A note on Kneser-Haken finiteness

Details A note on Kneser-Haken finiteness A note on Kneser-Haken finiteness

2002-10-15

arxiv.org/abs/math/0210215v1

Mathematics

Geometric Topology

4 pages, 1 figure; to appear in Proceedings of the AMS

Scientific paper

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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