Book Review
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MathSciNet review:
1567868
Full text of review:
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Book Information:
Author:
R. Fraïssé
Title:
Theory of relations
Additional book information:
Studies in Logic and the Foundations of Mathematics, vol. 118, North-Holland, Amsterdam, 1986, xii+397 pp., $55.25. ISBN 0-444-87865-3.
Robert Bonnet, Stratifcations et extension des genres de chaînes dénombrables, C. R. Acad. Sci. Paris Sér. A-B 269 (1969), A880–A882 (French). MR 252282
Roland Fraïssé, Sur la comparaison des types d’ordres, C. R. Acad. Sci. Paris 226 (1948), 1330–1331 (French). MR 28912
Fred Galvin and Karel Prikry, Borel sets and Ramsey’s theorem, J. Symbolic Logic 38 (1973), 193–198. MR 337630, DOI 10.2307/2272055
Hausdorff, F., Grundzüge der Mengenlehre, Leipzig, 1914.
J. B. Kruskal, Well-quasi-ordering, the Tree Theorem, and Vazsonyi’s conjecture, Trans. Amer. Math. Soc. 95 (1960), 210–225. MR 111704, DOI 10.1090/S0002-9947-1960-0111704-1
C. St. J. A. Nash-Williams, On better-quasi-ordering transfinite sequences, Proc. Cambridge Philos. Soc. 64 (1968), 273–290. MR 221949, DOI 10.1017/s030500410004281x
Maurice Pouzet, Sections initiales d’un ensemble ordonné, C. R. Acad. Sci. Paris Sér. A-B 269 (1969), A113–A116 (French). MR 244119
R. Rado, Partial well-ordering of sets of vectors, Mathematika 1 (1954), 89–95. MR 66441, DOI 10.1112/S0025579300000565
Ramsey, F., The foundation of mathematics, Proc. London Math. Soc. 25 (1926), 338-384.
Sierpiński, W., Leçons sur les nombres transfinis, Monographies Emile Borel, Paris, 1928.
Szpilrajn, E., Sur l'extension de l'ordre partiel, Fund. Math. 16 (1930), 386-389.
- Bonnet, R., Stratifications et extension des genres de chaĭnes dénombrables, C. R. Acad. Sci. Paris Sér. I Math. 269 (1969), 880-882. MR 0252282
- Fräissé, R., Sur la comparaison des types de relations, C. R. Acad. Sci. Paris Sér. I Math. 226 (1948), 978-988. Sur la comparaison des types d'ordres, Ibid., 1330-1331. MR 28912
- Galvin, F. and Prikry, K., Borel sets and Ramsey's theorem, J. Symbolic Logic 38 (1973), 193-198. MR 337630
- Hausdorff, F., Grundzüge der Mengenlehre, Leipzig, 1914.
- Kruskal, J., Well quasi-ordering, the tree theorem and Vazsonyi's conjecture, Trans. Amer. Math. Soc. 95 (1960), 210-225. MR 111704
- Nash-Williams, C., On better quasi-ordering transfinite sequences, Proc. Cambridge Philos. Soc. 59 (1968), 273-290. MR 221949
- Pouzet, M., Sections intiales d'un ensemble ordonné, C. R. Acad. Sci. Paris Sér. I Math. 269 (1969), 113-116. MR 244119
- Rado, R., Partial well-ordering of sets of vectors, Mathematika 1 (1954), 89-95. MR 66441
- Ramsey, F., The foundation of mathematics, Proc. London Math. Soc. 25 (1926), 338-384.
- Sierpiński, W., Leçons sur les nombres transfinis, Monographies Emile Borel, Paris, 1928.
- Szpilrajn, E., Sur l'extension de l'ordre partiel, Fund. Math. 16 (1930), 386-389.
Review Information:
Reviewer:
Arnold W. Miller
Journal:
Bull. Amer. Math. Soc.
23 (1990), 206-209
DOI:
https://doi.org/10.1090/S0273-0979-1990-15932-4