Volume 8, issue 3 (2008)

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Some open $3$–manifolds and $3$–orbifolds without locally finite canonical decompositions

Sylvain Maillot

Algebraic & Geometric Topology 8 (2008) 1795–1810
Abstract

We give examples of open 3–manifolds and 3–orbifolds that exhibit pathological behavior with respect to splitting along surfaces (2–suborbifolds) with nonnegative Euler characteristic.

Keywords
3-manifold, open manifold, canonical decomposition, prime decomposition, JSJ decomposition
Mathematical Subject Classification 2000
Primary: 57M50, 57M99
Secondary: 57M10
References
Publication
Received: 15 February 2008
Revised: 21 July 2008
Accepted: 24 August 2008
Published: 9 October 2008
Authors
Sylvain Maillot
Institut de Recherche Mathématique Avancée
Université Louis Pasteur et CNRS
7 rue René Descartes
67084 Strasbourg Cedex
France