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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Two reductions of the Poincaré conjecture
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by G. A. Swarup PDF
Bull. Amer. Math. Soc. 1 (1979), 774-777
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.
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  • C. D. Papakyriakopoulos, A reduction of the Poincaré conjecture to group theoretic conjectures, Ann. of Math. (2) 77 (1963), 250–305. MR 145496, DOI 10.2307/1970216
  • C. D. Papakyriakopoulos, Attaching $2$-dimensional cells to a complex, Ann. of Math. (2) 78 (1963), 205–222. MR 154283, DOI 10.2307/1970340
  • Elvira Strasser Rapaport, Proof of a conjecture of Papakyriakopoulos, Ann. of Math. (2) 79 (1964), 506–513. MR 160809, DOI 10.2307/1970407
    • 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.
  • G. Ananda Swarup, Relative version of a theorem of Stallings, J. Pure Appl. Algebra 11 (1977/78), no. 1-3, 75–82. MR 466326, DOI 10.1016/0022-4049(77)90042-1
    • 11. G. A. Swarup, Cable knots in homotopy spheres, preprint, Tata Institute, 1978.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 1 (1979), 774-777
  • MSC (1970): Primary 57A10; Secondary 20E30, 20E40, 20J05
  • DOI: https://doi.org/10.1090/S0273-0979-1979-14662-7
  • MathSciNet review: 537630