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.
Maillot, Sylvain  1
@article{10_2140_agt_2008_8_1795,
author = {Maillot, Sylvain},
title = {Some open 3{\textendash}manifolds and 3{\textendash}orbifolds without locally finite canonical decompositions},
journal = {Algebraic and Geometric Topology},
pages = {1795--1810},
year = {2008},
volume = {8},
number = {3},
doi = {10.2140/agt.2008.8.1795},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.1795/}
}
TY - JOUR AU - Maillot, Sylvain TI - Some open 3–manifolds and 3–orbifolds without locally finite canonical decompositions JO - Algebraic and Geometric Topology PY - 2008 SP - 1795 EP - 1810 VL - 8 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.1795/ DO - 10.2140/agt.2008.8.1795 ID - 10_2140_agt_2008_8_1795 ER -
%0 Journal Article %A Maillot, Sylvain %T Some open 3–manifolds and 3–orbifolds without locally finite canonical decompositions %J Algebraic and Geometric Topology %D 2008 %P 1795-1810 %V 8 %N 3 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.1795/ %R 10.2140/agt.2008.8.1795 %F 10_2140_agt_2008_8_1795
Maillot, Sylvain. Some open 3–manifolds and 3–orbifolds without locally finite canonical decompositions. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1795-1810. doi: 10.2140/agt.2008.8.1795
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