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Orbits of highest dimension
Authors:
D. Montgomery and C. T. Yang
Journal:
Trans. Amer. Math. Soc. 87 (1958), 284-293
MSC:
Primary 55.00; Secondary 22.00
MathSciNet review:
0100272
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
Samuel
Eilenberg and Norman
Steenrod, Foundations of algebraic topology, Princeton
University Press, Princeton, New Jersey, 1952. MR 0050886
(14,398b)
- [2]
D.
Montgomery, H.
Samelson, and L.
Zippin, Singular points of a compact transformation group,
Ann. of Math. (2) 63 (1956), 1–9. MR 0074773
(17,643g)
- [3]
D.
Montgomery, H.
Samelson, and C.
T. Yang, Exceptional orbits of highest dimension, Ann. of
Math. (2) 64 (1956), 131–141. MR 0078644
(17,1224b)
- [4]
A.
M. Gleason, Spaces with a compact Lie group of
transformations, Proc. Amer. Math. Soc. 1 (1950), 35–43. MR 0033830
(11,497e), http://dx.doi.org/10.1090/S0002-9939-1950-0033830-7
- [5]
D.
Montgomery and C.
T. Yang, The existence of a slice, Ann. of Math. (2)
65 (1957), 108–116. MR 0087036
(19,291b)
- [6]
G.
D. Mostow, Equivariant embeddings in Euclidean space, Ann. of
Math. (2) 65 (1957), 432–446. MR 0087037
(19,291c)
- [7]
P.
A. Smith, Transformations of finite period. II, Ann. of Math.
(2) 40 (1939), 690–711. MR 0000177
(1,30c)
- [8]
C.
T. Yang, Transformation groups on a homological
manifold, Trans. Amer. Math. Soc. 87 (1958), 261–283. MR 0100271
(20 #6704), http://dx.doi.org/10.1090/S0002-9947-1958-0100271-5
- [1]
- Eilenberg and Steenrod, Foundations of algebraic topology, Princeton University Press, 1952. MR 0050886 (14:398b)
- [2]
- Montgomery, Samelson, and Zippin, Singular points of a compact transformation group, Ann. of Math. vol. 63 (1956) pp. 1-9. MR 0074773 (17:643g)
- [3]
- Montgomery, Samelson, and Yang, Exceptional orbits of highest dimension, Ann. of Math. vol. 64 (1956) pp. 131-141. MR 0078644 (17:1224b)
- [4]
- Gleason, Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc vol. 1 (1950) pp. 35-43. MR 0033830 (11:497e)
- [5]
- Montgomery and Yang, Existence of a slice, Ann. of Math. vol. 65 (1957) pp. 108-116. MR 0087036 (19:291b)
- [6]
- Mostow, Equivariant embeddings and euclidean spaces, Ann. of Math. vol. 65 (1957) pp. 432-446. MR 0087037 (19:291c)
- [7]
- Smith, Transformations of finite period, II, Ann. of Math. vol. 40 (1939) pp. 690-711. MR 0000177 (1:30c)
- [8]
- Yang, Transformation groups on a homological manifold, Trans. Amer. Math. Soc. vol. 87 (1958) pp. 261-283. MR 0100271 (20:6704)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1958-0100272-7
PII:
S 0002-9947(1958)0100272-7
Article copyright:
© Copyright 1958 American Mathematical Society
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