In mathematics, the Thurston boundary of Teichmüller space of a surface is obtained as the boundary of its closure in the projective space of functionals...

genus at least two, as this is the case Thurston considered. (Note, however, that the cases where S has boundary or is not orientable are definitely still...

Cannon–Thurston map Circle packing theorem Hyperbolic volume Hyperbolic Dehn surgery Thurston boundary Milnor–Thurston kneading theory Misiurewicz–Thurston points...

satisfy the Thurston conjecture. One form of the hyperbolization theorem states: If M is a compact irreducible atoroidal Haken manifold whose boundary has zero...

The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose...

{\displaystyle 3g-3+k} . The action extends to the Thurston boundary of Teichmüller space, and the Nielsen-Thurston classification of mapping classes can be seen...

In mathematics, Thurston's geometrization conjecture (now a theorem) states that each of certain three-dimensional topological spaces has a unique geometric...

for US Senator John M. Thurston. Thurston County lies on the east side of Nebraska. Its east boundary line abuts the west boundary line of the state of...

pseudo-Anosov map: in this case, there are two fixed points on the Thurston boundary, one attracting and one repelling, and the homeomorphism behaves similarly...

suppose that the sequences gi, hi converge to points μ,μ′ in the Thurston boundary of Teichmüller space of projective measured laminations. If the points...

walks on Teichmüller space converge almost surely to a point on the Thurston boundary. Some of these features can be explained by the study of maps from...

examples, see for instance hyperbolic boundary, Gromov boundary, visual boundary, Tits boundary, Thurston boundary. See also projective space and compactification...

In mathematics, a Cannon–Thurston map is any of a number of continuous group-equivariant maps between the boundaries of two hyperbolic metric spaces extending...

geometric topology: for example as boundary points of the Teichmüller space (every point in the Thurston boundary of the Teichmüller space is represented...

Thurston County is a county located in the U.S. state of Washington. As of the 2020 census, its population was 294,793. The county seat is Olympia, the...

Poincaré conjecture (see the Solution of the Poincaré conjecture). William Thurston's geometrization program, formulated in the 1970s, provided a far-reaching...

Rosalie is a village in Thurston County, Nebraska, United States, within the boundaries of the Omaha Indian Reservation. The population was 159 at the...

Lorrin Andrews Thurston (July 31, 1858 – May 11, 1931) was a Hawaiian citizen lawyer, politician, and businessman. Thurston played a prominent role in...

(not necessarily connected) surface that is compact and without boundary. The Thurston norm of c {\displaystyle c} is then defined to be ‖ c ‖ T = min...

the Thurston boundary, the Teichmüller geodesic ray associated to a flat surface does not always converge to the corresponding point on the boundary, though...

geometric topology: for example as boundary points of the Teichmüller space (every point in the Thurston boundary of the Teichmüller space is represented...

3-manifold. One form of Thurston's geometrization theorem states: If M is a compact irreducible atoroidal Haken manifold whose boundary has zero Euler characteristic...

surfaces, where the set on which the mapping class group acts is the Thurston boundary of the Teichmüller space. A similar argument is also utilized in the...

theorem", which was proven by Thurston in the special case of Haken manifolds): If a compact 3-manifold with toric boundary is irreducible and algebraically...

geometry, the ending lamination theorem, originally conjectured by William Thurston (1982) as the eleventh problem out of his twenty-four questions, states...

{\displaystyle u_{i}} .[citation needed] This theorem is due to William Thurston and fundamental to the theory of hyperbolic 3-manifolds. It shows that...

the Elk River Chain of Lakes Watershed Lake Saint Clair (Washington) in Thurston County, Washington Lake St. Clair, Missouri, a census-designated place...

County, and Thurston County. In Tennessee, the boundaries are not used to control growth per se, but rather to define long-term city boundaries. (This was...

Ford; Elmswell & Woolpit; Onehouse; Rattlesden; St. Peter’s; Stow Thorney; Thurston. The District of West Suffolk wards of: Abbeygate; Bardwell; Barningham;...

2003: Web. 16 January 2011. “Universe as Doughnut: New Data, New Debate” Thurston, William P. (1997), Three-dimensional Geometry and Topology, Volume 1,...