Embedding spheres and balls in codimension $\leqq 2$
HTML articles powered by AMS MathViewer
- by Mitsuyoshi Kato PDF
- Bull. Amer. Math. Soc. 75 (1969), 1260-1265
References
- Ralph H. Fox and John W. Milnor, Singularities of $2$-spheres in $4$-space and cobordism of knots, Osaka Math. J. 3 (1966), 257–267. MR 211392
- M. C. Irwin, Embeddings of polyhedral manifolds, Ann. of Math. (2) 82 (1965), 1–14. MR 182978, DOI 10.2307/1970560
- Mitsuyoshi Kato, Combinatorial prebundles. I, II, Osaka J. Math. 4 (1967), 289–303; ibid. 4 (1967), 305–311. MR 234471
- Mitsuyoshi Kato, Higher dimensional $\textrm {PL}$ knots and knot manifolds, J. Math. Soc. Japan 21 (1969), 458–480. MR 248847, DOI 10.2969/jmsj/02130458
- Masahide Kato, Examples of simply connected compact complex $3$-folds, Tokyo J. Math. 5 (1982), no. 2, 341–364. MR 688130, DOI 10.3836/tjm/1270214898
- Michel A. Kervaire, Les nœuds de dimensions supérieures, Bull. Soc. Math. France 93 (1965), 225–271 (French). MR 189052
- Michel A. Kervaire and John W. Milnor, On $2$-spheres in $4$-manifolds, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1651–1657. MR 133134, DOI 10.1073/pnas.47.10.1651
- R. Lashof and M. Rothenberg, Microbundles and smoothing, Topology 3 (1965), 357–388. MR 176480, DOI 10.1016/0040-9383(65)90003-0
- J. Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969), 229–244. MR 246314, DOI 10.1007/BF02564525
- Hiroshi Noguchi, Obstructions to locally flat embeddings of combinatorial manifolds, Topology 5 (1966), 203–213. MR 192499, DOI 10.1016/0040-9383(66)90020-6
- C. P. Rourke and B. J. Sanderson, Block bundles. I, Ann. of Math. (2) 87 (1968), 1–28. MR 226645, DOI 10.2307/1970591
- C. T. C. Wall, Locally flat $\textrm {PL}$ submanifolds with codimension two, Proc. Cambridge Philos. Soc. 63 (1967), 5–8. MR 227993, DOI 10.1017/s0305004100040834 13. E. C. Zeeman, Seminars on combinatorial topology (mimeographed notes) Inst. Hautes Études Sci., Paris, 1963-1966.
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 1260-1265
- DOI: https://doi.org/10.1090/S0002-9904-1969-12385-2
- MathSciNet review: 0254853