Nonlocally flat embeddings, smoothings, and group actions

Cappell, Sylvain E.; Shaneson, Julius L.

doi:10.1090/S0002-9904-1973-13211-2

Authors: Sylvain E. Cappell and Julius L. Shaneson
Journal: Bull. Amer. Math. Soc. 79 (1973), 577-582
MSC (1970): Primary 57A40, 57A45, 57C35, 57C40, 57C45, 57E10; Secondary 55A25, 57C25, 57D65
DOI: https://doi.org/10.1090/S0002-9904-1973-13211-2
MathSciNet review: 0321102
Full-text PDF Free Access

Sylvain E. Cappell and Julius L. Shaneson, Topological knots and knot cobordism, Topology 12 (1973), 33–40. MR 321099, https://doi.org/10.1016/0040-9383(73)90020-7
Sylvain E. Cappell and Julius L. Shaneson, Submanifolds, group actions and knots. I, II, Bull. Amer. Math. Soc. 78 (1972), 1045–1048; ibid. 78 (1972), 1049–1052. MR 383432, https://doi.org/10.1090/S0002-9904-1972-13103-3
Sylvain E. Cappell and Julius L. Shaneson, Submanifolds, group actions and knots. I, II, Bull. Amer. Math. Soc. 78 (1972), 1045–1048; ibid. 78 (1972), 1049–1052. MR 383432, https://doi.org/10.1090/S0002-9904-1972-13103-3
Sylvain E. Cappell and Julius L. Shaneson, The codimension two placement problem and homology equivalent manifolds, Ann. of Math. (2) 99 (1974), 277–348. MR 339216, https://doi.org/10.2307/1970901
[CS5]S. E. Cappell and J. L. Shaneson, (to appear).
Sylvain E. Cappell and Julius L. Shaneson, Submanifolds, group actions and knots. I, II, Bull. Amer. Math. Soc. 78 (1972), 1045–1048; ibid. 78 (1972), 1049–1052. MR 383432, https://doi.org/10.1090/S0002-9904-1972-13103-3
A. Haefliger, Knotted spheres and related geometric problems, Proc. Internat. Congr. Math. (Moscow, 1966) Izdat. “Mir”, Moscow, 1968, pp. 437–445. MR 0245012
Lowell Edwin Jones, Three characteristic classes measuring the obstruction to PL local unknotedness, Bull. Amer. Math. Soc. 78 (1972), 979–980. MR 307248, https://doi.org/10.1090/S0002-9904-1972-13074-X
Mitsuyoshi Kato and Yukio Matsumoto, Simply connected surgery of submanifolds in codimension two. I, J. Math. Soc. Japan 24 (1972), 586–608. MR 307249, https://doi.org/10.2969/jmsj/02440586
Hiroshi Noguchi, Obstructions to locally flat embeddings of combinatorial manifolds, Topology 5 (1966), 203–213. MR 192499, https://doi.org/10.1016/0040-9383(66)90020-6
[SI] D. Stone, Polyhedral topology, Lecture Notes in Math., vol. 252, Springer-Verlag, Berlin and New York, 1972.
[S2] D. Sullivan, Geometric topology, Seminar Notes, Princeton University, Princeton, N. J., 1967 (mimeographed notes).
C. T. C. Wall, Surgery on compact manifolds, Academic Press, London-New York, 1970. London Mathematical Society Monographs, No. 1. MR 0431216