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2008 Essential curves in handlebodies and topological contractions
Viatcheslav Grines, François Laudenbach
Geom. Topol. 12(2): 981-985 (2008). DOI: 10.2140/gt.2008.12.981

Abstract

If X is a compact set, a topological contraction is a self-embedding f such that the intersection of the successive images fk(X), k>0, consists of one point. In dimension 3, we prove that there are smooth topological contractions of the handlebodies of genus 2 whose image is essential.

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Viatcheslav Grines. François Laudenbach. "Essential curves in handlebodies and topological contractions." Geom. Topol. 12 (2) 981 - 985, 2008. https://doi.org/10.2140/gt.2008.12.981

Information

Received: 13 November 2007; Accepted: 8 February 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1147.57005
MathSciNet: MR2403803
Digital Object Identifier: 10.2140/gt.2008.12.981

Subjects:
Primary: 57M25
Secondary: 37D15

Rights: Copyright © 2008 Mathematical Sciences Publishers

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