Contractibility and convexity
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- by H. W. Kuhn
- Proc. Amer. Math. Soc. 5 (1954), 777-779
- DOI: https://doi.org/10.1090/S0002-9939-1954-0065187-3
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References
- I. Liberman, On certain characteristic properties of convex bodies, Mat. Sbornik vol. 13 (55) (1943) pp. 239-262.
- Gerard Debreu, A social equilibrium existence theorem, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 886–893. MR 50251, DOI 10.1073/pnas.38.10.886
- Samuel Eilenberg and Deane Montgomery, Fixed point theorems for multi-valued transformations, Amer. J. Math. 68 (1946), 214–222. MR 16676, DOI 10.2307/2371832
- Edward G. Begle, A fixed point theorem, Ann. of Math. (2) 51 (1950), 544–550. MR 35433, DOI 10.2307/1969367 K. Borsuk, Sur un continu acyclique qui se laisse transformer en lui même sans points invariant, Fund. Math. vol. 24 (1935) pp. 51-58.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 777-779
- MSC: Primary 52.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0065187-3
- MathSciNet review: 0065187