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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An extension of Banach’s mapping theorem
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by Richard A. Brualdi PDF
Proc. Amer. Math. Soc. 20 (1969), 520-526 Request permission
References
    S. Banach, Un théorème sur les transformations biunivoques, Fund. Math. 6 (1924), 236-239. L. R. Ford, Jr. and D. R. Fulkerson, Flows in networks, Van Nostrand, Princeton, N. J., 1962.
  • 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
    • B. Knaster, Un théorème sur les fonctions d’ensembles, Ann. Polon. Math. 6 (1927), 133.
  • 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 194343, DOI 10.1017/s0305004100039736
    • W. Sierpinski, Algèbra des ensembles, Monografie Mat. No. 23, PWN, Warsaw, 1951.
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 20 (1969), 520-526
  • MSC: Primary 05.04
  • DOI: https://doi.org/10.1090/S0002-9939-1969-0236029-9
  • MathSciNet review: 0236029