Self maps of spaces

Yutaka HEMMI; Kaoru MORISUGI; Hideaki OSHIMA

doi:10.2969/jmsj/04930439

Self maps of spaces

Yutaka HEMMI, Kaoru MORISUGI, Hideaki OSHIMA

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ジャーナルフリー

1997 年 49 巻 3 号 p. 439-453

DOI https://doi.org/10.2969/jmsj/04930439

詳細

Published: 1997 Received: 1995/05/18 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 Tsuyoshi Watabe on his sixtieth birthday

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) R. F. Brown, The Lefschetz fixed point theorem, Scott-Foresman, Glenview, 1971.
2) E. M. Friedlander, Exceptional isogenies and the classifying spaces of simple Lie groups, Ann. of Math., 101 (1975), 510-520.
3) H. Glover and B. Homer, Endomorphisms of the cohomology ring of finite Grassmann manifolds, Geometric applications of homotopy theories, Springer Lect. Notes Math., 657 (1977), 170-193.
4) D. Haibao, The Lefschetz number of self-maps of Lie groups, Proc. Amer. Math. Soc., 104 (1988), 1284-1286.
5) D. Haibao, A characteristic polynomial for self-maps of H-spaces, Quart. J. Math., 44 (1993), 315-325.
6) Y. Hemmi, K. Morisugi and H. Oshima, Self maps of sphere bundles over spheres, Memoirs Fac. Sci. Kochi Univ., 16 (1995), 71-80.
7) Y. Hemmi, K. Morisugi and H. Oshima, Correction to “Self maps of sphere bundles over spheres”. Memoirs Fac. Sci. Kochi Univ. 17 (1996), 141-142.
8) P. Hilton, G. Mislin and J. Roitberg, Localization of nilpotent groups and spaces, Math. Studies, vol. 15, North-Holland, Amsterdam, 1975.
9) K. Morisugi and H. Oshima, Cohomology classification of self maps of sphere bundles over spheres, Publ. Res. Inst. Math. Sci. Kyoto Univ. 32 (1966), 163-189.
10) E.H. Spanier, Algebraic topology, McGraw-Hill, New York, 1966.
11) S. Stasheff, H-spaces from a homotopy point of view, Lecture Notes in Math., vol. 161, Springer, Berlin, 1970.
12) D. Sullivan, Geometric topology I, Mimeographed notes, M. I. T., 1970.
13) E. Thomas, Seminar on fiber spaces, Lecture Notes in Math., vol. 13, Springer, Berlin, 1966.
14) C. W. Wilkerson, Self maps of classifying spaces, Localization in group theory and homotopy theory, Lecture Notes in Math., vol. 418, Springer, Berlin, 1974, pp. 150-171.

Right : [1] R. F. Brown, The Lefschetz fixed point theorem, Scott-Foresman, Glenview, 1971.
[2] E. M. Friedlander, Exceptional isogenies and the classifying spaces of simple Lie groups, Ann. of Math., 101 (1975), 510-520.
[3] H. Glover and B. Homer, Endomorphisms of the cohomology ring of finite Grassmann manifolds, Geometric applications of homotopy theories, Springer Lect. Notes Math., 657 (1977), 170-193.
[4] D. Haibao, The Lefschetz number of self-maps of Lie groups, Proc. Amer. Math. Soc., 104 (1988), 1284-1286.
[5] D. Haibao, A characteristic polynomial for self-maps of H-spaces, Quart. J. Math., 44 (1993), 315-325.
[6] Y. Hemmi, K. Morisugi and H. Oshima, Self maps of sphere bundles over spheres, Memoirs Fac. Sci. Kochi Univ., 16 (1995), 71-80.
[7] Y. Hemmi, K. Morisugi and H. Oshima, Correction to “Self maps of sphere bundles over spheres” Memoirs Fac. Sci. Kochi Univ. 17 (1996), 141-142.
[8] P. Hilton, G. Mislin and J. Roitberg, Localization of nilpotent groups and spaces, Math. Studies, vol. 15, North-Holland, Amsterdam, 1975.
[9] K. Morisugi and H. Oshima, Cohomology classification of self maps of sphere bundles over spheres, Publ. Res. Inst. Math. Sci. Kyoto Univ. 32 (1966), 163-189.
[10] E.H. Spanier, Algebraic topology, McGraw-Hill, New York, 1966.
[11] S. Stasheff, H-spaces from a homotopy point of view, Lecture Notes in Math., vol. 161, Springer, Berlin, 1970.
[12] D. Sullivan, Geometric topology I, Mimeographed notes, M. I. T., 1970.
[13] E. Thomas, Seminar on fiber spaces, Lecture Notes in Math., vol. 13, Springer, Berlin, 1966.
[14] C. W. Wilkerson, Self maps of classifying spaces, Localization in group theory and homotopy theory, Lecture Notes in Math., vol. 418, Springer, Berlin, 1974, pp. 150-171.

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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