A short short proof of the Cartwright-Littlewood theorem
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- by Morton Brown PDF
- Proc. Amer. Math. Soc. 65 (1977), 372 Request permission
Abstract:
Each orientation preserving homeomorphism of the plane that is invariant on a nonseparating bounded continuum has a fixed point on the continuum.References
- M. L. Cartwright and J. E. Littlewood, Some fixed point theorems, Ann. of Math. (2) 54 (1951), 1–37. With appendix by H. D. Ursell. MR 42690, DOI 10.2307/1969308
- O. H. Hamilton, A short proof of the Cartwright-Littlewood fixed point theorem, Canad. J. Math. 6 (1954), 522–524. MR 64394, DOI 10.4153/cjm-1954-056-8
- L. E. J. Brouwer, Beweis des ebenen Translationssatzes, Math. Ann. 72 (1912), no. 1, 37–54 (German). MR 1511684, DOI 10.1007/BF01456888
- Harold Bell, A fixed point theorem for plane homeomorphisms, Bull. Amer. Math. Soc. 82 (1976), no. 5, 778–780. MR 410710, DOI 10.1090/S0002-9904-1976-14161-4
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 372
- MSC: Primary 55C20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0461491-0
- MathSciNet review: 0461491