2307/2372194
  6. S. Ginsburg, 10.2307/2372703, Am. Journ. Math. 76 (1954), 590-598. (1954) Zbl0055.28002MR0062196DOI10.2307/2372703
  7. V. Sedmak, Dimenzija djelomično uredenih skupova pridruženih poligonima i poliedrima, Glasnik matematičko-fizički i astronomski 7 (1952), 169-181. (1952) MR0053495
  8. B. Dushnik, 10.1090/S0002-9939-1950-0038922-4, Proc. Amer. Math. Soc. 1 (1950), 788-796. (1950) Zbl0040.29501MR0038922DOI10.1090/S0002-9939-1950-0038922-4
  9. T. Hiraguchi, On the Dimension of Partially Ordered Sets, Science Reports of the Kanazawa University 1 (1951), 77-94. (1951) Zbl0200.00013MR0070681
  10. T. Hiraguchi, A Note on a Mr. Komm's Theorems, Science Reports of the Kanazawa University 2 (1953), 1-3. (1953) MR0076741
  11. T. Hiraguchi, On the λ -dimension of the Product of Orders, Science Reports of the Kanazawa University 5 (1956). (1956) Zbl0200.00048MR0095132
  12. V. M. Michejev, О множествах содержащих наибольшее число попарно несравнимых булевых векторов, Проблемы кибернетики 2 (1959), 69 - 71. (1959) 
  13. М. М. Day, 10.1090/S0002-9947-1945-0012262-4, Trans. Amer. Math. Soc. 58 (1945), 1 - 43. (1945) Zbl0060.05813MR0012262DOI10.1090/S0002-9947-1945-0012262-4
  14. G. Birkhoff, Lattice Theory, New York, 1948. (1948) Zbl0033.10103MR0029876

Citations in EuDML Documents

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  1. Martin Gavalec, The Dimension of the Set of All Finite Subsets of the Continuum
  2. Vítězslav Novák, On universal quasi-ordered sets
  3. Martin Gavalec, Dimensions of Distributive Lattices
  4. Vítězslav Novák, Some cardinal characteristics of ordered sets
  5. Vítězslav Novák, On the well dimension of ordered sets
  6. Vítězslav Novák, Miroslav Novotný, Pseudodimension of relational structures
  7. Vítězslav Novák, On the lexicographic product of ordered sets
  8. Vítězslav Novák, Miroslav Novotný, Relational structures and dependence spaces
  9. Vítězslav Novák, Lidmila Vránová, Dense subsets of ordered sets

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