On the space of self homotopy equivalences of the projective plane

Tsuneyo YAMANOSHITA

doi:10.2969/jmsj/04530489

Tsuneyo YAMANOSHITA

Author information

JOURNAL FREE ACCESS

1993 Volume 45 Issue 3 Pages 489-494

DOI https://doi.org/10.2969/jmsj/04530489

Details

Published: 1993 Received: February 03, 1992 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) G.E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972.
2) T. tom Dieck, Transformation groups, de Gruyter Studies in Math., 8, Berlin-New York, 1987.
3) C.J. Earle and J. Eells, A fibre bundle description of Teichmuller theory, J. Differential Geom., 3 (1969), 19-43.
4) D.H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math., 87 (1965), 840-856.
5) M.-E. Hamstrom, Homotopy properties of the space of homeomorphisms on P² and the Klein bottle, Trans. Amer. Math. Soc., 120 (1965), 37-45.
6) O. Hanner, Some theorems on absolute neighbourhood retracts, Arkiv Mat., 1 (1951), 389-408.
7) V.L. Hansen, The homotopy groups of a space of maps between oriented closedsurfaces, Bull. London Math. Soc., 15 (1983), 360-364.
8) S.T. Hu, Theory of retracts, Wayne State Univ. Press, Detroit, 1965.
9) J. Milnor, On spaces having the homotopy type of a CW-complex, Trans. Amer. Math. Soc., 90 (1959), 272-280.
10) T. Yamanoshita, On the spaces of self homotopy equivalences of certain CW-complexes, J. Math. Soc. Japan, 37 (1985), 455-470.

Right : [1] G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972.
[2] T. tom Dieck, Transformation groups, de Gruyter Studies in Math., 8, Berlin-New York, 1987.
[3] C. J. Earle and J. Eells, A fibre bundle description of Teichmüller theory, J. Differential Geom., 3 (1969), 19-43.
[4] D. H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math., 87 (1965), 840-856.
[5] M.-E. Hamstrom, Homotopy properties of the space of homeomorphisms on P² and the Klein bottle, Trans. Amer. Math. Soc., 120 (1965), 37-45.
[6] O. Hanner, Some theorems on absolute neighbourhood retracts, Arkiv Mat., 1 (1951), 389-408.
[7] V. L. Hansen, The homotopy groups of a space of maps between oriented closed surfaces, Bull. London Math. Soc., 15 (1983), 360-364.
[8] S. T. Hu, Theory of retracts, Wayne State Univ. Press, Detroit, 1965.
[9] J. Milnor, On spaces having the homotopy type of a CW-complex, Trans. Amer. Math. Soc., 90 (1959), 272-280.
[10] T. Yamanoshita, On the spaces of self homotopy equivalences of certain CW-complexes, J. Math. Soc. Japan, 37 (1985), 455-470.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!