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Singularities of projected immersions revisited
Gábor Lippner
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Algebraic & Geometric Topology 9
(2009) 1623–1635
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Abstract
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Szűcs proved [Bull. London Math. Soc. 32 (2000) 364-374] that the r–tuple-point
manifold of a generic immersion is cobordant to the Σ1r−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.
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Keywords
immersion, prim map, multiple point
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Mathematical Subject Classification
Primary: 57R42, 57R45
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Publication
Received: 21 May 2008
Revised: 19 February 2009
Accepted: 17 June 2009
Published: 16 August 2009
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