The Borsuk-Ulam theorem for closed 3-manifolds having geometry S²× \R

2020/11/02 by Anne Bauval, Daciberg Lima Gonçalves, Bauval, A. +5
Mathematics · Computer Science · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2011.00657

Abstract

Let M be a closed 3-manifold which admits the geometry S²× \R. In this work we determine all the free involutions τ on M, and the Borsuk-Ulam index of (M,τ).

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