On immersions of $k$-manifolds in $(2k-1)$-manifolds
HTML articles powered by AMS MathViewer
- by B. H. Li and F. P. Peterson PDF
- Proc. Amer. Math. Soc. 83 (1981), 159-162 Request permission
Abstract:
Let $f:{M^k} \to {N^{2k - 1}}$. We prove that $f$ is homotopic to an immersion.References
- Morris W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959), 242–276. MR 119214, DOI 10.1090/S0002-9947-1959-0119214-4
- Bang He Li, On immersions of manifolds in manifolds, Sci. Sinica Ser. A 25 (1982), no. 3, 255–263. MR 669681
- John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554, DOI 10.1515/9781400881826
- Franklin P. Peterson, Twisted cohomology operations and exotic characteristic classes, Advances in Math. 4 (1970), 81–90. MR 266204, DOI 10.1016/0001-8708(70)90016-2
- Ioan James and Emery Thomas, Note on the classification of cross-sections, Topology 4 (1966), 351–359. MR 212820, DOI 10.1016/0040-9383(66)90033-4
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 159-162
- MSC: Primary 57R40; Secondary 57R20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0620004-1
- MathSciNet review: 620004