References
E. Artin,Zur Isotopie zweidimensionaler Flächen in R 4, Abh. Math. Sem. Univ. Hamburg4 (1926), 174–177.
W. Browder,Diffeomorphisms of 1-connected manifolds, Trans. Amer. Math. Soc.128 (1967), 155–163.
S. Cappell,Superspinning and knot complements, inTopology of Manifolds, Markham, Chicago, Ill., 1970, 358–383.
S. E. Cappell andJ. L. Shaneson,There exist inequivalent knots with the same complement, Ann. of Math.103 (1976), 349–353.
C. H. Giffen,The generalized Smith conjecture, Amer. J. Math.88 (1966), 187–198.
H. Gluck,The embedding of two-spheres in the four-sphere, Trans. Amer. Math. Soc.104 (1962), 308–333.
C. McA. Gordon,Twist-spun torus knots, Proc. Amer. Math. Soc.32 (1972), 319–322.
C. McA. Gordon,Some higher-dimensional knots with the same homotopy groups, Quart. J. Math. Oxford24 (1973), 411–422.
C. McA. Gordon,On the higher-dimensional Smith conjecture, Proc. London Math. Soc.29 (1974), 98–110.
M. Kato,A concordance classification of PL homeomorphisms of S p × S q, Topology8 (1969), 371–383.
R. K. Lashof andJ. L. Shaneson,Classification of knots in codimension two, Bull. Amer. Math. Soc.75 (1969), 171–175.
B. Mazur,Symmetric homology spheres, Illinois J. Math.6 (1962), 245–250.
H. Seifert,Topologie dreidimensionaler gefaserter Räume, Acta. Math.60 (1933), 147–238.
D. W. Sumners,Smooth Z p -actions on spheres which leave knots pointwise fixed, Trans. Amer. Math. Soc.205 (1975), 193–203.
G. A. Swarup,A note on higher dimensional knots, Math. Zeit.121 (1971), 141–144.
F. Waldhausen,On irreducible 3-manifolds which are sufficiently large, Ann. Math.87 (1968), 56–88.
J. H. C. Whitehead,On doubled knots, J. London Math. Soc.12 (1937), 63–71.
E. C. Zeeman,Twisting spun knots, Trans. Amer. Math. Soc.115 (1965), 471–495.
Author information
Authors and Affiliations
Additional information
Supported by a Science Research Council Postdoctoral Research Fellowship.
Rights and permissions
About this article
Cite this article
Gordon, C.M. Knots in the 4-sphere. Commentarii Mathematici Helvetici 51, 585–596 (1976). https://doi.org/10.1007/BF02568175
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02568175