An extension of Banach’s mapping theorem
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- by Richard A. Brualdi
- Proc. Amer. Math. Soc. 20 (1969), 520-526
- DOI: https://doi.org/10.1090/S0002-9939-1969-0236029-9
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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.
Bibliographic 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