Some cardinal characteristics of ordered sets

Vítězslav Novák

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 1, page 135-144
  • ISSN: 0011-4642

Abstract

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For ordered (= partially ordered) sets we introduce certain cardinal characteristics of them (some of those are known). We show that these characteristics—with one exception—coincide.

How to cite

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Novák, Vítězslav. "Some cardinal characteristics of ordered sets." Czechoslovak Mathematical Journal 48.1 (1998): 135-144. <http://eudml.org/doc/30408>.

@article{Novák1998,
abstract = {For ordered (= partially ordered) sets we introduce certain cardinal characteristics of them (some of those are known). We show that these characteristics—with one exception—coincide.},
author = {Novák, Vítězslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordered set; dimension; 2-realizer; dense subset; separability},
language = {eng},
number = {1},
pages = {135-144},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some cardinal characteristics of ordered sets},
url = {http://eudml.org/doc/30408},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Novák, Vítězslav
TI - Some cardinal characteristics of ordered sets
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 135
EP - 144
AB - For ordered (= partially ordered) sets we introduce certain cardinal characteristics of them (some of those are known). We show that these characteristics—with one exception—coincide.
LA - eng
KW - ordered set; dimension; 2-realizer; dense subset; separability
UR - http://eudml.org/doc/30408
ER -

References

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  10. Bemerkung über die Darstellung teilweise geordneter Mengen, Spisy přír. fak. Mas. Univ. Brno 369 (1955), 1–8. (1955) MR0082958
  11. 10.4064/fm-56-3-313-324, Fund. Math. 56 (1965), 313–324. (1965) MR0175079DOI10.4064/fm-56-3-313-324
  12. Cardinal and Ordinal Numbers, Warszawa, 1958. (1958) Zbl0083.26803MR0095787
  13. 10.1007/BF01171114, Math. Ztschr. 27 (1928), 554–558. (1928) DOI10.1007/BF01171114

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