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Differentiable actions on homotopy seven spheres
Authors:
D. Montgomery and C. T. Yang
Journal:
Trans. Amer. Math. Soc. 122 (1966), 480-498
MSC:
Primary 57.47
MathSciNet review:
0200934
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References |
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Additional Information
- [1]
Wu-chung
Hsiang and Wu-yi
Hsiang, Some free differentiable actions of 𝑆¹ and
𝑆³ on 11-spheres, Quart. J. Math. Oxford Ser. (2)
15 (1964), 371–374. MR 0173266
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J. W. Milnor, Differentiable structures, Mimeographed Notes, Princeton University, Princeton, N. J., 1961.
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André
Haefliger, Knotted (4𝑘-1)-spheres in 6𝑘-space,
Ann. of Math. (2) 75 (1962), 452–466. MR 0145539
(26 #3070)
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Sze-tsen
Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII,
Academic Press, New York, 1959. MR 0106454
(21 #5186)
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André
Haefliger, Plongements différentiables de
variétés dans variétés, Comment. Math.
Helv. 36 (1961), 47–82 (French). MR 0145538
(26 #3069)
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H. Cartan, Seminaire Cartan, Paris, 1950-1951.
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84 (1962), 387–399. MR 0153022
(27 #2991)
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Michel
A. Kervaire and John
W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2)
77 (1963), 504–537. MR 0148075
(26 #5584)
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J. W. Milnor, Differentiable manifolds which are homotopy spheres, Mimeographed Notes, Princeton University, Princeton, N. J., 1958.
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Hassler
Whitney, The self-intersections of a smooth 𝑛-manifold in
2𝑛-space, Ann. of Math. (2) 45 (1944),
220–246. MR 0010274
(5,273g)
- [1]
- W. C. Hsiang, and W. Y. Hsiang, Some free differentiable actions of
and on -sphere, Quart. J. Math. 15 (1964), 371-374. MR 0173266 (30:3479)
- [2]
- J. W. Milnor, Differentiable structures, Mimeographed Notes, Princeton University, Princeton, N. J., 1961.
- [3]
- A. Haefliger, Knotted
-spheres in -space, Ann. of Math. 75 (1962), 452-466. MR 0145539 (26:3070)
- [4]
- S. T. Hu, Homotopy theory, Academic Press, New York, 1959. MR 0106454 (21:5186)
- [5]
- A. Haefliger, Plongements differentiables de variétés dans variétés, Comment. Math. Helv. 36 (1961), 47-82. MR 0145538 (26:3069)
- [6]
- N. E. Steenrod, Fibre bundles, Princeton Univ. Press, Princeton, N. J., 1951.
- [7]
- H. Cartan, Seminaire Cartan, Paris, 1950-1951.
- [8]
- S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387-399. MR 0153022 (27:2991)
- [9]
- M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres. I, Ann. of Math. 77 (1963), 504-537. MR 0148075 (26:5584)
- [10]
- J. W. Milnor, Differentiable manifolds which are homotopy spheres, Mimeographed Notes, Princeton University, Princeton, N. J., 1958.
- [11]
- H. Whitney, The self intersection of a smooth
-manifold in -space, Ann. of Math. 45 (1944), 220-246. MR 0010274 (5:273g)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1966-0200934-1
PII:
S 0002-9947(1966)0200934-1
Article copyright:
© Copyright 1966 American Mathematical Society
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