Universal infinite partially ordered sets
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- by John B. Johnston
- Proc. Amer. Math. Soc. 7 (1956), 507-514
- DOI: https://doi.org/10.1090/S0002-9939-1956-0096607-8
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References
- Ben Dushnik and E. W. Miller, Partially ordered sets, Amer. J. Math. 63 (1941), 600–610. MR 4862, DOI 10.2307/2371374
- Norberto Cuesta Dutari, Decimal theory of the order types, Rev. Mat. Hisp.-Amer. (4) 3 (1943), 186–205, 242–268 (Spanish). MR 9969 F. Hausdorff, Grundzüge der Mengenlehre, Leipzig, 1914.
- Horace Komm, On the dimension of partially ordered sets, Amer. J. Math. 70 (1948), 507–520. MR 25541, DOI 10.2307/2372194 A. Mostowski, Über gewisse universelle Relationen, Annales de la Société Polonaise de Mathématique vol. 17 (1938) pp. 117-118.
- Wacław Sierpiński, Sur une propriété des ensembles ordonnés, Fund. Math. 36 (1949), 56–67 (French). MR 31528, DOI 10.4064/fm-36-1-56-67 E. Szpilrajn, Sur l’extension de l’ordre partiel, Fund. Math. vol. 16 (1930) pp. 386-389.
Bibliographic Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 507-514
- MSC: Primary 08.00; Secondary 06.00
- DOI: https://doi.org/10.1090/S0002-9939-1956-0096607-8
- MathSciNet review: 0096607