Birkhoff's theorem may refer to several theorems named for the American mathematician George David Birkhoff: Birkhoff's theorem (relativity) Birkhoff's...

In general relativity, Birkhoff's theorem states that any spherically symmetric solution of the vacuum field equations must be static and asymptotically...

non-negative and less than or equal to 1. The Birkhoff–von Neumann theorem (often known simply as Birkhoff's theorem) states that the polytope B n {\displaystyle...

specifically in the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (or PBW theorem) is a result giving an explicit description of the universal...

is related to the space average. Two of the most important theorems are those of Birkhoff (1931) and von Neumann which assert the existence of a time...

dynamical systems, Poincaré–Birkhoff theorem (also known as Poincaré–Birkhoff fixed point theorem and Poincaré's last geometric theorem) states that every area-preserving...

other similarly named results, see Birkhoff's theorem (disambiguation). In mathematics, Birkhoff's representation theorem for distributive lattices states...

electromagnetism, Birkhoff's theorem concerns spherically symmetric static solutions of Maxwell's field equations of electromagnetism. The theorem is due to George...

as do the abelian groups, the rings, the monoids etc. According to Birkhoff's theorem, a class of algebraic structures of the same signature is a variety...

In mathematics, the Birkhoff–Grothendieck theorem classifies holomorphic vector bundles over the complex projective line. In particular every holomorphic...

problem, and general relativity. Today, Birkhoff is best remembered for the ergodic theorem. The George D. Birkhoff House, his residence in Cambridge, Massachusetts...

fixed-point theorem Nielsen fixed-point theorem Poincaré–Birkhoff theorem proves the existence of two fixed points Ryll-Nardzewski fixed-point theorem Schauder...

representation theorem Birkhoff's HSP theorem Birkhoff's theorem Birkhoff–Kakutani theorem Pierce–Birkhoff conjecture Pierce–Birkhoff ring Poincaré–Birkhoff–Witt...

the Birkhoff–Kellogg invariant-direction theorem, named after G. D. Birkhoff and O. D. Kellogg, is a generalization of the Brouwer fixed-point theorem. The...

the only proper partial operation effect algebras There is a "Meta Birkhoff Theorem" by Andreka, Nemeti and Sain (1982). Peter Burmeister (1993). "Partial...

Poincaré–Birkhoff–Witt theorem states that every Lie algebra embeds into the commutator Lie algebra of its universal enveloping algebra. Ado's theorem states...

Poincaré-Bendixson theorem, on the existence of attractors for two-dimensional dynamical systems; Poincaré–Birkhoff–Witt theorem, concerning lie algebras...

of George D. Birkhoff (crater) Birkhoff interpolation Birkhoff's axioms Birkhoff's theorem (disambiguation), multiple theorems Birkhoff decomposition...

mass is undergoing gravitational collapse (Misner et al. 1973; see Birkhoff's theorem). The metric thus has form d s 2 = − ( 1 − 2 M / r ) d t 2 + ( 1 −...

became known after his early death for what many now call the Jebsen-Birkhoff theorem for the metric tensor outside a general, spherical mass distribution...

compact in the weak topology: see Reflexive space#Properties. the Birkhoff-Kakutani theorem: the result that for a topological group, metrizability, first...

In logic, Birkhoff's theorem in equational logic states that an equality t = u is a semantic consequence of a set of equalities E, if and only if t = u...

geometry) Birkhoff–Von Neumann theorem (linear algebra) Birkhoff's representation theorem (lattice theory) Birkhoff's theorem (ergodic theory) Birkhoff's theorem...

{\displaystyle r>0} , are pre-compact. The Birkhoff–Kakutani theorem (named after mathematicians Garrett Birkhoff and Shizuo Kakutani) states that the following...

rules are added for which the deduction theorem fails. Most notably, the deduction theorem fails to hold in Birkhoff–von Neumann quantum logic, because the...

spherically symmetric and static. The static assumption is unneeded, as Birkhoff's theorem states that any spherically symmetric vacuum solution of Einstein's...

König's theorem Menger's theorem (1927) The max-flow min-cut theorem (Ford–Fulkerson algorithm) The Birkhoff–Von Neumann theorem (1946) Dilworth's theorem. In...

In matrix theory, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive...

is Cayley's original theorem. Wagner–Preston theorem is the analogue for inverse semigroups. Birkhoff's representation theorem, a similar result in order...

all P not in E. The special case for λ = 0 is essentially the Birkhoff ergodic theorem, from which the existence of a suitable measure 0 set E for any...