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.
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Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositions
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Sylvain Maillot - Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France