The Borsuk-Ulam Theorem for Double Coverings of Seifert Manifolds

• Date: 2013
• Main Authors: Bauval, A., Gonçalves, D. L., Hayat, C., Zvengrowski, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/299
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We study a Borsuk-Ulam type theorem for pairs $(M,\tau)$ with $\tau$ a fixed point free involution of $M$, and such that both $M$ and $N\colon = M/\tau$ are Seifert  manifolds. In this note our point of view will be to start with a Seifert manifold $N$. Any non-trivial element $\xi\in H...