Dense subsets of ordered sets

Vítězslav Novák; Lidmila Vránová

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 3, page 571-579
  • ISSN: 0862-7959

Abstract

top
Some modifications of the definition of density of subsets in ordered (= partially ordered) sets are given and the corresponding concepts are compared.

How to cite

top

Novák, Vítězslav, and Vránová, Lidmila. "Dense subsets of ordered sets." Mathematica Bohemica 126.3 (2001): 571-579. <http://eudml.org/doc/248872>.

@article{Novák2001,
abstract = {Some modifications of the definition of density of subsets in ordered (= partially ordered) sets are given and the corresponding concepts are compared.},
author = {Novák, Vítězslav, Vránová, Lidmila},
journal = {Mathematica Bohemica},
keywords = {ordered set; weakly dense subset; dense subset; separability; ordered set; weakly dense subset; dense subset; separability},
language = {eng},
number = {3},
pages = {571-579},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dense subsets of ordered sets},
url = {http://eudml.org/doc/248872},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Novák, Vítězslav
AU - Vránová, Lidmila
TI - Dense subsets of ordered sets
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 3
SP - 571
EP - 579
AB - Some modifications of the definition of density of subsets in ordered (= partially ordered) sets are given and the corresponding concepts are compared.
LA - eng
KW - ordered set; weakly dense subset; dense subset; separability; ordered set; weakly dense subset; dense subset; separability
UR - http://eudml.org/doc/248872
ER -

References

top
  1. Generalized Arithmetic, Duke Math. J. 9 (1942), 283–302. (1942) Zbl0060.12609MR0007031
  2. Lattice Theory, Third edition, Providence, Rhode Island, 1967. (1967) Zbl0153.02501MR0227053
  3. Grundzüge der Mengenlehre, Leipzig, 1914. (1914) 
  4. Partitive sets and ordered chains, Rad. Jug. Akad. Znan. Umjet, Odjel Mat. Fiz. Techn. Nauke 6 (1957), 197–235. (1957) Zbl0147.26301MR0097328
  5. On sets containing the greatest number of pairwise incomparable Boole vectors, Probl. Kib. 2 (1959), 69–71. (Russian) (1959) MR0123498
  6. On some ordered continua of power 2 ℵ 0 containing a dense subset of power ℵ 1 , Czechoslovak Math. J. 1 (1951), 63–79. (1951) MR0049262
  7. On some characteristics of an ordered continuum, Czechoslovak Math. J. 2 (1952), 369–386. (Russian) (1952) MR0062197
  8. On the pseudodimension of ordered sets, Czechoslovak Math. J. 13 (1963), 587–598. (1963) MR0180507
  9. 10.1002/malq.19640100204, Z. Math. Logik Grundlagen Math. 10 (1964), 43–48. (1964) MR0180508DOI10.1002/malq.19640100204
  10. 10.1023/A:1022523830353, Czechoslovak Math. J. 48 (1998), 135–144. (1998) MR1614021DOI10.1023/A:1022523830353
  11. On a certain characteristic of an ordered continuum, Czechoslovak Math. J. 3 (1953), 75–82. (Russian) (1953) 
  12. On representation of partially ordered sets by means of sequences of 0’s and 1’s, Čas. pěst. mat. 78 (1953), 61–64. (Czech) (1953) MR0079066
  13. Bemerkung über die Darstellung teilweise geordneter Mengen, Spisy přír. fak. MU Brno 389 (1955), 451–458. (1955) MR0082958
  14. 10.1007/BF01900297, Arch. Math. 7 (1956), 241–249. (1956) MR0084484DOI10.1007/BF01900297
  15. Ein Satz über Untermengen einer endlichen Menge, Math. Z. 27 (1928), 554–558. (1928) MR1544925

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.