Simply connected surgery of submanifolds in codimension two I

Mitsuyoshi KATO; Yukio MATSUMOTO

doi:10.2969/jmsj/02440586

Mitsuyoshi KATO, Yukio MATSUMOTO

著者情報

ジャーナルフリー

1972 年 24 巻 4 号 p. 586-608

DOI https://doi.org/10.2969/jmsj/02440586

詳細

Published: 1972 Received: 1971/12/14 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) W. Browder, Structures on M×R, Proc. Cambridge Philos. Soc., 67 (1965), 337-345.
2) W. Browder, Surgery on simply connected manifolds, Mimeographed, Princeton, 1969.
3) J. F. P. Hudson, Piecewise linear topology, Benjamin Inc., New York, 1969.
4) M. Kato, Embedding spheres and balls in codimension two, (to appear in Invent. Math.).
5) M. Kervaire, Les noeds de dimension superieures, Bull. Soc. Math. France, 93 (1965), 225-271.
6) R. Kirby, Lectures on triangulations of manifolds, (mimeographed), U. C. L. A., 1969.
7) R. Kirby, Codimension two locally flat imbeddings have normal bundles, (to appear).
8) J. Levine, Knot cobordism groups in codimension two, Comment. Math. Helv., 44 (1969), 229-244.
9) J. Milnor, Isolated singularities of a complex hypersurface, Ann. Math. Study, Princeton Univ. Press, 1969.
10) D. Montgomery and C. T. Yang, Free differentiable actions on homotopy spheres, Proc. of the Conference on transformation groups, New Orleans, 1967.
11) S. P. Novikov, Homotopically equivalent smooth manifolds, I, Izv. Akad. Nauk SSSR, 28 (1964), 365-479 (in Russian).
12) C. P. Rourke and B. J. Sanderson, Block bundles I, II and III, Ann. of Math., 97 (1968), 1-28, 256-279, 431-484.
13) L. C. Siebenmann (unpublished).
14) R. Thom, Quelques proprietes globales des varietes differentiables, Comment. Math. Helv., 28 (1954), 17-86.
15) C.T.C. Wall, Locally flat PL submanifolds with codimension two, Proc. Cambridge Philos. Soc., 63 (1967), 5-8.
16) C.T.C. Wall, An extension of results of Novikov and Browder, Amer. J. Math., 88 (1966), 20-32.
17) C. T. C. Wall, Surgery of non-simply connected manifolds, Ann. of Math., 84 (1966), 217-276.
18) C. T. C. Wall, Surgery on compact manifolds, (mimeographed).
19) R. Williamson, Cobordism of combinatorial manifolds, Ann. of Math., 83 (1966), 1-23.
20) E. C. Zeeman, Seminar on Combinatorial topology, I. H. E. S., 1963.
21) Y. Matsumoto, Surgery and singularities in codimension two, Proc. Japan Acad., 47 (1971), 153-156.
22) Y. Matsumoto, Knot cobordism groups and surgery in codimension two, (to appear).

Right : [1] W. Browder, Structures on M×R, Proc. Cambridge Philos. Soc., 67 (1965), 337-345.
[2] W. Browder, Surgery on simply connected manifolds, Mimeographed, Princeton, 1969.
[3] J. F. P. Hudson, Piecewise linear topology, Benjamin Inc., New York, 1969.
[4] M. Kato, Embedding spheres and balls in codimension two, (to appear in Invent. Math.).
[5] M. Kervaire, Les noeds de dimension superieures, Bull. Soc. Math. France, 93 (1965), 225-271.
[6] R. Kirby, Lectures on triangulations of manifolds, (mimeographed), U. C. L. A., 1969.
[7] R. Kirby, Codimension two locally flat imbeddings have normal bundles, (to appear).
[8] J. Levine, Knot cobordism groups in codimension two, Comment. Math. Helv., 44 (1969), 229-244.
[9] J. Milnor, Isolated singularities of a complex hypersurface, Ann. Math. Study, Princeton Univ. Press, 1969.
[10] D. Montgomery and C. T. Yang, Free differentiable actions on homotopy spheres, Proc. of the Conference on transformation groups, New Orleans, 1967.
[11] S. P. Novikov, Homotopically equivalent smooth manifolds, I, Izv. Akad. Nauk SSSR, 28 (1964), 365-479 (in Russian).
[12] C. P. Rourke and B. J. Sanderson, Block bundles I, II and III, Ann. of Math., 97 (1968), 1-28, 256-279, 431-484.
[13] L. C. Siebenmann (unpublished).
[14] R. Thom, Quelques proprietes globales des varietes differentiables, Comment. Math. Helv., 28 (1954), 17-86.
[15] C. T. C. Wall, Locally flat PL submanifolds with codimension two, Proc. Cambridge Philos. Soc., 63 (1967), 5-8.
[16] C. T. C. Wall, An extension of results of Novikov and Browder, Amer. J. Math., 88 (1966), 20-32.
[17] C. T. C. Wall, Surgery of non-simply connected manifolds, Ann. of Math., 84 (1966), 217-276.
[18] C. T. C. Wall, Surgery on compact manifolds, (mimeographed).
[19] R. Williamson, Cobordism of combinatorial manifolds, Ann. of Math., 83 (1966), 1-23.
[20] E. C. Zeeman, Seminar on Combinatorial topology, I. H. E. S., 1963.
[21] Y. Matsumoto, Surgery and singularities in codimension two, Proc. Japan Acad., 47 (1971), 153-156.
[22] Y. Matsumoto, Knot cobordism groups and surgery in codimension two, (to appear).

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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