On the Kervaire classes of homotopy real projective spaces

Yasuhiko KITADA

doi:10.2969/jmsj/04320219

Yasuhiko KITADA

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JOURNAL FREE ACCESS

1991 Volume 43 Issue 2 Pages 219-227

DOI https://doi.org/10.2969/jmsj/04320219

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Published: 1991 Received: November 04, 1989 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: CITATION Details: Wrong : 1) J. F, Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math., 72 (1960), 20-104.
2) G. Brumfiel, I. Madsen and R. J. Milgram, FL characteristic classes and cobordism, Ann. of Math., 97 (1971), 82-159.
3) K. H. Dovermann, M. Masuda and R. Schultz, Conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 1-35.
4) C. H. Giffen, Desuspendability of free involutions on Brieskorn spheres, Bull. Amer. Math. Soc., 75 (1969), 426-429.
5) C.H. Giffen, Smooth homotopy projective spaces, Bull. Amer. Math. Soc., 75 (1969), 509-513.
6) F. Hegenbarth, and A. Heil, Exotic characteristic classes and their relation to universal surgery classes, Math. Z., 186 (1984), 211-221.
7) Y. Kitada, The desuspendability of free involutions on 9-spheres, J. Fac. Sci. Univ. of Tokyo, Sec. IA Math., 37 (1990), 243-253.
8) S. Lopez de Medrano, Involutions on manifolds, Ergebnisse der Mathematik, Springer, 1971.
9) I. Madsen and R. J. Milgram, The classifying spaces for surgery and cobordism of manifolds, Princeton Univ. Press, Princeton, 1979.
10) C. P. Rourke and D. P. Sullivan, On the Kervaire obstruction, Ann. of Math., 94 (1971), 397-413.
11) S. Stolz, A note on conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 69-73.
12) C. T. C. Wall, Surgery on compact manifolds, Academic Press, London, 1970.

Right : [1] J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math., 72 (1960), 20-104.
[2] G. Brumfiel, I. Madsen and R. J. Milgram, PL characteristic classes and cobordism, Ann. of Math., 97 (1971), 82-159.
[3] K. H. Dovermann, M. Masuda and R. Schultz, Conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 1-35.
[4] C. H. Giffen, Desuspendability of free involutions on Brieskorn spheres, Bull. Amer. Math. Soc., 75 (1969), 426-429.
[5] C. H. Giffen, Smooth homotopy projective spaces, Bull. Amer. Math. Soc., 75 (1969), 509-513.
[6] F. Hegenbarth, and A. Heil, Exotic characteristic classes and their relation to universal surgery classes, Math. Z., 186 (1984), 211-221.
[7] Y. Kitada, The desuspendability of free involutions on 9-spheres, J. Fac. Sci. Univ. of Tokyo, Sec. IA Math., 37 (1990), 243-253.
[8] S. Lopez de Medrano, Involutions on manifolds, Ergebnisse der Mathematik, Springer, 1971.
[9] I. Madsen and R. J. Milgram, The classifying spaces for surgery and cobordism of manifolds, Princeton Univ. Press, Princeton, 1979.
[10] C. P. Rourke and D. P. Sullivan, On the Kervaire obstruction, Ann. of Math., 94 (1971), 397-413.
[11] S. Stolz, A note on conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 69-73.
[12] C. T. C. Wall, Surgery on compact manifolds, Academic Press, London, 1970.

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