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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


An extension of Banach's mapping theorem

Author: Richard A. Brualdi
Journal: Proc. Amer. Math. Soc. 20 (1969), 520-526
MSC: Primary 05.04
MathSciNet review: 0236029
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  • [1] S. Banach, Un théorème sur les transformations biunivoques, Fund. Math. 6 (1924), 236-239.
  • [2] L. R. Ford, Jr. and D. R. Fulkerson, Flows in networks, Van Nostrand, Princeton, N. J., 1962.
  • [3] A. J. Hoffman and H. W. Kuhn, On systems of distinct representatives, Linear inequalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N. J., 1956, pp. 199–206. MR 0081534 (18,416g)
  • [4] B. Knaster, Un théorème sur les fonctions d'ensembles, Ann. Polon. Math. 6 (1927), 133.
  • [5] Hazel Perfect and J. S. Pym, An extension of Banach’s mapping theorem, with applications to problems concerning common representatives, Proc. Cambridge Philos. Soc. 62 (1966), 187–192. MR 0194343 (33 #2553)
  • [6] W. Sierpinski, Algèbra des ensembles, Monografie Mat. No. 23, PWN, Warsaw, 1951.

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PII: S 0002-9939(1969)0236029-9
Article copyright: © Copyright 1969 American Mathematical Society