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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

A partition calculus in set theory

Author(s): P. Erdös; R. Rado
Journal: Bull. Amer. Math. Soc. 62 (1956), 427-489.
MathSciNet review: 0081864
Retrieve article in: PDF

References | Additional information

References:

1.
F. Bagemihl and H. D. Sprinkle, On a proposition of Sierpiński, Proc. Amer. Math. Soc. vol. 5 (1954) pp. 726-728. MR 63420
2.
B. Dushnik and E. W. Miller, Partially ordered sets, Amer. J. Math. vol. 63 (1941) p. 605. MR 4862
3.
P. Erdös, Some set-theoretical properties of graphs, Revista Universidad Nacional de Tucuman, Serie A vol. 3 (1942) pp. 363-367. MR 9444
4.
P. Erdös and R. Rado, A combinatorial theorem, J. London Math. Soc. vol. 25 (1950) pp. 249-255. MR 37886
5.
P. Erdös and R. Rado, Combinatorial theorems on classifications of subsets of a given set, Proc. London Math. Soc. (3) vol. 2 (1952) pp. 417-439. MR 65615
6.
P. Erdös and R. Rado, A problem on ordered sets, J. London Math. Soc. vol 28 (1953) pp. 426-438. MR 58687
7.
P. Erdös and G. Szekeres, A combinatorial problem in geometry, Compositio Math. vol. 2 (1935) pp. 463-470. MR 1556929
8.
P. Hall, On representations of sub-sets, J. London Math. Soc. vol. 10 (1934) pp. 26-30.
9.
F. Hausdorff, Grundzüge einer theorie der geordneten Mengen, Math. Ann. vol. 65 (1908) pp. 435-506. MR 1511478
10.
F. Hausdorff, Mengenlehre, 3d ed., 1944, §16. MR 15445
11.
R. Rado, Direct decompositions of partitions, J. London Math. Soc. vol. 29 (1954), pp. 71-83. MR 65616
12.
F. P. Ramsey, On a problem of formal logic, Proc. London Math. Soc. (2) vol. 30 (1930) pp. 264-286.
13.
W. Sierpiński, Leçons sur les nombres transfinis, Paris, 1928.
14.
W. Sierpiński, O jednom problemu G Ruzjevića koji se odnosi na hipotezu kontinuuma, Glas Srpske Kraljevske Akademije vol. 152 (1932) pp. 163-169.
15.
W. Sierpiński, Sur un problème de la théorie des relations, Annali R. Scuola Normale Superiore de Pisa Ser. 2 vol. 2 (1933) pp. 285-287.
16.
W. Sierpiński, Concernant l'hypothèse du continu, Académie Royale Serbe. Bulletin de l'Académie des Sciences Mathématiques et Naturelles. A. Sciences Mathématiques et Physiques vol. 1 (1933) pp. 67-73.
17.
A. Tarski, Quelques théorèmes sur les alephs, Fund. Math. vol. 7 (1925) p. 2.


Additional Information:

DOI: 10.1090/S0002-9904-1956-10036-0
PII: S 0002-9904(1956)10036-0




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