In mathematics, a classification theorem answers the classification problem: "What are the objects of a given type, up to some equivalence?". It gives...

In mathematics, the classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite...

free dictionary. Classification of Compact Surfaces in Mathifold Project The Classification of Surfaces and the Jordan Curve Theorem in Home page of Andrew...

Data classification (disambiguation) Classification theorem Folk taxonomy Fuzzy classification "The Classification Society | Scientific Classification Organization"...

the fundamental theorem of arithmetic is basic to what would now be called number theory. Some of these are classification theorems of objects which...

mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the work...

A Guide to the Classification Theorem for Compact Surfaces is a textbook in topology, on the classification of two-dimensional surfaces. It was written...

algebra, the Wedderburn–Artin theorem is a classification theorem for semisimple rings and semisimple algebras. The theorem states that an (Artinian) semisimple...

In mathematics, the Enriques–Kodaira classification groups compact complex surfaces into ten classes, each parametrized by a moduli space. For most of...

{R}}} . A number of classification theorems have been obtained; but quite interestingly, a number of anti-classification theorems have been found as well...

there have been many works trying to find a measure-classification theorem similar to Ratner's theorems but for diagonalizable actions, motivated by conjectures...

involutions of simple groups as the basis for the classification of finite simple groups, as the Brauer–Fowler theorem shows that there are only a finite number...

In mathematics, Maharam's theorem is a deep result about the decomposability of measure spaces, which plays an important role in the theory of Banach...

terms double torus and triple torus are also occasionally used. The classification theorem for surfaces states that every compact connected surface is topologically...

complexity theory, a branch of computer science, the Max/min CSP/Ones classification theorems state necessary and sufficient conditions that determine the complexity...

specialization, for reasons we discuss as the end of the article. The classification theorem for electromagnetic fields characterizes the bivector F in relation...

mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses...

sufficiently nice order structure. The classification theorem for AF-algebras serves as a prototype for classification results for larger classes of separable...

classification is a theorem in pure mathematics applying to any Lorentzian manifold, independent of any physical interpretation. The classification was...

subgroups except for the trivial group and G itself. The mentioned classification theorem states that the list of finite simple groups consists of 18 countably...

Examples are Von Neumann–Morgenstern utility theorem and Debreu's representation theorems. Classification theorem – Describes the objects of a given type,...

{\displaystyle E} is supersingular or not. The Dieudonné–Manin classification theorem was proved by Dieudonné (1955) and Yuri Manin (1963). It describes...

proved the Ehrenpreis–Malgrange theorem and the Malgrange preparation theorem, essential for the classification theorem of the elementary catastrophes...

surface is g. A genus g surface is a two-dimensional manifold. The classification theorem for surfaces states that every compact connected two-dimensional...

study of the notion of limit groups and of relatively hyperbolic groups. Theorem. Two non-abelian torsion-free hyperbolic groups are elementarily equivalent...

classification is essentially a variant of Maharam's classification theorem for separable measure algebras. The version of Maharam's classification theorem...

typical example is the classification of finitely generated abelian groups which is a specialization of the structure theorem for finitely generated modules...

. The first classification theorem for persistent homology appeared in 1994 via Barannikov's canonical forms. The classification theorem interpreting...

theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...

(in general). However, they satisfy a generalization of the Pythagorean theorem, and in information geometry the corresponding statistical manifold is...