Volume 9, issue 3 (2009)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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 Σ1r1–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
References
Publication
Received: 21 May 2008
Revised: 19 February 2009
Accepted: 17 June 2009
Published: 16 August 2009
Authors
Gábor Lippner
Rényi Alfréd Institute of Mathematics
Budapest, Hungary