On special generic maps of rational homology spheres into Euclidean spaces

2020/09/13 by Wrazidlo, Dominik
#57R45 (Primary) 58K15 #58K30 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2009.05928

Abstract

Special generic maps are smooth maps between smooth manifolds with only definite fold points as their singularities. The problem of whether a closed n-manifold admits a special generic map into Euclidean p-space for 1 ≤ p ≤ n was studied by several authors including Burlet, de Rham, Porto, Furuya, Èliašberg, Saeki, and Sakuma. In this paper, we study rational homology n-spheres that admit special generic maps into ℝ^p for p

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