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Two reductions of the Poincaré conjecture
Author(s):
G. A.
Swarup
Journal:
Bull. Amer. Math. Soc.
1
(1979),
774-777.
MSC (1970):
Primary 57A10;
Secondary 20E30, 20E40, 20J05
MathSciNet review:
537630
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Additional information
References:
- 1.
- W. Jaco and P. Shalen, Seifert fibred pairs in 3-manifolds, Mimeographed Notes, Rice University.
- 2.
- K. Johannson, Homotopy equivalences of knot spaces, preprint, Univ. Bielefeld, 1976.
- 3.
- S. Mac Lane, Homology, Springer-Verlag, Berlin and New York, 1963. MR 1344215
- 4.
- B. Maskit, A theorem on planar covering surfaces, with applications to 3-manifolds, Ann. of Math. (2) 81 (1965), 341-355. MR 172252
- 5.
- C. D. Papakyriakopoulos, A reduction of Poincaré conjecture to group-theoretic conjectures, Ann. of Math. (2) 77 (1963), 250-305. MR 145496
- 6.
- C. D. Papakyriakopoulos, Attaching 2-dimensional cells to a complex, Ann. of Math. (2) 78 (1963), 205-222. MR 154283
- 7.
- E. S. Rapaport, Proof of a conjecture of Papakyriakopoulos, Ann. of Math. (2) 79 (1964), 506-513. MR 160809
- 8.
- J. R. Stallings, How not to prove the Poincaré conjecture, Ann. of Math. Studies, vol. 60, Princeton Univ. Press, Princeton, N. J., 1966, pp. 83-88.
- 9.
- J. R. Stallings, Group theory and 3-dim. manifolds, Yale Univ. Press, 1971.
- 10.
- G. A. Swarup, Relative version of a Theorem of Stallings, J. Pure Appl. Algebra 11 (1977), 75-82. MR 466326
- 11.
- G. A. Swarup, Cable knots in homotopy spheres, preprint, Tata Institute, 1978.
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Additional Information:
DOI:
10.1090/S0273-0979-1979-14662-7
PII:
S 0273-0979(1979)14662-7
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