Proceedings of the Japan Academy

A remark on the $\pi$-imbedding of homotopy spheres

Fumiko Bandō and Kiyoshi Katase
Source: Proc. Japan Acad. Volume 45, Number 6 (1969), 443-445.
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1195520720
Mathematical Reviews number (MathSciNet): MR0253351
Zentralblatt MATH identifier: 0189.24002
Digital Object Identifier: doi:10.3792/pja/1195520720

References

[1] A. Haefliger: Knotted (4/c-l)-spheres in 6/c-space. Ann. Math., 75, 452-466 (1962).
Mathematical Reviews (MathSciNet): MR145539
Zentralblatt MATH: 0105.17407
Digital Object Identifier: doi:10.2307/1970208
[2] W. C. Hsiang, J. Levine, and R. H. Szczarba: On the normal bundle of a homotopy sphere embedded in Euclidean space. Topology, 3,173-181 (1965).
Mathematical Reviews (MathSciNet): MR175138
Zentralblatt MATH: 0127.13702
Digital Object Identifier: doi:10.1016/0040-9383(65)90041-8
[3] K. Katase: /7-imbeddings of homotopy spheres. Proc. Japan Acad., 44, 573-575 (1968).
Mathematical Reviews (MathSciNet): MR235570
Zentralblatt MATH: 0189.24001
Digital Object Identifier: doi:10.3792/pja/1195521068
Project Euclid: euclid.pja/1195521068
[4] M. Kervaire: An interpretation of G. Whitehead's generalization of the Hopf invariant. Ann. Math., 69, 345-364 (1959).
Zentralblatt MATH: 0088.39205
[5] M. Kervaire and J. Milnor: Groups of homotopy spheres. I. Ann. Math., 77, 504-537 (1963).
Mathematical Reviews (MathSciNet): MR148075
Zentralblatt MATH: 0115.40505
Digital Object Identifier: doi:10.2307/1970128
[6] J. Levine: A classification of differentiable knots. Ann. Math., 82, 15-50 (1965).
Mathematical Reviews (MathSciNet): MR180981
Zentralblatt MATH: 0136.21102
Digital Object Identifier: doi:10.2307/1970561
[7] H. Toda: Composition methods in homotopy groups of spheres. Ann. Math. Studies, No. 49 (1962).
Mathematical Reviews (MathSciNet): MR143217
Zentralblatt MATH: 0101.40703

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