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Two reductions of the Poincaré conjecture
Author:
G. A. Swarup
Journal:
Bull. Amer. Math. Soc. 1 (1979), 774-777
MSC (1970):
Primary 57A10; Secondary 20E30, 20E40, 20J05
MathSciNet review:
537630
Full-text PDF
References |
Similar Articles |
Additional Information
- 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.
Saunders
Mac Lane, Homology, Classics in Mathematics, Springer-Verlag,
Berlin, 1995. Reprint of the 1975 edition. MR 1344215
(96d:18001)
- 4.
Bernard
Maskit, A theorem on planar covering surfaces with applications to
3-manifolds, Ann. of Math. (2) 81 (1965),
341–355. MR 0172252
(30 #2472)
- 5.
C.
D. Papakyriakopoulos, A reduction of the Poincaré conjecture
to group theoretic conjectures, Ann. of Math. (2) 77
(1963), 250–305. MR 0145496
(26 #3027)
- 6.
C.
D. Papakyriakopoulos, Attaching 2-dimensional cells to a
complex, Ann. of Math. (2) 78 (1963), 205–222.
MR
0154283 (27 #4232)
- 7.
Elvira
Strasser Rapaport, Proof of a conjecture of Papakyriakopoulos,
Ann. of Math. (2) 79 (1964), 506–513. MR 0160809
(28 #4019)
- 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.
Ananda Swarup, Relative version of a theorem of Stallings, J.
Pure Appl. Algebra 11 (1977/78), no. 1–3,
75–82. MR
0466326 (57 #6206)
- 11.
G. A. Swarup, Cable knots in homotopy spheres, preprint, Tata Institute, 1978.
- 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:
http://dx.doi.org/10.1090/S0273-0979-1979-14662-7
PII:
S 0273-0979(1979)14662-7
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