A Note on Kneser-haken Finiteness

Abstract

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).

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Cite this paper

@inproceedings{Bachman2008ANO, title={A Note on Kneser-haken Finiteness}, author={David F Bachman}, year={2008} }