Examples of transformation groups
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- by Deane Montgomery and Leo Zippin
- Proc. Amer. Math. Soc. 5 (1954), 460-465
- DOI: https://doi.org/10.1090/S0002-9939-1954-0062436-2
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References
- L. E. J. Brouwer, Über die periodischen Transformationen der Kugel, Math. Ann. 80 (1919), no. 1, 39–41 (German). MR 1511946, DOI 10.1007/BF01463233
- R. H. Bing, A homeomorphism between the $3$-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354–362. MR 49549, DOI 10.2307/1969804 Alexander, An example of a simply connected surface bounding a region which is not simply connected, Proc. Nat. Acad. Sci. U.S.A. vol. 10 (1924) pp. 8-10.
- S. Bochner, Compact groups of differentiable transformations, Ann. of Math. (2) 46 (1945), 372–381. MR 13161, DOI 10.2307/1969157
- Deane Montgomery and Leo Zippin, Periodic one-parameter groups in three-space, Trans. Amer. Math. Soc. 40 (1936), no. 1, 24–36. MR 1501864, DOI 10.1090/S0002-9947-1936-1501864-6 Alexander, On the deformation of an $n$-cell, Proc. Nat. Acad. Sci. U.S.A. vol. 9 (1923) pp. 406-407. Veblen, On the deformation of an $n$-cell, Proc. Nat. Acad. Sci. U.S.A. vol. 3 (1917) pp. 654-656.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 460-465
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0062436-2
- MathSciNet review: 0062436