Stiefel-Whitney homology classes and homotopy type of Euler spaces

Akinori MATSUI; Hajime SATO

doi:10.2969/jmsj/03730437

Akinori MATSUI, Hajime SATO

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JOURNAL FREE ACCESS

1985 Volume 37 Issue 3 Pages 437-453

DOI https://doi.org/10.2969/jmsj/03730437

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Published: 1985 Received: May 28, 1984 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: AFFILIATION Details: Wrong :
1) Ichinoseki Technical College
2) Mathematical Institute Tohoku University

Right :
1) Ichinoseki Technical College
2) Mathematical Institute Tôhoku University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Akin, Stiefel-Whitney homology classes and bordism, Trans. Amer. Math. Soc., 205 (1975), 341-359.
2) J. Blanton and C. McCrory, An axiomatic proof of Stiefel's conjecture, Proc. Amer. Math. Soc., 77 (1979), 409-414.
3) J. Cheeger, A combinatorial formula for Stiefel-Whitney classes, Topology of Manifolds, Markham Publ., Chicago, 1971, 470-471.
4) W. Fulton and R. MacPherson, Categorical framework for the study of singular spaces, Mem. Amer. Math. Soc., 243 (1981).
5) R. Goldstein, A Wu formula for Euler mod 2 spaces, Compositio Math., 32 (1976), 33-39.
6) S. Halperin and D. Toledo, Stiefel-Whitney homology classes, Ann. of Math., 96 (1972), 511-525.
7) S. Halperin and D. Toledo, The product formula for Stiefel-Whitney homology classes, Proc. Amer. Math. Soc., 48 (1975), 239-244.
8) A. Matsui, Stiefel-Whitney homology classes of Z₂-Poincaré-Euler spaces, Tohoku Math. J., 35 (1983), 321-339.
9) D. Sullivan, Combinatorial invariants of analytic spaces, Proc. Liverpool Singularities I, Lecture Notes in Math., 192, Springer, 1971, 165-168.
10) L. Taylor, Stiefel-Whitney homology classes, Quart. J. Oxford, 28(1977), 381-387.
11) D. Veljan, Axioms for Stiefel-Whitney homology classes of some singular spaces, Trans. Amer. Math. Soc., 277 (1983), 285-305.

Right : [1] E. Akin, Stiefel-Whitney homology classes and bordism, Trans. Amer. Math. Soc., 205 (1975), 341-359.
[2] J. Blanton and C. McCrory, An axiomatic proof of Stiefel's conjecture, Proc. Amer. Math. Soc., 77 (1979), 409-414.
[3] J. Cheeger, A combinatorial formula for Stiefel-Whitney classes, Topology of Manifolds, Markham Publ., Chicago, 1971, 470-471.
[4] W. Fulton and R. MacPherson, Categorical framework for the study of singular spaces, Mem. Amer. Math. Soc., 243 (1981).
[5] R. Goldstein, A Wu formula for Euler mod 2 spaces, Compositio Math., 32 (1976), 33-39.
[6] S. Halperin and D. Toledo, Stiefel-Whitney homology classes, Ann. of Math., 96 (1972), 511-525.
[7] S. Halperin and D. Toledo, The product formula for Stiefel-Whitney homology classes, Proc. Amer. Math. Soc., 48 (1975), 239-244.
[8] A. Matsui, Stiefel-Whitney homology classes of Z₂-Poincaré-Euler spaces, Tôhoku Math. J., 35 (1983), 321-339.
[9] D. Sullivan, Combinatorial invariants of analytic spaces, Proc. Liverpool Singularities I, Lecture Notes in Math., 192, Springer, 1971, 165-168.
[10] L. Taylor, Stiefel-Whitney homology classes, Quart. J. Oxford, 28(1977), 381-387.
[11] D. Veljan, Axioms for Stiefel-Whitney homology classes of some singular spaces, Trans. Amer. Math. Soc., 277 (1983), 285-305.

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

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