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Complete ordered sets with no infinite antichains. (English) Zbl 0466.06002


MSC:

06A06 Partial orders, general
06B23 Complete lattices, completions

Citations:

Zbl 0434.03024
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Full Text: DOI

References:

[1] Ranaschewski, B., Hüllensysteme und Erweiterungen von Quasi-Ordnungen, Z. Math. Logik Grundlagen Math., 2, 117-130 (1956)
[2] Bonnet, R., Stratifications et extension des genres de chaînes dénombrables, C.R. Acad. Sc. Paris, 269, 880-882 (1969) · Zbl 0206.28001
[3] Bonnet, R.; Pouzet, M., Extension et stratification d’ensembles dispersés, C.R. Acad. Sc. Paris, 268, 1512-1515 (1969) · Zbl 0188.04203
[4] Charretton, C.; Pouzet, M., Les chaînes dans les modeles d’Ehrenfeucht-Mostowski, C.R. Acad. Sc. Paris, 290, 715-717 (1980), See also, Chains in Ehrenfeucht-Motowski models, preprint (1979) · Zbl 0434.03024
[5] Erdös, P.; Hajnal, A., On a classification of denumerable order types and an application to the partition calculus, Fund. Math., 51, 117-129 (1962) · Zbl 0111.01201
[6] Erdös, P.; Rado, R., A partition calculus in set theory, Bull. Amer. Math. Soc., 62, 427-489 (1956) · Zbl 0071.05105
[7] Kelly, D.; Rival, I., Certain partially ordered sets of dimension three, J. Combinatorial Theory, 18, 239-242 (1975), (Ser. A) · Zbl 0308.06003
[8] Laver, R., Well-quasi-orderings and sets of finite sequences, Proc. Cambridge Philos. Soc., 79 (1976) · Zbl 0405.06001
[9] Pouzet, M., Generalisation d’une construction de Ben Dushnik-E. W. Miller, C.R. Acad. Sc. Paris, 269, 877-879 (1969) · Zbl 0206.29601
[10] Rado, R., Partial well ordering of sets of vectors, Mathematika, 1, 89-95 (1954) · Zbl 0057.04302
[11] Ramsey, F. P., On a problem of formal logic, Proc. London Math. Soc., 30, 264-286 (1930) · JFM 55.0032.04
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