Every idea

Ideas 5701–5850 of 7806.

Name	Kind	Subject
Elementary equivalence	Definition	Mathematical logic and foundations
Many-one reduction	Definition	Mathematical logic and foundations
Picard–Vessiot extension	Definition	Field theory and polynomials
Ramification	Concept	Number theory
Stokes phenomenon	Definition	Ordinary differential equations
Separable degree	Concept	Field theory and polynomials
Mutually orthogonal Latin squares	Concept	Combinatorics
Layer cake representation	Theorem	Measure and integration
Compactly generated space	Definition	General topology
Bockstein homomorphism	Concept	Algebraic topology
Newton polygon	Concept	Field theory and polynomials
Lagrangian submanifold	Concept	Differential geometry
Green–Tao theorem	Theorem	Number theory
Dvoretzky–Rogers theorem	Theorem	Functional analysis
Regular singular point	Concept	Ordinary differential equations
Symmetric operator	Concept	Operator theory
Berry–Esseen theorem	Theorem	Probability theory and stochastic processes
Galois ring	Concept	Commutative algebra
Annulus theorem	Theorem	Manifolds and cell complexes
Lambert series	Concept	Functions of a complex variable
Envelope	Definition	Differential geometry
Gromov's systolic inequality	Theorem	Differential geometry
Annihilator	Concept	Commutative algebra
Measurable cardinal	Definition	Mathematical logic and foundations
Urysohn metrization theorem	Theorem	General topology
Pseudocompact space	Concept	General topology
Continuity of measure from below and above	Proposition	Measure and integration
General recursive function	Concept	Mathematical logic and foundations
Contact manifold	Concept	Differential geometry
Boolean matrix	Definition	Linear and multilinear algebra; matrix theory
Capelli's theorem	Theorem	Field theory and polynomials
Zariski's main theorem	Theorem	Commutative algebra
Hilbert transform	Definition	Integral transforms, operational calculus
Zero sharp	Object	Mathematical logic and foundations
Lambda calculus	Definition	Mathematical logic and foundations
Banach lattice	Concept	Functional analysis
Structure theorem for Artinian rings	Theorem	Commutative algebra
Abel–Jacobi map	Concept	Algebraic geometry
Constructive analysis	Concept	Mathematical logic and foundations
Residually finite group	Concept	Group theory and generalizations
Hausdorff summation	Definition	Sequences, series, summability
Exponential sum	Definition	Number theory
Steenrod algebra	Definition	Algebraic topology
Milnor K-theory	Definition	K-theory
C* identity	Definition	Functional analysis
Diamond principle	Concept	Mathematical logic and foundations
Jones polynomial	Definition	Manifolds and cell complexes
Model theory	Concept	Mathematical logic and foundations
Continuum	Definition	General topology
Bézout domain	Concept	Commutative algebra
Double-negation translation	Concept	Mathematical logic and foundations
Hilbert class field	Definition	Number theory
Stable homotopy groups of spheres	Concept	Algebraic topology
LF-space	Definition	Functional analysis
Fraïssé limit	Definition	Mathematical logic and foundations
Relative homotopy	Definition	Algebraic topology
Stochastic ordering	Concept	Probability theory and stochastic processes
Hidden Markov model	Concept	Statistics
Fraïssé limit	Concept	Mathematical logic and foundations
Berlekamp's algorithm	Definition	Number theory
Cauchy filter	Definition	General topology
Projective resolution	Concept	Commutative algebra
Lie product formula	Theorem	Linear and multilinear algebra; matrix theory
Homology sphere	Concept	Manifolds and cell complexes
Legendre transformation	Definition	Real functions
Thom's cobordism theorem	Theorem	Manifolds and cell complexes
Hilbert space	Concept	Functional analysis
Transcendental extension	Definition	Field theory and polynomials
Dirichlet series	Definition	Number theory
Nevanlinna theory	Definition	Functions of a complex variable
Kronecker's lemma	Lemma	Sequences, series, summability
Filtration	Concept	Probability theory and stochastic processes
Absolutely monotonic function	Definition	Real functions
Riesz projector	Concept	Operator theory
Hilbert–Serre theorem	Theorem	Commutative algebra
Primitive polynomial over a finite field	Concept	Number theory
