Bulletin of the American Mathematical Society

MathSciNet review: 1567868
Full text of review: PDF   This review is available free of charge.
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.