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

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-12-01

Journal: TOPOLOGY AND ITS APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 178

Page Number: 345-351

ISSN: 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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