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Smoothing 4-manifolds. (English) Zbl 0241.57008


MSC:

57R10 Smoothing in differential topology
57N15 Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)
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References:

[1] Bing, R.H.: An alternative proof that 3-manifolds can be triangulated. Ann. of Math.69, 37-65 (1959). · Zbl 0106.16604 · doi:10.2307/1970092
[2] Milnor, J.: Differentiable structures. Mimeo. Princeton 1961.
[3] Kirby, R.C., Siebenmann, L.C.: On the triangulation of manifolds and the Hauptvermutung. Bull. AMS,75, 742-749 (1969). · Zbl 0189.54701 · doi:10.1090/S0002-9904-1969-12271-8
[4] Lashof, R., Rothenberg, M.: Triangulation of manifolds I & II. Bull. AMS,75, 750-759 (1969). Also, Lashof, R., The immersion approach to triangulation and smoothing. To appear, Proc. Madison Conference on Algebraic Topology (AMS), 1970. · Zbl 0189.54703 · doi:10.1090/S0002-9904-1969-12272-X
[5] Shaneson, J.: Embeddings of spheres in spheres of codimension two andh-cobordisms ofS 1{\(\times\)}S 3. Bull. AMS,75, 972-973 (1968). · Zbl 0167.21602 · doi:10.1090/S0002-9904-1968-12107-X
[6] Milnor, J.: Lectures on theh-cobordism theorem. Princeton Math. Notes, Princeton Univ. Press, Princeton, N.J. 1965. · Zbl 0161.20302
[7] Shaneson, J.: Non-simply connected surgery and some results in low dimensional topology. Comm. Math. Helv.45, 333-352 (1970). · Zbl 0207.53803 · doi:10.1007/BF02567336
[8] Siebenmann, L.C.: The obstruction to finding a boundary for an open manifold. Ph. D. Thesis, Princeton Univ., Princeton, N.J. 1965. · Zbl 0127.11305
[9] Wall, C.T.C.: On simply connected 4-manifolds. J. London Math. Soc.39, 141-149 (1964). · Zbl 0131.20701 · doi:10.1112/jlms/s1-39.1.141
[10] ? Diffeomorphisms of 4-manifolds. J. London Math. Soc.29, 131-140 (1964). · Zbl 0121.18101 · doi:10.1112/jlms/s1-39.1.131
[11] ? On bundles over a sphere with a fibre euclidean space. Fund Math.LXI, 57-72 (1967). · Zbl 0312.57009
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