Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 9, Number 3 (2009), 1623-1635.
Singularities of projected immersions revisited
Szűcs proved [Bull. London Math. Soc. 32 (2000) 364-374] that the –tuple-point manifold of a generic immersion is cobordant to the –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.
Algebr. Geom. Topol., Volume 9, Number 3 (2009), 1623-1635.
Received: 21 May 2008
Revised: 19 February 2009
Accepted: 17 June 2009
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Lippner, Gábor. Singularities of projected immersions revisited. Algebr. Geom. Topol. 9 (2009), no. 3, 1623--1635. doi:10.2140/agt.2009.9.1623. https://projecteuclid.org/euclid.agt/1513797039