On the Betti number of the image of a codimension-$k$ immersion with normal crossings
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- by Carlos Biasi and Osamu Saeki PDF
- Proc. Amer. Math. Soc. 123 (1995), 3549-3554 Request permission
Abstract:
Let $f:M \to N$ be a codimension-k immersion with normal crossings of a closed m-dimensional manifold. We show that f is an embedding if and only if the $(m - k + 1)$-th Betti numbers of M and $f(M)$ coincide, under a certain condition on the normal bundle of f.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3549-3554
- MSC: Primary 57R42; Secondary 57R40
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273476-6
- MathSciNet review: 1273476