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A splitting theorem for manifolds and surgery groups. (English) Zbl 0215.52601

MSC:
57R67 Surgery obstructions, Wall groups
57R65 Surgery and handlebodies
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[1] Friedhelm Waldhausen, Whitehead groups of generalized free products, Algebraic K-theory, II: ”Classical” algebraic K-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Springer, Berlin, 1973, pp. 155 – 179. Lecture Notes in Math., Vol. 342. · Zbl 0326.18010
[2] F. Farrell and W. Hsiang, On manifolds with \pi = GXaT, Yale University, Notes, New Haven, Conn.
[3] William Browder, Embedding 1-connected manifolds, Bull. Amer. Math. Soc. 72 (1966), 225 – 231; Erratum: ibid. 72 (1966), 736. · Zbl 0141.40602
[4] C. T. C. Wall, Surgery on compact manifolds, Academic Press, London-New York, 1970. London Mathematical Society Monographs, No. 1. · Zbl 0219.57024
[5] R. Lee, Splitting a manifold into two parts. Lecture notes, Institute for Advanced Study, Princeton, N. J., 1968.
[6] Julius L. Shaneson, Wall’s surgery obstruction groups for \?\times \?, Ann. of Math. (2) 90 (1969), 296 – 334. · Zbl 0182.57303 · doi:10.2307/1970726 · doi.org
[7] F. T. Farrell, The obstruction to fibering a manifold over a circle, Bull. Amer. Math. Soc. 73 (1967), 737 – 740. · Zbl 0161.20401
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