Concepts

A mathematical idea. It can have more than one definition.

Ideas 1951–2100 of 2778.

Name	Kind	Subject
Bridge number	Concept	Manifolds and cell complexes
Deficiency indices	Concept	Operator theory
Homotopy lifting property	Concept	Algebraic topology
Hurwitz zeta function	Concept	Number theory
Purely transcendental extension	Concept	Field theory and polynomials
Group	Concept	Group theory and generalizations
Ramsey theory	Concept	Combinatorics
Convergence in measure	Concept	Measure and integration
Coxeter group	Concept	Group theory and generalizations
Singular perturbation	Concept	Ordinary differential equations
Second-order logic	Concept	Mathematical logic and foundations
Inner model	Concept	Mathematical logic and foundations
Quasi-algebraically closed field	Concept	Field theory and polynomials
Constructivism	Concept	Mathematical logic and foundations
Cylinder set measure	Concept	Measure and integration
Complete local ring	Concept	Commutative algebra
Differential field	Concept	Field theory and polynomials
Skolem normal form	Concept	Mathematical logic and foundations
Strictly convex space	Concept	Functional analysis
q-analog	Concept	Combinatorics
Dimension theory	Concept	Commutative algebra
Partial isometry	Concept	Operator theory
Reeb vector field	Concept	Differential geometry
Algebraic Riccati equation	Concept	Linear and multilinear algebra; matrix theory
Pseudo-Riemannian manifold	Concept	Differential geometry
Hyperbolic 3-manifold	Concept	Manifolds and cell complexes
Nielsen fixed-point theory	Concept	Algebraic topology
Prime knot	Concept	Manifolds and cell complexes
Strict Henselization	Concept	Commutative algebra
Bang–bang control	Concept	Calculus of variations and optimal control; optimization
Toeplitz matrix	Concept	Linear and multilinear algebra; matrix theory
Prime end	Concept	Functions of a complex variable
Toeplitz operator	Concept	Operator theory
Relation algebra	Concept	Mathematical logic and foundations
Interacting particle system	Concept	Probability theory and stochastic processes
Input-to-state stability	Concept	Systems theory; control
Residual set	Concept	General topology
Neumann boundary condition	Concept	Ordinary differential equations
Universally measurable set	Concept	Measure and integration
Gromov–Hausdorff convergence	Concept	Differential geometry
Friedrichs extension	Concept	Operator theory
Property (T)	Concept	Topological groups, Lie groups
Triangular matrix	Concept	Linear and multilinear algebra; matrix theory
Line graph	Concept	Combinatorics
Global dimension	Concept	Commutative algebra
Modular form	Concept	Number theory
de Rham cohomology	Concept	Global analysis, analysis on manifolds
Image of J	Concept	Algebraic topology
Unramified morphism of rings	Concept	Commutative algebra
Knot invariant	Concept	Manifolds and cell complexes
Analytic function between Banach spaces	Concept	Functional analysis
Integrally closed domain	Concept	Commutative algebra
Generalized cohomology theory	Concept	Algebraic topology
Trigonometric functions	Concept	Special functions
Perfect set property	Concept	Mathematical logic and foundations
Weak Lp space	Concept	Functional analysis
Power iteration	Concept	Numerical analysis
Frobenius element	Concept	Number theory
Ramification	Concept	Number theory
Separable degree	Concept	Field theory and polynomials
Mutually orthogonal Latin squares	Concept	Combinatorics
Bockstein homomorphism	Concept	Algebraic topology
Newton polygon	Concept	Field theory and polynomials
Lagrangian submanifold	Concept	Differential geometry
Regular singular point	Concept	Ordinary differential equations
Symmetric operator	Concept	Operator theory
Galois ring	Concept	Commutative algebra
Lambert series	Concept	Functions of a complex variable
Annihilator	Concept	Commutative algebra
Pseudocompact space	Concept	General topology
General recursive function	Concept	Mathematical logic and foundations
Contact manifold	Concept	Differential geometry
Banach lattice	Concept	Functional analysis
Abel–Jacobi map	Concept	Algebraic geometry
Constructive analysis	Concept	Mathematical logic and foundations
Residually finite group	Concept	Group theory and generalizations
