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

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

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...

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

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...

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

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

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

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

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

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

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

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...

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

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

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

generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite...

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...

general methods, initiated by David Hilbert and the Italian school of algebraic geometry in the beginning of the century, and later formalized by André Weil...

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

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

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

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...

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...

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

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...

composition of mappings. The results obtained in the study of operator algebras are often phrased in algebraic terms, while the techniques used are often...

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

their algebraic tensor product. One can define a tensor product of von Neumann algebras (a completion of the algebraic tensor product of the algebras considered...

algebra with the language and problems of geometry. Fundamentally, it studies algebraic varieties. Algebraic graph theory a branch of graph theory in...