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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On bordism groups of immersions
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by Guillermo Pastor PDF
Trans. Amer. Math. Soc. 283 (1984), 295-301 Request permission

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
  • © 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