Diamond principle	Concept	Mathematical logic and foundations
Model theory	Concept	Mathematical logic and foundations
Bézout domain	Concept	Commutative algebra
Double-negation translation	Concept	Mathematical logic and foundations
Stable homotopy groups of spheres	Concept	Algebraic topology
Stochastic ordering	Concept	Probability theory and stochastic processes
Hidden Markov model	Concept	Statistics
Fraïssé limit	Concept	Mathematical logic and foundations
Projective resolution	Concept	Commutative algebra
Homology sphere	Concept	Manifolds and cell complexes
Hilbert space	Concept	Functional analysis
Filtration	Concept	Probability theory and stochastic processes
Riesz projector	Concept	Operator theory
Primitive polynomial over a finite field	Concept	Number theory
Regular measure	Concept	Measure and integration
Distribution function of a measurable function	Concept	Measure and integration
Minkowski content	Concept	Measure and integration
Bump function	Concept	Real functions
Singular integral operator	Concept	Harmonic analysis on Euclidean spaces
Coupling	Concept	Probability theory and stochastic processes
Schreier coset graph	Concept	Group theory and generalizations
Extremal length	Concept	Functions of a complex variable
Well-formed formula	Concept	Mathematical logic and foundations
Dialectica interpretation	Concept	Mathematical logic and foundations
Ornstein–Uhlenbeck process	Concept	Probability theory and stochastic processes
Radon measure	Concept	Measure and integration
Method of steps	Concept	Ordinary differential equations
Hadamard matrix	Concept	Combinatorics
Mathematical formulation of quantum mechanics	Concept	Quantum theory
Barycentric subdivision	Concept	Algebraic topology
Automatic group	Concept	Group theory and generalizations
Resolvent	Concept	Operator theory
Ultrafilter	Concept	General topology
Atlas	Concept	Manifolds and cell complexes
Solvable by radicals	Concept	Field theory and polynomials
Local field	Concept	Number theory
Riemann curvature tensor	Concept	Differential geometry
Itô calculus	Concept	Probability theory and stochastic processes
Continuous functional calculus	Concept	Functional analysis
Exact sequence	Concept	Category theory; homological algebra
Strongly measurable function	Concept	Measure and integration
Sparse matrix	Concept	Numerical analysis
Shilov boundary	Concept	Functional analysis
Zero-dimensional space	Concept	General topology
Separable closure	Concept	Field theory and polynomials
Doubly stochastic matrix	Concept	Linear and multilinear algebra; matrix theory
Induced representation	Concept	Group theory and generalizations
Alexander polynomial	Concept	Manifolds and cell complexes
Differential equations in Banach spaces	Concept	Ordinary differential equations
Topological modular forms	Concept	Algebraic topology
Symbolic method	Concept	Combinatorics
Nonnegative matrix	Concept	Linear and multilinear algebra; matrix theory
Stiefel–Whitney class	Concept	Manifolds and cell complexes
Fixed-point property	Concept	General topology
Galois representation	Concept	Number theory
Veblen function	Concept	Mathematical logic and foundations
Analytic semigroup	Concept	Operator theory
Frobenius norm	Concept	Linear and multilinear algebra; matrix theory
Riemann–Stieltjes integral	Concept	Real functions
Many-one reduction	Concept	Mathematical logic and foundations
Local trivialization	Concept	Algebraic topology
Riemann–Liouville integral	Concept	Real functions
Von Neumann–Bernays–Gödel set theory	Concept	Mathematical logic and foundations
Normal family	Concept	Functions of a complex variable
Perturbation theory of linear operators	Concept	Operator theory
Mapping class group	Concept	Manifolds and cell complexes
Factorization of polynomials	Concept	Commutative algebra
Hyperbolic group	Concept	Group theory and generalizations
Steenrod algebra	Concept	Algebraic topology
Multiplicity of a local ring	Concept	Commutative algebra
Cup product	Concept	Algebraic topology
Affine connection	Concept	Differential geometry
Littlewood's three principles	Concept	Measure and integration
Frobenius group	Concept	Group theory and generalizations