In algebraic group theory, approximation theorems are an extension of the Chinese remainder theorem to algebraic groups G over global fields k. Eichler...

Superstrong approximation is a generalisation of strong approximation in algebraic groups G, to provide spectral gap results. The spectrum in question is...

property (weak 'weak approximation', sic) for a variety V over a number field is weak approximation (cf. approximation in algebraic groups), for finite sets...

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...

Weak approximation may refer to: Weak approximation theorem, an extension of the Chinese remainder theorem to algebraic groups over global fields Weak...

Cellular approximation theorem (algebraic topology) Dold–Thom theorem (algebraic topology) Eilenberg–Ganea theorem (homological algebra, algebraic topology)...

In algebraic topology, the cellular approximation theorem states that a map between CW-complexes can always be taken to be of a specific type. Concretely...

number. In the 1840s, Joseph Liouville obtained the first lower bound for the approximation of algebraic numbers: If x is an irrational algebraic number...

In mathematics, superstrong may refer to: Superstrong cardinal in set theory Superstrong approximation in algebraic group theory This disambiguation page...

In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by...

is a list of algebraic topology topics. Simplex Simplicial complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem Abstract...

a separated algebraic stack, which is roughly a "best possible" approximation to the stack by a separated algebraic space. All algebraic spaces are assumed...

Hasse principle for algebraic groups was used in the proofs of the Weil conjecture for Tamagawa numbers and the strong approximation theorem. Local analysis...

mod 8. This is an algebraic form of Bott periodicity. The class of Lipschitz groups (a.k.a. Clifford groups or Clifford–Lipschitz groups) was discovered...

the resistant E8 case (see strong approximation in algebraic groups), thus completing the proof of Weil's conjecture. In 2011, Jacob Lurie and Dennis Gaitsgory...

systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of...

) They have been further studied in the Argentinian algebraic logic school of Antonio Monteiro. De Morgan algebras are important for the study of the...

permutation group, a result known today as Cayley's theorem. In succeeding years, Cayley systematically investigated infinite groups and the algebraic properties...

abelian groups (since every abelian group is a quotient of a free abelian group). This is the origin of the term generator. The approximation here is...

His main publications were on quadratic forms and algebraic groups. Approximation in algebraic groups Betke–Kneser theorem Kneser–Tits conjecture Kneser's...

Poisson algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups. Manifolds with a Poisson algebra structure...

from 1977 to 1992. His interests are algebra, algebraic geometry and number theory. He solved the Strong approximation problem, developed the reduced K-theory...

subdivision is an important tool in algebraic topology. The barycentric subdivision is an operation on simplicial complexes. In algebraic topology it is sometimes...

Archimedean property. Alajbegovic, J.; Mockor, J. (1992), Approximation Theorems in Commutative Algebra: Classical and Categorical Methods, NATO ASI Series...

elliptic cohomology. En-algebra equivariant algebraic topology Equivariant algebraic topoloy is the study of spaces with (continuous) group action. etale étale...

In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other....

an algebraic lattice. Also, a kind of converse holds: Every algebraic lattice is isomorphic to Sub(A) for some algebra A. There is another algebraic lattice...

In algebraic group theory, a thin group is a discrete Zariski-dense subgroup of G(R) that has infinite covolume, where G is a semisimple algebraic group...

difference between a number stored in the computer and the true number that it is an approximation of. Numerical linear algebra uses properties of vectors and...

theory, proof theory, and algebraic logic) 05: Combinatorics 06: Order, lattices, ordered algebraic structures 08: General algebraic systems 11: Number theory...