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References
J.M. Boardman and R.M. Vogt, Homotopy-everything H-spaces, Bull. Amer. Math. Soc. 74 (1968), 1117–1122.
W. Browder, Surgery and the theory of differentiable transformation groups, Proceedings of the Conference on Transformation Groups (New Orleans, 1967), 1–46. Springer-Verlag, New York, 1968.
_____, and T. Petrie, Semifree and quasifree S1 actions on homotopy spheres, Essays on Topology and Related Topics (Memoires dediés à G. de Rham), 136–146. Springer-Verlag, New York, 1970.
_____, Diffeomorphisms of manifolds and semifree actions of homotopy spheres, Bull. Amer. Math. Soc. 77 (1971), 160–163.
H. Federer, A study of function spaces by spectral sequences, Trans. Amer. Math. Soc. 82 (1956), 340–361.
K. Kawakubo, Invariants for semifree S1 actions, mimeographed, Institute for Advanced Study, Princeton, 1971.
M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. 78 (1963), 514–537.
H.-T. Ku, A note on semifree actions of S1 on homotopy spheres, Proc. Amer. Math. Soc. 22 (1969), 614–617.
_____, and M.-C. Ku, Semifree differentiable actions of S1 on homotopy (4k+3)-spheres, Mich. Math. J. 15 (1968), 471–476.
C.P. Rourke, The Hauptvermutung according to Sullivan, mimeographed, Institute for Advanced Study, Princeton, 1968.
R. Schultz, Semifree circle actions and the degree of symmetry of homotopy spheres, Amer. J. Math., to appear.
J.-P. Serre, Groupes d'homotopie et classes des groupes abeliens, Ann. of Math. 58 (1953), 258–294.
D. Sullivan, Geometric Topology I: Localization, periodicity, and Galois symmetry, mimeographed, Massachusets Institute of Technology, 1970.
H. Toda, Composition Methods in Homotopy Groups of Spheres, Annals of Mathematics Study No. 49. Princeton University Press, Princeton. 1962.
_____, On iterated suspensions I, J. Math. Kyoto Univ. 5 (1965–1966), 87–142. Ibid. II, 209–250.
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Schultz, R. (1972). Semifree circle actions with twisted fixed point sets. In: Ku, H.T., Mann, L.N., Sicks, J.L., Su, J.C. (eds) Proceedings of the Second Conference on Compact Transformation Groups. Lecture Notes in Mathematics, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070034
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