Equivariant function spaces and bifurcation points

Takashi MATSUOKA

doi:10.2969/jmsj/03510043

Takashi MATSUOKA

著者情報

ジャーナルフリー

1983 年 35 巻 1 号 p. 43-52

DOI https://doi.org/10.2969/jmsj/03510043

詳細

Published: 1983 Received: 1979/05/07 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) J. C. Alexander, Bifurcation of zeroes of parametrized functions, J. Functional Analysis, 29 (1978), 37-53.
2) J. C. Alexander and J. A. Yorke, Global bifurcation of periodic orbits, Amer. J. Math., 100 (1978), 263-292.
3) J. C. Becker and R. E. Schultz, Equivariant function spaces and stable homotopy theory I, Comment. Math. Helv., 49 (1974), 1-34.
4) S. N. Chow, J. Mallet-Paret and J. A. Yorke, Global Hopf bifurcation from a multiple eigenvalue, Nonlinear Analysis, 2 (1978), 753-763.
5) E. N. Dancer, Bifurcation theory for analytic operators, Proc. London Math. Soc., 26 (1973), 359-384.
6) K. D. Elworthy and A. J. Tromba, Differential structures and Fredholm maps on Banach manifolds, Global Analysis, Proc. Symp. Pure Math., 15 (1970), 45-94.
7) K. Geba, Algebraic topology methods in the theory of compact fields in Banach spaces, Fund. Math., 54 (1964), 177-209.
8) S. T. Hu, Homotopy theory, Academic Press, New York, 1959.
9) J. Ize, Bifurcation theory for Fredholm operators, Mem. Amer. Math. Soc., 174 (1976).
10) G. D. Mostow, Cohomology of topological groups and solvmanifolds, Ann. of Math., 73 (1961), 20-48.
11) J. T. Schwartz, Compact analytic mappings of B-spaces and a theorem of Jane Cronin, Comm. Pure Appl. Math., 16 (1963), 253-260.

Right : [1] J. C. Alexander, Bifurcation of zeroes of parametrized functions, J. Functional Analysis, 29 (1978), 37-53.
[2] J. C. Alexander and J. A. Yorke, Global bifurcation of periodic orbits, Amer. J. Math., 100 (1978), 263-292.
[3] J. C. Becker and R. E. Schultz, Equivariant function spaces and stable homotopy theory I, Comment. Math. Helv., 49 (1974), 1-34.
[4] S. N. Chow, J. Mallet-Paret and J. A. Yorke, Global Hopf bifurcation from a multiple eigenvalue, Nonlinear Analysis, 2 (1978), 753-763.
[5] E. N. Dancer, Bifurcation theory for analytic operators, Proc. London Math. Soc., 26 (1973), 359-384.
[6] K. D. Elworthy and A. J. Tromba, Differential structures and Fredholm maps on Banach manifolds, Global Analysis, Proc. Symp. Pure Math., 15 (1970), 45-94.
[7] K. Geba, Algebraic topology methods in the theory of compact fields in Banach spaces, Fund. Math., 54 (1964), 177-209.
[8] S. T. Hu, Homotopy theory, Academic Press, New York, 1959.
[9] J. Ize, Bifurcation theory for Fredholm operators, Mem. Amer. Math. Soc., 174 (1976).
[10] G. D. Mostow, Cohomology of topological groups and solvmanifolds, Ann. of Math., 73 (1961), 20-48.
[11] J. T. Schwartz, Compact analytic mappings of B-spaces and a theorem of Jane Cronin, Comm. Pure Appl. Math., 16 (1963), 253-260.

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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