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4-manifolds which embed in $${\mathbb{R}}^ 6$$ but not in $${\mathbb{R}}^ 5$$, and Seifert manifolds for fibered knots. (English) Zbl 0534.57020
See the preview in Zbl 0525.57027.

##### MSC:
 57R40 Embeddings in differential topology 57Q45 Knots and links in high dimensions (PL-topology) (MSC2010) 57N35 Embeddings and immersions in topological manifolds
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##### References:
 [1] Barden, D.: Simply-connected five manifolds. Annals of Math.82, 365-385 (1965) · Zbl 0136.20602 [2] Cappell, S.E., Shaneson, J.L.: Embedding and immersion of four-dimensional manifolds in ?6. Proceedings of the 1977 Georgia Topology Conference, pp. 301-305. New York: Academic Press 1979 [3] Cappell, S.E., Shaneson, J.L.: Link cobordism. Comment. Math. Helv. 55, 20-49 (1980) · Zbl 0444.57008 [4] Cochran, T.D.: Embedding four-manifolds inS 5 and applications. Ph.D. Dissertation, Univ. California, Berkeley, CA 1982 [5] Cochran, T.D.: Embedding 4-manifolds inS 5. Topology (in press) (1984) · Zbl 0582.57019 [6] Cochran, T.D.: Slice links inS 4. Transactions of the American Math. Society (in press) (1984) · Zbl 0519.57016 [7] Conner, P.E., Floyd, E.E.: Differentiable periodic maps. Bull. American Math. Soc.68, 76-86 (1962) · Zbl 0111.35601 [8] Demeo, R.: Link cobordism. Duke Math. Journal48, 23-33 (1981) · Zbl 0463.57005 [9] Epstein, D.B.A.: Embedding punctured manifolds. Proc. Am. Math. Soc.16, 175-176 (1965) · Zbl 0129.39502 [10] Hantzshe, W.: Einlagerung von Mannigfaltigkeiten in euklidische Räume. Math. Zeit43, 38-58 (1938) · Zbl 0017.13303 [11] Hausmann, J.C.: Knot theory. Lecture Notes in Mathematics, Vol. 685. Berlin-Heidelberg-New York: Springer 1978 · Zbl 0378.00013 [12] Kawauchi, A., Kojima, S.: Algebraic classification of linking pairings on 3-manifolds. Math. Ann.253, 29-42 (1980) · Zbl 0443.57009 [13] Milnor, J.W.: A survey of cobordism theory. L’Enseignement Math.8, 16-23 (1962) · Zbl 0121.39901 [14] Niven, I., Zuckerman, H.S.: An introduction to the theory of numbers. New York: John Wiley and Sons 1967 · Zbl 0723.11001 [15] Quinn, F.: Ends of maps. III. Dimensions 4 and 5. J. Differential Geometry17, 503-521 (1982) · Zbl 0533.57009 [16] Ruberman, D.: Imbedding four-manifolds and slicing links. Math. Proc. of Cambridge Phil. Soc.91, 107-110 (1982) · Zbl 0528.57017 [17] Spanier, E.H.: Algebraic Topology. New York: McGraw-Hill 1966 · Zbl 0145.43303
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