Translator Disclaimer
2003 A criterion for homeomorphism between closed Haken manifolds
Pierre Derbez
Algebr. Geom. Topol. 3(1): 335-398 (2003). DOI: 10.2140/agt.2003.3.335

Abstract

In this paper we consider two connected closed Haken manifolds denoted by M3 and N3, with the same Gromov simplicial volume. We give a simple homological criterion to decide when a given map f:M3N3 between M3 and N3 can be changed by a homotopy to a homeomorphism. We then give a convenient process for constructing maps between M3 and N3 satisfying the homological hypothesis of the map f.

Citation

Download Citation

Pierre Derbez. "A criterion for homeomorphism between closed Haken manifolds." Algebr. Geom. Topol. 3 (1) 335 - 398, 2003. https://doi.org/10.2140/agt.2003.3.335

Information

Received: 18 April 2002; Revised: 5 February 2003; Accepted: 12 March 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1020.57004
MathSciNet: MR1997323
Digital Object Identifier: 10.2140/agt.2003.3.335

Subjects:
Primary: 57M50
Secondary: 51H20

Rights: Copyright © 2003 Mathematical Sciences Publishers

JOURNAL ARTICLE
64 PAGES


SHARE
Vol.3 • No. 1 • 2003
MSP
Back to Top