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