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

Tits group or one of 26 groups called the "sporadic groups" The classification theorem has applications in many branches of mathematics, as questions about...

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

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

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

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

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

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

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

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

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

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...

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

uniquely determined simple groups, by the Jordan–Hölder theorem. The complete classification of finite simple groups, completed in 2004, is a major milestone...

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

Von Neumann–Morgenstern utility theorem and Debreu's representation theorems. Classification theorem "Cayley's Theorem and its Proof". www.sjsu.edu. Retrieved...

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

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...

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...

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

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

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

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...

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

their geometry in the sense of Tits. The belief has now become a theorem – the classification of finite simple groups. Inspection of the list of finite simple...

space without introducing singularities or self-intersections. The classification theorem of closed surfaces states that any connected closed surface is homeomorphic...

for the quotient field K of W rather than W. The Dieudonné–Manin classification theorem was proved by Dieudonné (1955) and Manin (1963). It describes the...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

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

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