A note on Kneser-Haken finiteness

David Bachman

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A note on Kneser-Haken finiteness

David Bachman

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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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David Bachman. 2002-10-15. A note on Kneser-Haken finiteness. https://arxiv.org/abs/math/0210215

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