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What (who) is tameness$81589$ - definition
Tame ends conjecture; Marden conjecture; Marden tameness conjecture; Marden's tameness conjecture; Marden's conjecture; Tameness conjecture; Marden Tameness Conjecture
Tameness theorem
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.
Island tameness
![Nene]] crossing, Hawaii](https://commons.wikimedia.org/wiki/Special:FilePath/Nene sign.jpg?width=200 "Nene]] crossing, Hawaii")
TENDENCY OF MANY POPULATIONS AND SPECIES OF ANIMALS LIVING ON ISOLATED ISLANDS TO LOSE THEIR WARINESS OF POTENTIAL PREDATORS, PARTICULARLY OF LARGE ANIMALS
Ecological naïvete; Ecological naivete; Insular tameness; Ecologically naïve
Island tameness is the tendency of many populations and species of animals living on isolated islands to lose their wariness of potential predators, particularly of large animals. The term is partly synonymous with ecological naïveté, which also has a wider meaning referring to the loss of defensive behaviors and adaptations needed to deal with these "new" predators.
![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.")
Wikipedia
Tameness theorem
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.
