Immersions of highly connected manifolds
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- by Reinhard Wiegmann PDF
- Proc. Amer. Math. Soc. 90 (1984), 483-484 Request permission
Abstract:
If $[{M^n}\looparrowright {{\mathbf {R}}^{2n - k}}]$ denotes the set of regular homotopy classes of immersions, ${M^n}$ a $k$-connected compact manifold, we show by a direct geometric construction the correspondence $[{M^n}\looparrowright {{\bf {R}}^{2n - k}}] \to [{S^n}\looparrowright {{\bf {R}}^{2n - k}}]$ for $0 \le 2k \le n - 2$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 483-484
- MSC: Primary 57R42; Secondary 55Q52
- DOI: https://doi.org/10.1090/S0002-9939-1984-0728373-1
- MathSciNet review: 728373