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Что (кто) такое tameness$81589$ - определение
![Nene]] crossing, Hawaii](https://commons.wikimedia.org/wiki/Special:FilePath/Nene sign.jpg?width=200 "Nene]] crossing, Hawaii")
![In public parks, some wild animals, such as this [[eastern grey squirrel]], have been sufficiently tamed so as to lose their natural fear of humans.](https://commons.wikimedia.org/wiki/Special:FilePath/20120623 Sqwiki the Squirrel at Wiknic.JPG?width=200 "In public parks, some wild animals, such as this [[eastern grey squirrel]], have been sufficiently tamed so as to lose their natural fear of humans.")
![A tame [[mouse]] runs across a woman's hand.](https://commons.wikimedia.org/wiki/Special:FilePath/Mouse on hand Shimer College Recondite 1967.jpg?width=200 "A tame [[mouse]] runs across a woman's hand.")
Википедия
In mathematics, the tameness theorem states that every complete hyperbolic 3-manifold with finitely generated fundamental group is topologically tame, in other words homeomorphic to the interior of a compact 3-manifold.
The tameness theorem was conjectured by Marden (1974). It was proved by Agol (2004) and, independently, by Danny Calegari and David Gabai. It is one of the fundamental properties of geometrically infinite hyperbolic 3-manifolds, together with the density theorem for Kleinian groups and the ending lamination theorem. It also implies the Ahlfors measure conjecture.
