Every idea

Ideas 8401–8550 of 10181.

Name	Kind	Subject
Galois representation	Definition	Number theory
Lawson topology	Definition	Order, lattices, ordered algebraic structures
Sanov's theorem	Theorem	Probability theory and stochastic processes
Cayley–Abels graph	Concept	Topological groups, Lie groups
Lorentz group	Example	Topological groups, Lie groups
Nonemptiness of the spectrum	Theorem	Functional analysis
Quasi-primal algebra	Concept	General algebraic systems
Normal family	Definition	Functions of a complex variable
Solvability of x^n - a	Proposition	Field theory and polynomials
Modular lattice	Concept	Order, lattices, ordered algebraic structures
Topological semigroup	Concept	Topological groups, Lie groups
Determinacy	Concept	Mathematical logic and foundations
Castelnuovo's rationality criterion	Theorem	Algebraic geometry
Open subgroup	Concept	Topological groups, Lie groups
Wild knot	Counterexample	Manifolds and cell complexes
Knot	Concept	Manifolds and cell complexes
Pringsheim convergence	Concept	Sequences, series, summability
Tate's thesis	Concept	Number theory
Tits alternative	Theorem	Group theory and generalizations
Spin structure	Definition	Differential geometry
Spectral space	Definition	General topology
Locally presentable category	Definition	Category theory; homological algebra
Wynn's epsilon algorithm	Definition	Numerical analysis
Cohomological dimension of a field	Concept	Field theory and polynomials
Valuative criterion	Theorem	Algebraic geometry
Hilbert's syzygy theorem	Theorem	Commutative algebra
Ising model	Example	Statistical mechanics, structure of matter
Smooth morphism	Definition	Algebraic geometry
Reduced scheme	Definition	Algebraic geometry
Representation theory of the Lorentz group	Example	Topological groups, Lie groups
Derivation	Definition	Commutative algebra
Artin–Wedderburn theorem	Theorem	Associative rings and algebras
Urysohn universal space	Object	General topology
Marcinkiewicz interpolation theorem	Theorem	Functional analysis
Filtered algebra	Concept	Associative rings and algebras
Simplicial homology	Definition	Algebraic topology
3-manifold	Concept	Manifolds and cell complexes
Prevariety	Definition	General algebraic systems
Brauer character	Concept	Group theory and generalizations
Picard's little theorem	Theorem	Functions of a complex variable
Smooth structure	Concept	Manifolds and cell complexes
Liouville's theorems on elliptic functions	Theorem	Special functions
Galois connection between subgroups and subfields	Concept	Field theory and polynomials
Dedekind zeta function	Definition	Number theory
Fréchet–Urysohn space	Concept	General topology
Semilocally simply connected space	Concept	Manifolds and cell complexes
Hurwitz-stable matrix	Definition	Linear and multilinear algebra; matrix theory
Transport equation	Definition	Partial differential equations
Aitken's delta-squared process	Definition	Numerical analysis
Bruck–Ryser–Chowla theorem	Theorem	Combinatorics
Sturm's theorem	Theorem	Field theory and polynomials
Projective resolution	Definition	Commutative algebra
Gelfand–Levitan theory	Concept	Ordinary differential equations
Cauchy–Riemann operator	Definition	Several complex variables and analytic spaces
Normal scheme	Definition	Algebraic geometry
Permanent	Definition	Linear and multilinear algebra; matrix theory
Euler's pentagonal number theorem	Theorem	Number theory
Stochastic ordering	Definition	Probability theory and stochastic processes
Contractible space	Concept	Algebraic topology
Hecke character	Concept	Number theory
The natural numbers under addition are not a group	Example	Group theory and generalizations
Dual pair	Concept	Functional analysis
n-skeleton	Definition	Manifolds and cell complexes
Unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Clifford–Klein form	Concept	Manifolds and cell complexes
Initial algebra	Concept	Category theory; homological algebra
Ruzsa triangle inequality	Theorem	Number theory
Borel subgroup	Definition	Group theory and generalizations
Localization of a space	Definition	Algebraic topology
Unital magma	Definition	Group theory and generalizations
Ordered semigroup	Definition	Order, lattices, ordered algebraic structures
Abelian variety	Concept	Algebraic geometry
Willmore energy	Concept	Differential geometry
Liouvillian function	Definition	Field theory and polynomials
Cylinder set measure	Definition	Measure and integration
Self-similar measure	Concept	Measure and integration
