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A sufficient condition for a self-amalgamation of a Heegaard splitting to be unstabilized

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First Author:
Liang, Liang
Correspondence Author:
Liang, L (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.
Co-author:
Lei, Fengchun,Li, Fengling
Date of Publication:
2014-12-01
Journal:
TOPOLOGY AND ITS APPLICATIONS
Included Journals:
SCIE、Scopus
Document Type:
J
Volume:
178
Page Number:
345-351
ISSN No.:
0166-8641
Key Words:
Heegaard splitting; Self-amalgamation; Unstabilized; Annulus-busting
Abstract:
In this paper, we will give a sufficient condition for self-amalgamation of a strongly irreducible Heegaard splitting along any essential subsurface to be unstabilized. (C) 2014 Elsevier B.V. All rights reserved.

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