References
T. Banchoff, Triple points and singularities of projections of smoothly immersed surfaces,Proc. Amm. Math. Soc.,46 (1974), 402–406.
M. G. Barratt and P. Eccles, Γ+ -structures III,Topology,13 (1974), 199–207.
O. Burlet, Cobordismes de plongements et produits homotopiques,Comment. Math. Helvetici,46 (1971), 277–288.
A. T. Fomenko, D. B. Fuchs and V. L. Gutenmacher,Homotopic Topology, Akadémiai Kiadó (Budapest, 1986). (Translated from Russian.)
U. Koschorke,Vector Fields and Another Vector Bundle Morphisms, Lecture Notes in Math. vol. 847, Springer Verlag (Berlin and New York, 1981).
B. Morin, Formes canoniques des singularites d'une application differentiable,Comptes Rendus Acad. Sci., Paris,260 (1965), 5662–5665, 6503–6506.
G. Pastor, On bordism group of immersions,Proc. AMS,283 (1984).
H. A. Salomonsen, On the homotopy groups of Thom complexes and unstable bordism,Proc. Adv. Study Inst. Alg. Top., August 10–23, 1970 (Aarhus, Denmark).
R. E. Stong,Notes on the Theory of Cobordisms, Princeton University Press and the University of Tokyo Press (Princeton, New Jersey, 1968).
R. M. Switzer,Algebraic Topology — Homotopy and Homology, Springer Verlag (1975), Chapter 15.
A. Szűcs, Analogue of the Thom space for mappings with singularity of type Σ1,Math. Sb. (N.S.),108 (150) (1979), 433–456 (in Russian).
A. Szűcs, Cobordism of immersions with restricted selfintersections,Osaka J. Math.,21 (1984), 71–80.
A. Szűcs, Cobordism of maps with simplest singularities, in:Topology Symposium, (Siegen, 1979), pp. 223–244, Lecture Notes in Math., Springer (1980).
A. Szűcs, Multiple points of singular maps,Math. Proceedings of Cambridge Philos. Soc.,100 (1986), 331–346.
A. Szűcs, Immersions in bordism classes,Math. Proceedings of Cambridge Philos. Soc.,103 (1988), 89–95.
A. Szűcs, On the cobordism groups of immersions and embeddings,Math. Proceedings of Cambridge Philos. Soc.,109 (1991), 343–349.
A. Szűcs, Universal singular maps,Proceedings of Conference on Topology (Pécs, 1989), North-Holland (1993), pp. 491–500.
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Supported by the A. v. Humboldt Foundation and the Hungarian National Science Foundation, Grant No. T4232.
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Szűcs, A. Cobordism groups of immersions of oriented manifolds. Acta Math Hung 64, 191–230 (1994). https://doi.org/10.1007/BF01874122
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DOI: https://doi.org/10.1007/BF01874122