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Examples of transformation groups


Authors: Deane Montgomery and Leo Zippin
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
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  • [1] Brouwer, Über die periodischen Transformationen der Kreisscheibe und der Kugelfläche, Math. Ann. vol. 80 (1919) pp. 39-41. See also Kerékjártó, Vorlesungen über Topologie I, Berlin, Springer, 1923 and Eilenberg, Sur les transformations périodiques de la surface de sphère, Fund. Math. vol. 22 (1933) pp. 28-41. MR 1511946
  • [2] Bing, A homeomorphism between the $ 3$-sphere and the sum of two solid horned spheres, Ann. of Math. vol. 56 (1952) pp. 354-362. MR 0049549 (14:192d)
  • [3] 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.
  • [4] Bochner, Compact groups of differentiable transformations, Ann. of Math. vol. 46 (1945) pp. 372-381. MR 0013161 (7:114g)
  • [5] Montgomery and Zippin, Periodic one-parameter groups in three-space, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 24-36. MR 1501864
  • [6] Alexander, On the deformation of an $ n$-cell, Proc. Nat. Acad. Sci. U.S.A. vol. 9 (1923) pp. 406-407.
  • [7] Veblen, On the deformation of an $ n$-cell, Proc. Nat. Acad. Sci. U.S.A. vol. 3 (1917) pp. 654-656.

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DOI: https://doi.org/10.1090/S0002-9939-1954-0062436-2
Article copyright: © Copyright 1954 American Mathematical Society

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