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TRIVIALITY OF A SURFACE-LINK WITH MERIDIAN-BASED FREE FUNDAMENTAL GROUP
Author(s) : Akio Kawauchi
Pages : [19] - [27]
Received : April 16, 2023
Communicated by : Professor Francisco Bulnes
Pages : [19] - [27]
Received : April 16, 2023
Communicated by : Professor Francisco Bulnes
Abstract
It is proved that every disconnected surface-link with meridian-based free fundamental group is a trivial (i.e., an unknotted-unlinked) surface-link. This result is a surface-link version of the author’s recent result on smooth unknotting of a surface-knot.
Keywords
boundary surface-link, stably trivial surface-link, trivial surface-link, unknotted-unlinked surface-link.