Which countable ordered sets have a dense linear extension?

Aleksander Rutkowski

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 5, page 445-455
  • ISSN: 0139-9918

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Rutkowski, Aleksander. "Which countable ordered sets have a dense linear extension?." Mathematica Slovaca 46.5 (1996): 445-455. <http://eudml.org/doc/34443>.

@article{Rutkowski1996,
author = {Rutkowski, Aleksander},
journal = {Mathematica Slovaca},
keywords = {partial order; linear order; linear extension; chain; density; -extension; rationals},
language = {eng},
number = {5},
pages = {445-455},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Which countable ordered sets have a dense linear extension?},
url = {http://eudml.org/doc/34443},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Rutkowski, Aleksander
TI - Which countable ordered sets have a dense linear extension?
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 5
SP - 445
EP - 455
LA - eng
KW - partial order; linear order; linear extension; chain; density; -extension; rationals
UR - http://eudml.org/doc/34443
ER -

References

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  1. BEHRENDT G., Automorphism groups of covering posets and of dense posets, Proc. Edinburgh Math. Soc. (2) 35 (1992), 115-120. (1992) Zbl0765.06003MR1150957
  2. BONNET R., Stratifications et extensions des genres de chaines dénombrables, C. R. Acad. Sci. Paris Ser. A 269 (1969), 880-882. (1969) Zbl0206.28001MR0252282
  3. BONNET R.-POUZET M., Extension et stratification d'ensembles disperses, C. R. Acad. Sci. Paris Ser. A 268 (1969), 1512-1515. (1969) Zbl0188.04203MR0242726
  4. BONNET R.-POUZET M., Linear extensions of ordered sets, In: Ordered Sets (I. Rival, od.), D. Reidel, Dordrecht, 1982, pp. 125-170. (1982) Zbl0499.06002MR0661293
  5. CANTOR G., Beiträge zur Begrundung der transfiniten Mengenlehre, Math. Ann. 46 (1895), 481-512. 
  6. DUSHNIK B.-MILLER E. W., Partially ordered sets, Amer. J. Math. 63 (1941), 600-610. (1941) Zbl0025.31002MR0004862
  7. LOŠ J., Private communication, (1993). (1993) 
  8. PINUS A. G., On the existence of a-dimension of partial orderings, Izv. Vyssh. Uchebn. Zaved. Mat. 5 (1980), 32-36. (Russian) (1980) MR0582711
  9. PINUS A. G., On the uniqueness of some linear extensions of partial orderings, Siberian Math. J. 24 (1983), 131-137. (Russian) (1983) MR0713590
  10. PINUS A. G., On the least linear extensions of partial orderings, Z. Math. Logik Grundlag. Math. 33 (1987), 517-525. (Russian) (1987) MR0917259
  11. POUZET M.-RIVAL I., Which ordered sets have a complete linear extension?, Canad. J. Math. XXXIII (1981), 1245-1254. (1981) Zbl0479.06001MR0638378
  12. SKILTON D. K., Embedding posets in the integers, Order 1 (1985), 229-233. (1985) MR0779388
  13. SZPILRAJN E. (MARCZEWSKI), Sur L'extension de Vordre partiel, Fund. Math. 16 (1930), 386-389. (1930) 

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