On the mod p cohomology of the spaces of free loops on the Grassman and Stiefel manifolds

Katsuhiko KURIBAYASHI

doi:10.2969/jmsj/04320331

Katsuhiko KURIBAYASHI

Author information

JOURNAL FREE ACCESS

1991 Volume 43 Issue 2 Pages 331-346

DOI https://doi.org/10.2969/jmsj/04320331

Details

Published: 1991 Received: June 07, 1989 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) P. F. Baum, On the cohomology of homogeneous spaces, Topology, 7 (1968), 15-38.
2) D. Kraines, The A(p) cohomology of some k stage Postnikov systems, Comm. Math. Helv., 48 (1973), 66-71.
3) D. Kraines, The kernel of the loop map, Illinois J. Math., 21 (1977), 91-108.
4) H. Matsumura, Commutative Algebra (second edition), Benjamin, 1980.
5) L. Smith, On the characteristic zero cohomology of the free loop space, Amer. J. Math., 103 (1981), 887-910.
6) L. Smith, The Eilenberg-Moore spectral sequence and the mod 2 cohomology of certain free loop spaces, Illinois J. Math., 28 (1984), 516-522.
7) J. Tate, Homology of Noetherian rings and local rings, Illinois J. Math., 1 (1956), 14-27.

Right : [1] P. F. Baum, On the cohomology of homogeneous spaces, Topology, 7 (1968), 15-38.
[2] D. Kraines, The A(p) cohomology of some k stage Postnikov systems, Comm. Math. Helv., 48 (1973), 66-71.
[3] D. Kraines, The kernel of the loop map, Illinois J. Math., 21 (1977), 91-108.
[4] H. Matsumura, Commutative Algebra (second edition), Benjamin, 1980.
[5] L. Smith, On the characteristic zero cohomology of the free loop space, Amer. J. Math., 103 (1981), 887-910.
[6] L. Smith, The Eilenberg-Moore spectral sequence and the mod 2 cohomology of certain free loop spaces, Illinois J. Math., 28 (1984), 516-522.
[7] J. Tate, Homology of Noetherian rings and local rings, Illinois J. Math., 1 (1956), 14-27.

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

Corresponding author

Correction information

Register with J-STAGE for free!