Algebraic & Geometric Topology 9 (2009) 1623–1635

DOI: 10.2140/agt.2009.9.1623

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 Σ^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

Primary: 57R42, 57R45

References

Publication

Received: 21 May 2008
Revised: 19 February 2009
Accepted: 17 June 2009
Published: 16 August 2009

Authors