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Classifications of simplicial triangulations of topological manifolds. (English) Zbl 0358.57007


MSC:

57Q15 Triangulating manifolds
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[1] F. Ancel and J. W. Cannon, Any embedding of S in S (n \geq 5) can be approximated by locally flat embeddings, Notices Amer. Math. Soc. 23 (1976), p. A-308. Abstract #732-G2.
[2] J. Cannon, Taming codimension one generalized manifolds (preprint). · Zbl 0386.57004
[3] R. D. Edwards, The double suspension of a certain homology 3-sphere is S5, Notices Amer. Math. Soc. 22 (1975), p. A-334. Abstract #75T-G33.
[4] R. D. Edwards, The double suspension of PL homology n-spheres, Proc. Topology Conf. (Georgia, 1975).
[5] David E. Galewski and Ronald J. Stern, The relationship between homology and topological manifolds via homology transversality, Invent. Math. 39 (1977), no. 3, 277 – 292. · Zbl 0368.57003 · doi:10.1007/BF01402977
[6] David E. Galewski and Ronald J. Stern, Classification of simplicial triangulations of topological manifolds, Ann. of Math. (2) 111 (1980), no. 1, 1 – 34. · Zbl 0441.57017 · doi:10.2307/1971215
[7] David E. Galewski and Ronald J. Stern, Simplicial triangulations of topological manifolds, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 7 – 12. · Zbl 0511.57015
[8] R. C. Kirby and L. C. Siebenmann, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc. 75 (1969), 742 – 749. · Zbl 0189.54701
[9] M. Scharlemann, Simplicial triangulations of non-combinatorial manifolds of dimension less than nine, Inst, for Advanced Study, Princeton, N. J. (preprint).
[10] L. C. Siebenmann, Are nontriangulable manifolds triangulable?, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969), Markham, Chicago, Ill., 1970, pp. 77 – 84. · Zbl 0297.57012
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