3-Manifolds, volume 86 of Annals of Mathematics Studies
- J. Hempel
- PUP, Princeton,
Kneser-Haken Finiteness asserts that for each compact 3-manifold M there is an integer c(M) such that any collection of k > c(M) closed, essential, 2-sided surfaces in M must contain parallel elements. We show here that if M is closed then twice the number of tetrahedra in a (pseudo)triangulation of M suffices for c(M).