Borsuk-Ulam theorem and Stiefel manifolds Dedicated to Professor Haruo Suzuki on his sixtieth birthday

Katsuhiro KOMIYA

doi:10.2969/jmsj/04540611

Borsuk-Ulam theorem and Stiefel manifolds

Dedicated to Professor Haruo Suzuki on his sixtieth birthday

Katsuhiro KOMIYA

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JOURNAL FREE ACCESS

1993 Volume 45 Issue 4 Pages 611-626

DOI https://doi.org/10.2969/jmsj/04540611

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Published: 1993 Received: November 05, 1991 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) G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972.
2) E. Fadell and S. Husseini, An ideal-valued cohomological index theory with applications to Borsuk-Ulam and Bourgin-Yang theorem, Ergodic Theory Dynamical Systems, 8^* (1988), 73-85.
3) E. Fadell, Ideal-valued generalizations of Ljusternik-Schnirelmann category, with applications, Topics in equivariant topology, (eds. E. Fadell, et al.), Sém. Math. Sup., 108, Presses Univ. Montreal, 1989, pp. 11-54.
4) J. Jaworowski, Maps of Stief el manifolds and a Borsuk-Ulam theorem, Proc. Edinb. Math. Soc., 32 (1989), 271-279.
5) J. Jaworowski, A Borsuk-Ulam theorem for O(m), Topics in equivariant topology, (eds. E. Fadell, et al.), Sém. Math. Sup., 108, Presses Univ. Montreal, 1989, pp. 107-118.
6) J. W. Milnor and J. D. Stasheff, Characteristic classes, Ann. of Math. Stud., 76, Princeton University Press, Princeton, 1974.
7) R. S. Palais, The classification of G-spaces, Mem. Amer. Math. Soc., 36, Amer. Math. Soc., 1972.
8) E. H. Spanier, Algebraic topology, McGraw-Hill, New York, 1966.
9) N. Steenrod, The topology of fibre bundles, Princeton Univ. Press, Princeton, 1951.
10) H. Steinlein, Borsuk's antipodal theorem and its generalizations and applications: A survey, Méthodes topologiques en analyse non linéaire, (ed. A. Granas), Sém. Math. Sup., 95, Presses Univ. Montreal, 1985, pp. 166-235.

Right : [1] G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972.
[2] E. Fadell and S. Husseini, An ideal-valued cohomological index theory with applications to Borsuk-Ulam and Bourgin-Yang theorem, Ergodic Theory Dynamical Systems, 8^* (1988), 73-85.
[3] E. Fadell, Ideal-valued generalizations of Ljusternik-Schnirelmann category, with applications, Topics in equivariant topology, (eds. E. Fadell, et al.), Sém. Math. Sup., 108, Presses Univ. Montreal, 1989, pp. 11-54.
[4] J. Jaworowski, Maps of Stiefel manifolds and a Borsuk-Ulam theorem, Proc. Edinb. Math. Soc., 32 (1989), 271-279.
[5] J. Jaworowski, A Borsuk-Ulam theorem for O(m), Topics in equivariant topology, (eds. E. Fadell, et al.), Sém. Math. Sup., 108, Presses Univ. Montreal, 1989, pp. 107-118.
[6] J. W. Milnor and J. D. Stasheff, Characteristic classes, Ann. of Math. Stud., 76, Princeton University Press, Princeton, 1974.
[7] R. S. Palais, The classification of G-spaces, Mem. Amer. Math. Soc., 36, Amer. Math. Soc., 1972.
[8] E. H. Spanier, Algebraic topology, McGraw-Hill, New York, 1966.
[9] N. Steenrod, The topology of fibre bundles, Princeton Univ. Press, Princeton, 1951.
[10] H. Steinlein, Borsuk's antipodal theorem and its generalizations and applications: A survey, Méthodes topologiques en analyse non linéaire, (ed. A. Granas), Sém. Math. Sup., 95, Presses Univ. Montreal, 1985, pp. 166-235.

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

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