Geodesic
Embedding of compacta, stable homotopy groups of spheres, and singularity theory
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 55 (2000) no. 3, pp. 405-462

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In this survey new applications of homotopy theory and singularity theory to geometric and differential topology are considered. The solution of R. Daverman's problem on the embedding of a sphere-like compactum in Euclidean space is obtained. Applications to the theory of pseudo-isotopies and to the topology of low-dimensional manifolds are found. 
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     author = {P. M. Akhmet'ev},
     title = {Embedding of compacta, stable homotopy groups of spheres, and singularity theory},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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P. M. Akhmet'ev. Embedding of compacta, stable homotopy groups of spheres, and singularity theory. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 55 (2000) no. 3, pp. 405-462. http://geodesic.mathdoc.fr/item/RM_2000_55_3_a0/