Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds
arXiv:math/0111181
Abstract
In this paper, we give a new simplified calculation of the Lusternik-Schnirelmann category of closed 3-manifolds. We also describe when 3-manifolds have detecting elements and prove that 3-manifolds satisfy the equality of the Ganea conjecture.
Latex, 10 pages