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

Maillot, Sylvain

doi:10.2140/agt.2008.8.1795

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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

DOI: 10.2140/agt.2008.8.1795

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

Volume 8, issue 3 (2008)