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Ends of maps and applications. (English) Zbl 0424.57008


MSC:

57N15 Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)
57N55 Microbundles and block bundles
57N25 Shapes (aspects of topological manifolds)
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[1] W. Browder, J. Levine, and G. R. Livesay, Finding a boundary for an open manifold, Amer. J. Math. 87 (1965), 1017 – 1028. · Zbl 0134.42801 · doi:10.2307/2373259
[2] J. L. Bryant and C. L. Seebeck III, Locally nice embeddings in codimension three, Quart. J. Math. Oxford Ser. (2) 21 (1970), 265 – 272. · Zbl 0199.26703 · doi:10.1093/qmath/21.3.265
[3] J. W. Cannon, Taming codimension-one generalized submanifolds of \?\(^{n}\), Topology 16 (1977), no. 4, 323 – 334. · Zbl 0386.57004 · doi:10.1016/0040-9383(77)90039-8
[4] J. W. Cannon, J. L. Bryant, and R. C. Lacher, The structure of generalized manifolds having nonmanifold set of trivial dimension, Geometric topology (Proc. Georgia Topology Conf., Athens, Ga., 1977), Academic Press, New York-London, 1979, pp. 261 – 300. · Zbl 0476.57006
[5] E. H. Connell and John Hollingsworth, Geometric groups and Whitehead torsion, Trans. Amer. Math. Soc. 140 (1969), 161 – 181. · Zbl 0191.53904
[6] D. S. Coram and P. F. Duvall Jr., Approximate fibrations, Rocky Mountain J. Math. 7 (1977), no. 2, 275 – 288. · Zbl 0367.55019 · doi:10.1216/RMJ-1977-7-2-275
[7] R. D. Edwards, Stebenmann’s variation of West’s proof of the ANR theorem (to appear).
[8] R. D. Edwards, Approximating certain cell-like maps by homeomorphisms, 1977. (preprint) · Zbl 0479.57008
[9] Steve Ferry, Homotoping \?-maps to homeomorphisms, Institute for Advanced Study, 1977 (preprint). · Zbl 0426.57005
[10] R. E. Goad, Local homotopy properties of maps, and approximation by fiber bundle projections, Thesis, Univ. of Georgia, 1976.
[11] Frank Quinn, Ends of maps and applications, Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 1, 270 – 272. · Zbl 0424.57008
[12] L. C. Siebenmann, Obstructions to finding a boundary for an open manifold, Thesis, Princeton Univ., 1965.
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