Determination of homotopy spheres that admit free actions of finite cyclic groups

Yasuhiko KITADA

doi:10.2969/jmsj/02820343

Yasuhiko KITADA

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 2 Pages 343-359

DOI https://doi.org/10.2969/jmsj/02820343

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Published: 1976 Received: May 06, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) W. Browder, Free Z_p-actions on homotopy spheres, Topology of manifolds, Proc. Univ. Georgia, 1969, 217-226.
2) W. Browder, Cobordism invariants, the Kervaire invariant and fixed point free involutions, Trans. Amer. Math. Soc., 178 (1973), 193-225.
3) G. W. Brumfiel, Homotopy equivalence of almost smooth manifolds, Proceedings of symposia in pure mathematics, XXII, Algebraic Topology, Amer. Math. Soc., 1971, 73-79.
4) P. E. Conner and E. E. Floyd, Differentiable periodic maps, Springer, 1964.
5) C. H. Giffen, Desuspendability of free involutions on Brieskorn spheres, Bull. Amer. Math. Soc., 75 (1969), 426-429.
6) S. Lopez de Medrano, Involutions on manifolds, Springer, 1971.
7) J. W. Morgan and D. P. Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math., 99 (1974), 463-544.
8) P. Olum, Mappings of manifolds and the notion of degree, Ann. of Math., 58 (1953), 458-480.
9) P. Orlik, Smooth homotopy lens spaces, Michigan Math. J., 16 (1969), 245-255.
10) F. Quinn, Almost canonical inverse images, Comm. Math. Helv., 49 (1974), 168-174.
11) C. P. Rourke and D. P. Sullivan, On the Kervaire obstruction, Ann. of Math., 94 (1971), 397-413.
12) D. P. Sullivan, Triangulating and smoothing homotopy equivalences and homeomorphisms, Geometric Topology Seminar Notes (mimeographed), Princeton Univ., 1967.
13) C. T. C. Wall, Surgery on compact manifolds, Academic Press, 1970.

Right : [1] W. Browder, Free Z_p-actions on homotopy spheres, Topology of manifolds, Proc. Univ. Georgia, 1969, 217-226.
[2] W. Browder, Cobordism invariants, the Kervaire invariant and fixed point free involutions, Trans. Amer. Math. Soc., 178 (1973), 193-225.
[3] G. W. Brumfiel, Homotopy equivalence of almost smooth manifolds, Proceedings of symposia in pure mathematics, XXII, Algebraic Topology, Amer. Math. Soc., 1971, 73-79.
[4] P. E. Conner and E. E. Floyd, Differentiable periodic maps, Springer, 1964.
[5] C. H. Giffen, Desuspendability of free involutions on Brieskorn spheres, Bull. Amer. Math. Soc., 75 (1969), 426-429.
[6] S. Lopez de Medrano, Involutions on manifolds, Springer, 1971.
[7] J. W. Morgan and D. P. Sullivan, The transversality characteristic class and linking cycles in surgery theory, Ann. of Math., 99 (1974), 463-544.
[8] P. Olum, Mappings of manifolds and the notion of degree, Ann. of Math., 58 (1953), 458-480.
[9] P. Orlik, Smooth homotopy lens spaces, Michigan Math. J., 16 (1969), 245-255.
[10] F. Quinn, Almost canonical inverse images, Comm. Math. Helv., 49 (1974), 168-174.
[11] C. P. Rourke and D. P. Sullivan, On the Kervaire obstruction, Ann. of Math., 94 (1971), 397-413.
[12] D. P. Sullivan, Triangulating and smoothing homotopy equivalences and homeomorphisms, Geometric Topology Seminar Notes (mimeographed), Princeton Univ., 1967.
[13] C. T. C. Wall, Surgery on compact manifolds, Academic Press, 1970.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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