Hasse–Minkowski theorem	Theorem	Number theory
Frobenius theorem on Cesàro and Abel summability	Theorem	Sequences, series, summability
Linking number	Definition	Manifolds and cell complexes
Cardinal characteristics of the continuum	Definition	Mathematical logic and foundations
Calderón problem	Problem	Partial differential equations
Univalent function	Concept	Functions of a complex variable
Thue–Siegel–Roth theorem	Theorem	Number theory
Isometry of Riemannian manifolds	Concept	Differential geometry
Friedberg–Muchnik theorem	Theorem	Mathematical logic and foundations
Topological monoid	Concept	Topological groups, Lie groups
Width of a poset	Concept	Order, lattices, ordered algebraic structures
Weyl's inequality	Theorem	Linear and multilinear algebra; matrix theory
Monad in nonstandard topology	Concept	General topology
Almost everywhere	Concept	Measure and integration
Volterra's function	Counterexample	Real functions
Unramified morphism of rings	Definition	Commutative algebra
Self-similar process	Concept	Probability theory and stochastic processes
Dugundji extension theorem	Theorem	General topology
Bimodule	Definition	Associative rings and algebras
Wasserstein metric	Definition	Calculus of variations and optimal control; optimization
Golod–Shafarevich theorem	Theorem	Associative rings and algebras
Mori domain	Definition	Commutative algebra
Semilinear PDE	Concept	Partial differential equations
Tarski's high school algebra problem	Problem	General algebraic systems
Order topology	Concept	General topology
Post algebra	Concept	Order, lattices, ordered algebraic structures
Morita equivalence	Concept	Associative rings and algebras
Iterated exponentiation	Example	Sequences, series, summability
Projection-valued measure	Definition	Operator theory
Self-avoiding walk	Definition	Statistical mechanics, structure of matter
Way-below relation	Concept	Order, lattices, ordered algebraic structures
Semiprimary ring	Definition	Associative rings and algebras
Relation algebra	Definition	Mathematical logic and foundations
Cohomology ring	Concept	Algebraic topology
Local field	Definition	Number theory
Gromov's non-squeezing theorem	Theorem	Differential geometry
Jordan–Zassenhaus theorem	Theorem	Associative rings and algebras
Injective module	Definition	Commutative algebra
Quantifier elimination	Definition	Mathematical logic and foundations
Quiver	Concept	Associative rings and algebras
Contravariant functor	Concept	Category theory; homological algebra
Congruence lattice	Concept	General algebraic systems
Neumann boundary condition	Definition	Ordinary differential equations
Fundamental identity for ramification and inertia	Theorem	Number theory
Carleson measure	Definition	Functions of a complex variable
Grassmannian as classifying space	Example	Algebraic topology
Approximate derivative	Definition	Real functions
Green's relations	Definition	Group theory and generalizations
Compact-open topology	Concept	General topology
Strong dual space	Concept	Functional analysis
Kähler differentials	Definition	Commutative algebra
Bing metrization theorem	Theorem	General topology
Hardy–Littlewood circle method	Definition	Number theory
Mild solution	Definition	Operator theory
Order embedding	Concept	Order, lattices, ordered algebraic structures
Banach–Mazur compactum	Object	Functional analysis
Whitney extension theorem	Theorem	Real functions
Representation of a quiver	Definition	Associative rings and algebras
Exponential object	Concept	Category theory; homological algebra
Knaster–Tarski theorem	Theorem	Order, lattices, ordered algebraic structures
Black–Scholes equation	Definition	Partial differential equations
Integral of a Hopf algebra	Concept	Associative rings and algebras
Beth definability theorem	Theorem	Mathematical logic and foundations
Jensen's covering theorem	Theorem	Mathematical logic and foundations
Unification	Concept	Computer science
Dihedral quandle	Example	Manifolds and cell complexes
Group representation	Definition	Group theory and generalizations
Cylindric algebra	Definition	Mathematical logic and foundations
Matrix summability method	Definition	Sequences, series, summability
Segre embedding	Example	Algebraic geometry
Mackey–Arens theorem	Theorem	Functional analysis
Local homomorphism	Definition	Commutative algebra
Dedekind's problem	Problem	Order, lattices, ordered algebraic structures
Turing pattern	Concept	Partial differential equations