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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1997 Volume 49 Issue 3 Pages 439-453

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

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Published: 1997 Received: May 18, 1995 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: SUBTITLE Details: Wrong : Dedicated to Professor Tsuyoshi Watabe on his sixtieth birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

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