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On stability of Heegaard splittings

Published online by Cambridge University Press:  01 July 2000

FENGCHUN LEI
FENGCHUN LEI
Affiliation:
Department of Mathematics, Jilin University, Changchun 130023, P.R. China; e-mail: fclei@public.cc.jl.cn
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Abstract

It is a theorem of Reidemeister [4] and Singer [6] that any two Heegaard splittings of a closed 3-manifold are stably equivalent. In this short note, we give this theorem a simple proof.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 1 , July 2000 , pp. 55 - 57
Copyright
2000 Cambridge Philosophical Society

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Footnotes

Work supported in part by NSF of China and Morningside Centre of Mathematics, Chinese Academy of Sciences.