In geometry, a tame manifold is a manifold with a well-behaved compactification. More precisely, a manifold is called tame if it is homeomorphic to a compact manifold with a closed subset of the boundary removed.
The Whitehead manifold is an example of a contractible manifold that is not tame.
geometry, a tamemanifold is a manifold with a well-behaved compactification. More precisely, a manifold M {\displaystyle M} is called tame if it is homeomorphic...
In mathematics, a closed manifold is a manifold without boundary that is compact. In comparison, an open manifold is a manifold without boundary that has...
mathematics, the tameness theorem states that every complete hyperbolic 3-manifold with finitely generated fundamental group is topologically tame, in other...
manifold but its product with R 1 {\displaystyle \mathbb {R} ^{1}} is homeomorphic to R 4 . {\displaystyle \mathbb {R} ^{4}.} List of topologies Tame...
Knots that are not tame are called wild and can have pathological behavior. In knot theory and 3-manifold theory, often the adjective "tame" is omitted. Smooth...
In mathematics, the knot complement of a tame knot K is the space where the knot is not. If a knot is embedded in the 3-sphere, then the complement is...
called topologically tame if it is finitely generated and its hyperbolic manifold is homeomorphic to the interior of a compact manifold with boundary. A Kleinian...
not a manifold, it is a generalized homological manifold and a homotopy manifold. List of topologies Whitehead manifold, a contractible 3-manifold not homeomorphic...
almost complex manifolds, by contrast to complex manifolds. The term "complex structure" often refers to this structure on manifolds; when it refers...
hyperbolic 3-manifolds with finitely generated fundamental groups are topologically tame (homeomorphic to the interior of compact 3-manifolds). This latter...
an algorithm that takes as input a triangulated 3-manifold and determines whether or not the manifold is homeomorphic to the 3-sphere. It has exponential...
curves with a fixed homology class in a symplectic manifold where J is ω {\displaystyle \omega } -tame or ω {\displaystyle \omega } -compatible). This Gromov...
introduced by Thurston (1980, 9.3.6). Suppose that a hyperbolic 3-manifold has a geometrically tame end of the form S×[0,1) for some compact surface S without...
hyperbolization for 3-manifolds with genuine lamination, Smale conjecture for hyperbolic 3-manifolds, Marden's Tameness Conjecture, Weeks manifold being the minimum...
2004, Agol proved the Marden tameness conjecture, a conjecture of Albert Marden. It states that a hyperbolic 3-manifold with finitely generated fundamental...
exhaust manifolds to the cylinder head, to allow slight movement while maintaining the seal of the gaskets in order to prevent cracking the manifolds as they...
sense (e.g., smooth or flat). A basic example is a subset of a smooth manifold that admits a Whitney stratification. But there is also an abstract stratified...
direction, meeting the Sow just east of Stafford; it then meets the River Tame and turns north-east, exiting into Derbyshire immediately downstream of Burton...
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