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

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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. 
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     author = {A. Sz\'{u}cs},
     title = {An analogue of the {Thom} space for maps with a~singularity of type~$\Sigma^1$},
     journal = {Sbornik. Mathematics},
     pages = {405--426},
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     volume = {36},
     number = {3},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_3_a7/}
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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/