On bordism groups of immersions
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- by Guillermo Pastor
- Trans. Amer. Math. Soc. 283 (1984), 295-301
- DOI: https://doi.org/10.1090/S0002-9947-1984-0735423-X
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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.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 283 (1984), 295-301
- MSC: Primary 57R75; Secondary 55Q52, 57R42, 57R90
- DOI: https://doi.org/10.1090/S0002-9947-1984-0735423-X
- MathSciNet review: 735423