Abstract
In this paper we give a characterization of the kernel of the bordism intersection map and we present some related results as the following. The set of bordism classes of $C^{\infty}$ maps $f : M \to N$ such that rank $df(x) \leq p$ for all $x$ is contained in $J_{p,m-p}(N)$, where $M$ is a smooth closed manifold of dimension $m$, $N$ is a smooth closed manifold, $df$ is the differential of $f$, $J_{p,m-p}(N)$ is the image of the homomorphism $\ell_{\ast}: \mathfrak{N}_{m}(N^{(p)}) \to \mathfrak{N}_{m}(N)$ induced by the inclusion, $0 \leq p \leq m$, and $N^{(p)}$ is the $p$-skeleton of $N$.
Citation
Carlos Biasi. Alice Kimie Miwa Libardi. "Remarks on the bordism intersection map." Tsukuba J. Math. 30 (1) 171 - 180, June 2006. https://doi.org/10.21099/tkbjm/1496165035
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