Equivariant s-cobordism theorems

Shôrô ARAKI; Katsuo KAWAKUBO

doi:10.2969/jmsj/04020349

Shôrô ARAKI, Katsuo KAWAKUBO

著者情報

ジャーナルフリー

1988 年 40 巻 2 号 p. 349-367

DOI https://doi.org/10.2969/jmsj/04020349

詳細

Published: 1988 Received: 1985/11/27 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: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Itiro Tamura on his 60th birthday

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Shoro ARAKI¹⁾, Katsuo KAWAKUBO²⁾
Right : Shôrô ARAKI¹⁾, Katsuo KAWAKUBO²⁾

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) D. R. Anderson, Torsion invariants and actions of finite groups, Michigan Math. J., 29 (1982), 27-42.
2) S. Araki, Equivariant Whitehead groups and G-expansion categories, to appear.
3) M. M. Cohen, A course in simple homotopy theory, Graduate Texts in Math., 10, Springer, 1973.
4) H. Hauschild, Äquivariante Whiteheadtorsion, Manuscripta Math., 26 (1978), 63-82.
5) M. W. Hirsch, On tangential equivalence of manifolds, Ann. of Math., 83 (1966), 211-217.
6) S. Illman, Whitehead torsion and group actions, Ann. Acad. Sci. Fenn., Ser. AI, 558 (1974), 1-45.
7) S. Illman, Smooth equivariant triangulations of G-manifolds for G a finite group, Math. Ann., 233 (1978), 199-220.
8) S. Illman, Actions of compact Lie groups and the equivariant Whitehead group, preprint, Purdue University, 1983, to appear in Osaka J. Math.
9) S. Illman, Equivariant Whitehead torsion and actions of compact Lie groups, Contemp. Math., 36 (1985), 91-106.
10) I. M. James and G. B. Segal, On equivariant homotopy type, Topology, 17 (1978), 267-272.
11) K. Kawakubo, Compact Lie group actions and fiber homotopy type, J. Math. Soc. Japan, 33 (1981), 295-321.
12) K. Kawakubo, Stable equivalence of G-manifolds, to appear.
13) T. Matumoto and M. Shiota, Unique triangulation of the orbit space of a differentiable transformation group and its applications, to appear.
14) B. Mazur, Stable equivalence of differentiable manifolds, Bull. Amer. Math. Soc., 67 (1961), 377-384.
15) B. Mazur, Relative neighborhoods and the theorem of Smale, Ann. of Math., 77 (1963), 232-249.
16) J. Milnor, Whitehead torsion, Bull. Amer. Math. Soc., 72 (1966), 358-426.
17) M. Rothenberg, Torsion invariants and finite transformation groups, Proc. Symp. in Pure Math., Amer. Math. Soc., 32 (1978), 267-311.
18) M. Steinberger and J. West, Equivariant h-cobordisms and finiteness obstruction, Bull. Amer. Math. Soc., 12 (1985), 217-220.
19) J. B. Wagoner, Diffeomorphisms, K₂, and analytic torsion, Proc. Symp. in Pure Math., Amer. Math. Soc., 32 (1978), 23-33.
20) W. Browder and F. Quinn, A surgery theory for G-manifolds and stratified sets, Manifolds, Univ. of Tokyo Press, Tokyo, 1973.

Right : [1] D. R. Anderson, Torsion invariants and actions of finite groups, Michigan Math. J., 29 (1982), 27-42.
[2] S. Araki, Equivariant Whitehead groups and G-expansion categories, to appear.
[3] M. M. Cohen, A course in simple homotopy theory, Graduate Texts in Math., 10, Springer, 1973.
[4] H. Hauschild, Äquivariante Whiteheadtorsion, Manuscripta Math., 26 (1978), 63-82.
[5] M. W. Hirsch, On tangential equivalence of manifolds, Ann. of Math., 83 (1966), 211-217.
[6] S. Illman, Whitehead torsion and group actions, Ann. Acad. Sci. Fenn., Ser. AI, 558 (1974), 1-45.
[7] S. Illman, Smooth equivariant triangulations of G-manifolds for G a finite group, Math. Ann., 233 (1978), 199-220.
[8] S. Illman, Actions of compact Lie groups and the equivariant Whitehead group, preprint, Purdue University, 1983, to appear in Osaka J. Math.
[9] S. Illman, Equivariant Whitehead torsion and actions of compact Lie groups, Contemp. Math., 36 (1985), 91-106.
[10] I. M. James and G. B. Segal, On equivariant homotopy type, Topology, 17 (1978), 267-272.
[11] K. Kawakubo, Compact Lie group actions and fiber homotopy type, J. Math. Soc. Japan, 33 (1981), 295-321.
[12] K. Kawakubo, Stable equivalence of G-manifolds, to appear.
[13] T. Matumoto and M. Shiota, Unique triangulation of the orbit space of a differentiable transformation group and its applications, to appear.
[14] B. Mazur, Stable equivalence of differentiable manifolds, Bull. Amer. Math. Soc., 67 (1961), 377-384.
[15] B. Mazur, Relative neighborhoods and the theorem of Smale, Ann. of Math., 77 (1963), 232-249.
[16] J. Milnor, Whitehead torsion, Bull. Amer. Math. Soc., 72 (1966), 358-426.
[17] M. Rothenberg, Torsion invariants and finite transformation groups, Proc. Symp. in Pure Math., Amer. Math. Soc., 32 (1978), 267-311.
[18] M. Steinberger and J. West, Equivariant h-cobordisms and finiteness obstruction, Bull. Amer. Math. Soc., 12 (1985), 217-220.
[19] J. B. Wagoner, Diffeomorphisms, K₂, and analytic torsion, Proc. Symp. in Pure Math., Amer. Math. Soc., 32 (1978), 23-33.
[20] W. Browder and F. Quinn, A surgery theory for G-manifolds and stratified sets, Manifolds, Univ. of Tokyo Press, Tokyo, 1973.

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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