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If J is a simple closed curve in R^2, the closure of one of the components of R^2-J is homeomorphic with the unit 2-ball. This

**theorem**may be proved using the Riemann mapping ...The bicommutant

**theorem**is a**theorem**within the field of functional analysis regarding certain topological properties of function algebras. The**theorem**says that, given a ...There are several theorems known as the "sandwich

**theorem**." In calculus, the squeeze**theorem**is also sometimes known as the sandwich**theorem**. In graph theory, the sandwich ...The squeeze

**theorem**, also known as the squeezing**theorem**, pinching**theorem**, or sandwich**theorem**, may be stated as follows. Let there be two functions f_-(x) and f_+(x) such ...The Heine-Borel

**theorem**states that a subspace of R^n (with the usual topology) is compact iff it is closed and bounded. The Heine-Borel**theorem**can be proved using the ...A

**theorem**that guarantees that the trajectory of Langton's ant is unbounded.Due to Euler's prolific output, there are a great number of theorems that are know by the name "Euler's

**theorem**." A sampling of these are Euler's displacement**theorem**for ...A generalization of Turán's

**theorem**to non-complete graphs.Alexandrov's

**theorem**addresses conditions under which a polygon will fold into a convex polyhedron (Malkevitch).A

**theorem**which treats constructions of fields of field characteristic p....