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1. The Borsuk-Ulam theorem for closed 3-dimensional manifolds having Nil Geometry

Author

Bauval, A., Gonçalves, D. L., and Hayat, C.

Subjects
Mathematics - Geometric Topology, Mathematics::K-Theory and Homology, Mathematics::Rings and Algebras, FOS: Mathematics, Mathematics::General Topology, Mathematics::Metric Geometry, Geometric Topology (math.GT), 57N10 55M20, Mathematics::Algebraic Topology
Abstract

Let M be a closed, connected 3-manifold which admits Nil geometry, we determine all free involutions ${\tau}$ on M and the Borsuk-Ulam index of $(M,{\tau})$.

Published
2020
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