Abstract
Kneser-Haken finiteness asserts that for each compact 3-manifold M M there is an integer c ( M ) c(M) such that any collection of k > c ( M ) k>c(M) closed, essential, 2-sided surfaces in M M must contain parallel elements. We show here that if M M is closed, then twice the number of tetrahedra in a (pseudo)-triangulation of M M suffices for c ( M ) c(M) .
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