| Title:
|
Which countable ordered sets have a dense linear extension? (English) |
| Author:
|
Rutkowski, Aleksander |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
46 |
| Issue:
|
5 |
| Year:
|
1996 |
| Pages:
|
445-455 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A05 |
| MSC:
|
06A06 |
| idZBL:
|
Zbl 0890.06003 |
| idMR:
|
MR1451035 |
| . |
| Date available:
|
2009-09-25T11:18:36Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136684 |
| . |
| Reference:
|
[1] BEHRENDT G.: Automorphism groups of covering posets and of dense posets.Proc. Edinburgh Math. Soc. (2) 35 (1992), 115-120. Zbl 0765.06003, MR 1150957 |
| Reference:
|
[2] BONNET R.: Stratifications et extensions des genres de chaines dénombrables.C. R. Acad. Sci. Paris Ser. A 269 (1969), 880-882. Zbl 0206.28001, MR 0252282 |
| Reference:
|
[3] BONNET R.-POUZET M.: Extension et stratification d'ensembles disperses.C. R. Acad. Sci. Paris Ser. A 268 (1969), 1512-1515. Zbl 0188.04203, MR 0242726 |
| Reference:
|
[4] BONNET R.-POUZET M.: Linear extensions of ordered sets.In: Ordered Sets (I. Rival, od.), D. Reidel, Dordrecht, 1982, pp. 125-170. Zbl 0499.06002, MR 0661293 |
| Reference:
|
[5] CANTOR G.: Beiträge zur Begrundung der transfiniten Mengenlehre.Math. Ann. 46 (1895), 481-512. |
| Reference:
|
[6] DUSHNIK B.-MILLER E. W.: Partially ordered sets.Amer. J. Math. 63 (1941), 600-610. Zbl 0025.31002, MR 0004862 |
| Reference:
|
[7] LOŠ J.: Private communication.(1993). |
| Reference:
|
[8] PINUS A. G.: On the existence of a-dimension of partial orderings.Izv. Vyssh. Uchebn. Zaved. Mat. 5 (1980), 32-36. (Russian) MR 0582711 |
| Reference:
|
[9] PINUS A. G.: On the uniqueness of some linear extensions of partial orderings.Siberian Math. J. 24 (1983), 131-137. (Russian) MR 0713590 |
| Reference:
|
[10] PINUS A. G.: On the least linear extensions of partial orderings.Z. Math. Logik Grundlag. Math. 33 (1987), 517-525. (Russian) MR 0917259 |
| Reference:
|
[11] POUZET M.-RIVAL I.: Which ordered sets have a complete linear extension?.Canad. J. Math. XXXIII (1981), 1245-1254. Zbl 0479.06001, MR 0638378 |
| Reference:
|
[12] SKILTON D. K.: Embedding posets in the integers.Order 1 (1985), 229-233. MR 0779388 |
| Reference:
|
[13] SZPILRAJN E. (MARCZEWSKI): Sur L'extension de Vordre partiel.Fund. Math. 16 (1930), 386-389. |
| . |
