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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

On bordism groups of immersions


Author: Guillermo Pastor
Journal: Trans. Amer. Math. Soc. 283 (1984), 295-301
MSC: Primary 57R75; Secondary 55Q52, 57R42, 57R90
MathSciNet review: 735423
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Abstract: The bordism group of immersions of oriented $ n$-manifolds into $ {{\mathbf{R}}^{n + k}}$ is identified with the stable homotopy group $ \Pi _{n + k}^s(\operatorname{MSO} (k))$. We study these groups for $ n - 2 \leqslant k \leqslant n$, and discuss the behaviour of double points and their relation with the corresponding bordism groups of embeddings.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0735423-X
PII: S 0002-9947(1984)0735423-X
Article copyright: © Copyright 1984 American Mathematical Society