Geodesic
Could the Poincar\'e Conjecture Be False?
Informatics and Automation, Geometric topology and set theory, Tome 247 (2004), pp. 247-251

Voir la notice de l'article provenant de la source Math-Net.Ru

Two conjectures are stated which imply that the Poincaré hypothesis (asserting that any simply connected closed compact $3$-manifold is the $3$-sphere) is false. The first one claims that, for certain classes of finitely presented groups, the triviality problem is algorithmically undecidable, and the second one claims that certain embeddings of two-dimensional polyhedra in $3$-manifolds can effectively be constructed. 
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     author = {A. B. Sosinskii},
     title = {Could the {Poincar\'e} {Conjecture} {Be} {False?}},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_247_a17/}
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A. B. Sosinskii. Could the Poincar\'e Conjecture Be False?. Informatics and Automation, Geometric topology and set theory, Tome 247 (2004), pp. 247-251. http://geodesic.mathdoc.fr/item/TRSPY_2004_247_a17/