The Borsuk-Ulam theorem for closed $3$-manifolds having geometry $S^2\times \R$
Algebraic Topology
2020-11-03 v1
Abstract
Let be a closed 3-manifold which admits the geometry . In this work we determine all the free involutions on , and the Borsuk-Ulam index of .
Cite
@article{arxiv.2011.00657,
title = {The Borsuk-Ulam theorem for closed $3$-manifolds having geometry $S^2\times \R$},
author = {A. Bauval and D. L. \ Gonçalves and C. Hayat and P. Zvengrowski},
journal= {arXiv preprint arXiv:2011.00657},
year = {2020}
}