Regular measure	Concept	Measure and integration
Sperner's lemma	Lemma	Combinatorics
Fréchet–Urysohn space	Definition	General topology
Distribution function of a measurable function	Concept	Measure and integration
Minkowski content	Concept	Measure and integration
Bump function	Concept	Real functions
Castelnuovo–Mumford regularity	Definition	Commutative algebra
Freedman's classification of simply connected 4-manifolds	Theorem	Manifolds and cell complexes
Path lifting property	Theorem	Manifolds and cell complexes
Lusternik–Schnirelmann category	Definition	Algebraic topology
Curry–Howard correspondence	Definition	Mathematical logic and foundations
Singular integral operator	Concept	Harmonic analysis on Euclidean spaces
Coupling	Concept	Probability theory and stochastic processes
Schreier coset graph	Concept	Group theory and generalizations
Topological quantum field theory	Definition	Manifolds and cell complexes
Kronecker's approximation theorem	Theorem	Number theory
Extremal length	Concept	Functions of a complex variable
Well-formed formula	Concept	Mathematical logic and foundations
Poisson bracket	Definition	Differential geometry
Dialectica interpretation	Concept	Mathematical logic and foundations
n-connected space	Definition	Algebraic topology
Ornstein–Uhlenbeck process	Concept	Probability theory and stochastic processes
Radon measure	Concept	Measure and integration
Smith–Volterra–Cantor set	Example	Measure and integration
Erdős–Ginzburg–Ziv theorem	Theorem	Number theory
Tait conjectures	Theorem	Manifolds and cell complexes
Method of steps	Concept	Ordinary differential equations
Hadamard matrix	Concept	Combinatorics
Mathematical formulation of quantum mechanics	Concept	Quantum theory
Janson inequality	Theorem	Combinatorics
Markov chain mixing time	Definition	Probability theory and stochastic processes
Gowers norm	Definition	Number theory
Decreasing rearrangement	Definition	Functional analysis
Involute	Definition	Differential geometry
Hilbert's seventeenth problem	Problem	Field theory and polynomials
Quasi-compactness of the spectrum	Proposition	Algebraic geometry
Strongly regular graph	Definition	Combinatorics
Barycentric subdivision	Concept	Algebraic topology
Automatic group	Concept	Group theory and generalizations
Resolvent	Concept	Operator theory
Hilbert projection theorem	Theorem	Functional analysis
Ultrafilter	Concept	General topology
Outer regular measure	Definition	Measure and integration
Sierpiński's theorem on non-atomic measures	Theorem	Measure and integration
Multivariate division algorithm	Definition	Commutative algebra
Atlas	Concept	Manifolds and cell complexes
Solvable by radicals	Concept	Field theory and polynomials
Local field	Concept	Number theory
Diamond principle	Definition	Mathematical logic and foundations
Metacompact space	Definition	General topology
Mori–Nagata theorem	Theorem	Commutative algebra
Prékopa–Leindler inequality	Theorem	Real functions
Henselization	Definition	Commutative algebra
Langlands program	Conjecture	Number theory
Schauder's theorem on adjoints of compact operators	Theorem	Operator theory
Abel equation of the first kind	Example	Ordinary differential equations
Riemann curvature tensor	Concept	Differential geometry
Itô calculus	Concept	Probability theory and stochastic processes
Hilbert dimension	Definition	Functional analysis
Continuous functional calculus	Concept	Functional analysis
Exact sequence	Concept	Category theory; homological algebra
Kojima–Schur theorem	Theorem	Sequences, series, summability
Hybrid system	Definition	Ordinary differential equations
Riesz's subsequence theorem	Theorem	Measure and integration
Field homomorphism	Definition	Field theory and polynomials
Young measure	Definition	Calculus of variations and optimal control; optimization
Homotopy type theory	Definition	Mathematical logic and foundations
Relaxation oscillation	Definition	Ordinary differential equations
Carathéodory's criterion	Theorem	Measure and integration
Strongly measurable function	Concept	Measure and integration
Lomonosov's invariant subspace theorem	Theorem	Operator theory
Normal ring	Definition	Commutative algebra
Spectral theory of compact operators	Theorem	Operator theory
Sparse matrix	Concept	Numerical analysis