Hiroshima Mathematical Journal

On punctured 3-manifolds in 5-sphere

Osamu Saeki
Source: Hiroshima Math. J. Volume 29, Number 2 (1999), 255-272.
First Page: Show Hide
Primary Subjects: 57Q45
Secondary Subjects: 57N10, 57R40
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206125007
Mathematical Reviews number (MathSciNet): MR1704247
Zentralblatt MATH identifier: 0931.57023

References

[D] R. De Sapio, On (k - l)-connected (2k + 1)-manifolds, Math. Scand. 25 (1969), 181-189.
Zentralblatt MATH: 0197.20601
[H] M. W. Hirsch, "Differential topology," Graduate Texts in Math., vol. 33, Springer, New York, Heidelberg, Berlin, 1976.
Zentralblatt MATH: 0356.57001
Mathematical Reviews (MathSciNet): MR448362
[Ka] S. Kaplan, Constructing framed 4-manifolds with given almost framed boundaries, Trans. Amer. Math. Soc. 254 (1979), 237-263.
Zentralblatt MATH: 0426.57009
Mathematical Reviews (MathSciNet): MR539917
[Ke] M. Kervaire, Les noeuds de dimensions superieures, Bull. Soc. Math. France 93 (1965), 225-271.
Zentralblatt MATH: 0141.21201
Mathematical Reviews (MathSciNet): MR189052
[KM] M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres: I, Ann. of Math. 77 (1963), 504-537.
Zentralblatt MATH: 0115.40505
Mathematical Reviews (MathSciNet): MR148075
[Le] J. Levine, An algebraic classification of some knots of codimension two, Comment. Math. Helv. 45 (1970), 185-198.
Zentralblatt MATH: 0211.55902
Mathematical Reviews (MathSciNet): MR266226
[Li] W. B. R. Lickerish, A representation of orientable combinatorial 3-manifolds, Ann. of Math. 76 (1962), 531-540.
Zentralblatt MATH: 0106.37102
Mathematical Reviews (MathSciNet): MR151948
[M] J. Milnor, "Singular points of complex hypersurfaces," Ann. of Math. Stud., vol. 61, Princeton Univ. Press, Princeton, N. J., 1968.
Zentralblatt MATH: 0184.48405
Mathematical Reviews (MathSciNet): MR239612
[Sa1] O. Saeki, On simple fibered knots in S5 and the existence of decomposable algebraic 3- knots, Comment. Math. Helv. 62 (1987), 587-601.
Zentralblatt MATH: 0638.57010
Mathematical Reviews (MathSciNet): MR920059
[Sa2] O. Saeki, Knotted homology 3-spheres in S5 , J. Math. Soc. Japan 40 (1988), 65-75.
Zentralblatt MATH: 0618.57008
Mathematical Reviews (MathSciNet): MR917395
[Sa] O. Saeki, Theory of fibered 3-knots in S5 and its applications, preprint, Hiroshima University, 1996.
Zentralblatt MATH: 0953.57015
Mathematical Reviews (MathSciNet): MR1742599
[Sm] S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387-399.
Zentralblatt MATH: 0109.41103
Mathematical Reviews (MathSciNet): MR153022
[Sm2] S. Smale, On the structure of 5-manifolds, Ann. of Math. 75 (1962), 38-46.
Zentralblatt MATH: 0101.16103
Mathematical Reviews (MathSciNet): MR141133
[Su] D. Sullivan, On the intersection ring of compact three manifolds, Topology 14 (1975), 275-277.
Zentralblatt MATH: 0312.57003
Mathematical Reviews (MathSciNet): MR383415
[Ta] I. Tamura, Classifications des varietes differentiables, (n-- l)-connexes, sans torsion, de dimension 2^+1, Seminaire Henri Cartan 15 (1962/63), Exp. 16 to 19.
Zentralblatt MATH: 0132.19805
[Ti] R. Tindell, Classifying bounded 2-manifolds in S4 , Osaka J. Math. 7 (1970), 173-177.
Zentralblatt MATH: 0196.27005
Mathematical Reviews (MathSciNet): MR263088
[W1] C. T. C. Wall, All 3-manifolds imbed in 5-space, Bull. Amer. Math. Soc. 71 (1965), 564- 567.
Zentralblatt MATH: 0135.41603
Mathematical Reviews (MathSciNet): MR175139
[W2] C. T. C. Wall, Classification problems in differential topology--VI, classification of (sl)-connected (25+l)-manifolds, Topology 6 (1967), 273-296.
Zentralblatt MATH: 0173.26102
Mathematical Reviews (MathSciNet): MR216510

2013 © Hiroshima University, Department of Mathematics

Hiroshima Mathematical Journal

Hiroshima Mathematical Journal