Published in Journal of Gökova Geometry Topology, Volume 7 (2013)
Title Desingularizing special generic maps
Authors Osamu Saeki and Masamichi Takase
Let f : MRp be a special generic map of a closed n-dimensional manifold M with np ≥ 1. We study the condition for f to be factorized as f = π ο η for an immersion (or an embedding) η : MRn+1 and an orthogonal projection π : Rn+1Rp. For various dimension pairs (n,p) we give answers to such a lifting problem. In particular, for the cases where p is equal to 1 and 2 we obtain complete results.
Keywords Special generic map, immersion, lift, singularity, embedding, long knot, homotopy sphere, exotic sphere
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Submitted: Apr 15, 2013
Accepted: Aug 22, 2013
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