A note on Kneser-Haken finiteness
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🧮 math.GT
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closedfinitenesskneser-hakenassertscollectioncompactcontainelements
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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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