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

Yasuhiko KITADA

doi:10.2969/jmsj/02820343

Yasuhiko KITADA

著者情報

ジャーナルフリー

1976 年 28 巻 2 号 p. 343-359

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

詳細

Published: 1976 Received: 1975/05/06 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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