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

Details Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositions Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositions

2008-02-11

arxiv.org/abs/0802.1438v2

Mathematics

Geometric Topology

17 pages, 5 figures

Scientific paper

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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