Abstract
This paper is devoted to extend some well-known facts on the genus of a surface and on the Heegaard genus of a 3-manifold to manifolds of arbitrary dimension. More precisely, we prove that the genus of non-orientable manifolds is always even and we compare the genus of a manifold with the rank of its fundamental group and with the genus of its boundary.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have