Geodesic
An analogue of the Thom space for maps with a singularity of type $\Sigma^1$
Sbornik. Mathematics, Tome 36 (1980) no. 3, pp. 405-426 
A. Szűcs. An analogue of the Thom space for maps with a singularity of type $\Sigma^1$. Sbornik. Mathematics, Tome 36 (1980) no. 3, pp. 405-426. http://geodesic.mathdoc.fr/item/SM_1980_36_3_a7/
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     title = {An analogue of the {Thom} space for maps with a~singularity of type~$\Sigma^1$},
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     volume = {36},
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     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper there is constructed a space $X(k)$, the $(n+k)$th homotopy group of which is interpreted as the cobordism group of $S$-maps of $n$-dimensional manifolds into $\mathbf R^{n+k}$. From the construction of $X(k)$ and its analogues we derive corollaries concerning the cobordism group of immersions in the metastable range of dimensions. Figures: 2. Bibliography: 8 titles.

[1] A. Haefliger, “Plongements differentiables de variétés dans variétés”, Comm. Math. Helv., 37 (1962/63), 155–170 | DOI | MR

[2] R. Wells, “Cobordism of immersions”, Topology, 5:3 (1966), 281–294 | DOI | MR | Zbl

[3] R. Wells, “Double covers and metastable immersions of spheres”, Canad. J. Math., 26:1 (1974), 145–177 | MR

[4] M. G. Barratt, P. Eccles,, “$\Gamma^+$-structures. I”, Topology, 13:1 (1974), 24–25 | DOI | MR

[5] R. E. Stong, “On cobordisms of pairs”, Pacific J. Math., 38:3 (1971), 803–816 | MR | Zbl

[6] A. Syuch, Gruppy kobordizmov $l$-pogruzhenii. I, Acta Math. Acad. scient. Hung., 27, no. 3–4, 1976 | DOI | MR | Zbl

[7] A. Syuch, “Gruppy kobordizmov $l$-pogruzhenii. II”, Acta Math. Acad. scient. Hung., 28:1–2 (1976), 93–102 | DOI | Zbl

[8] F. Uchida, “Cobordism groups of immersions”, Osaka J. Math., 8:1 (1971), 207–218 | MR | Zbl