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

Published 17 Jan 2020 in math.GT | (2001.06368v1)

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 $(M,{\tau})$.

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