Non-separating immersions of spheres and Bing houses

2019/11/20 by Freedman, Michael, Phan, T. Tam Nguyen
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1911.08858

Abstract

We construct Bing houses in all dimensions n ≥ 3, obtaining non-separating PL immersions of \mathbbSⁿ →ℝⁿ⁺¹.

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