#### Volume 9, issue 3 (2009)

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Singularities of projected immersions revisited

### Gábor Lippner

Algebraic & Geometric Topology 9 (2009) 1623–1635
##### Abstract

Szűcs proved [Bull. London Math. Soc. 32 (2000) 364-374] that the $r$–tuple-point manifold of a generic immersion is cobordant to the ${\Sigma }^{{1}_{r-1}}$–point manifold of its generic projection. Here we extend this by showing that the natural mappings of these manifolds are bordant to each other. The main novelty of our approach is that we construct an explicit geometric realization of the bordism.

##### Keywords
immersion, prim map, multiple point
##### Mathematical Subject Classification 2000
Primary: 57R42, 57R45