Concepts

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

Ideas 1801–1950 of 2778.

Name	Kind	Subject
Topological field	Concept	Field theory and polynomials
Projective connection	Concept	Differential geometry
Axiom schema of replacement	Concept	Mathematical logic and foundations
Stone–Čech compactification	Concept	General topology
Topological quantum field theory	Concept	Manifolds and cell complexes
Tridiagonal matrix	Concept	Linear and multilinear algebra; matrix theory
Logarithmic capacity	Concept	Potential theory
Graph of groups	Concept	Group theory and generalizations
Second-order arithmetic	Concept	Mathematical logic and foundations
Fejér kernel	Concept	Harmonic analysis on Euclidean spaces
f-vector and h-vector	Concept	Combinatorics
Tor functor	Concept	Commutative algebra
Integral of a non-negative function	Concept	Measure and integration
Disk algebra	Concept	Functional analysis
Absolute neighborhood retract	Concept	General topology
Nilpotent operator	Concept	Operator theory
Sentence	Concept	Mathematical logic and foundations
Clifford analysis	Concept	Functions of a complex variable
Linear algebra method	Concept	Combinatorics
Pontryagin class	Concept	Manifolds and cell complexes
Volterra integral equation	Concept	Integral equations
Point process	Concept	Probability theory and stochastic processes
M-matrix	Concept	Linear and multilinear algebra; matrix theory
Embedding dimension	Concept	Commutative algebra
Commutative algebra over a ring	Concept	Commutative algebra
Clopen set	Concept	General topology
Shape operator	Concept	Differential geometry
Near-field	Concept	Field theory and polynomials
Stationary process	Concept	Probability theory and stochastic processes
Essentially self-adjoint operator	Concept	Operator theory
O-minimal theory	Concept	Mathematical logic and foundations
Curve-shortening flow	Concept	Differential geometry
Loeb measure	Concept	Measure and integration
Lebesgue integral	Concept	Measure and integration
Many-valued logic	Concept	Mathematical logic and foundations
Expander graph	Concept	Combinatorics
von Neumann regular ring	Concept	Associative rings and algebras
Borel measure	Concept	Measure and integration
Locally finite family	Concept	General topology
Elementary abelian group	Concept	Group theory and generalizations
Picard group of a ring	Concept	Commutative algebra
Discriminant of a number field	Concept	Number theory
Invertible ideal	Concept	Commutative algebra
Involute	Concept	Differential geometry
Kloosterman sum	Concept	Number theory
Proximal operator	Concept	Operations research, mathematical programming
Self-avoiding walk	Concept	Statistical mechanics, structure of matter
Ramanujan summation	Concept	Sequences, series, summability
Transcendence basis	Concept	Field theory and polynomials
Kirby–Siebenmann class	Concept	Manifolds and cell complexes
Local time	Concept	Probability theory and stochastic processes
Monomial order	Concept	Commutative algebra
Birth–death process	Concept	Probability theory and stochastic processes
Holomorphy on Banach spaces	Concept	Functional analysis
Limit point compact space	Concept	General topology
H-space	Concept	Algebraic topology
Gateaux derivative	Concept	Functional analysis
Mutually singular measures	Concept	Measure and integration
Fréchet manifold	Concept	Global analysis, analysis on manifolds
Magnus expansion	Concept	Ordinary differential equations
Shooting method	Concept	Numerical analysis
Heegaard splitting	Concept	Manifolds and cell complexes
Stratonovich integral	Concept	Probability theory and stochastic processes
Dirichlet boundary condition	Concept	Ordinary differential equations
Differential Galois theory	Concept	Field theory and polynomials
Cohomological dimension of a group	Concept	Group theory and generalizations
Foundations of mathematics	Concept	Mathematical logic and foundations
Quasiregular map	Concept	Functions of a complex variable
Gaussian free field	Concept	Probability theory and stochastic processes
Spectrum of an element	Concept	Functional analysis
Slowly varying function	Concept	Real functions
Postnikov tower	Concept	Algebraic topology
Berlekamp's algorithm	Concept	Number theory
Hasse principle	Concept	Number theory
Rank of an abelian group	Concept	Group theory and generalizations
Petersson inner product	Concept	Number theory
Homotopy type theory	Concept	Mathematical logic and foundations
Total variation of a measure	Concept	Measure and integration
Complete intersection ring	Concept	Commutative algebra
Restriction of a measure	Concept	Measure and integration
Gauss sum	Concept	Number theory
Abelian extension	Concept	Field theory and polynomials
Mapping cylinder	Concept	Algebraic topology
Associated prime	Concept	Commutative algebra
Normal function	Concept	Mathematical logic and foundations
Intuitionistic type theory	Concept	Mathematical logic and foundations
Loop-erased random walk	Concept	Probability theory and stochastic processes
C0-semigroup	Concept	Operator theory
Enumerative combinatorics	Concept	Combinatorics
Tensor product of Hilbert spaces	Concept	Functional analysis
Differential-algebraic system of equations	Concept	Ordinary differential equations
Eisenstein series	Concept	Number theory
Field homomorphism	Concept	Field theory and polynomials
Abel summation	Concept	Sequences, series, summability
Steenrod reduced power	Concept	Algebraic topology
Tensor product of modules	Concept	Commutative algebra
Height function	Concept	Number theory
Chern–Simons theory	Concept	Manifolds and cell complexes
Forcing	Concept	Mathematical logic and foundations
Homotopic maps	Concept	Algebraic topology
Atomic domain	Concept	Commutative algebra
Krull topology	Concept	Field theory and polynomials
Stable distribution	Concept	Probability theory and stochastic processes
Smooth manifold	Concept	Global analysis, analysis on manifolds
Frame bundle	Concept	Global analysis, analysis on manifolds
Laplace–Beltrami operator	Concept	Global analysis, analysis on manifolds
Hopf bifurcation	Concept	Ordinary differential equations
Quasi-measure-preserving map	Concept	Measure and integration
Information geometry	Concept	Differential geometry
Bloch space	Concept	Functions of a complex variable
Filter limit	Concept	General topology
State on a C*-algebra	Concept	Functional analysis
Darboux integral	Concept	Real functions
Principal curvature	Concept	Differential geometry
Spectrum of a ring	Concept	Algebraic geometry
Henstock–Kurzweil integral	Concept	Real functions
Primary obstruction	Concept	Algebraic topology
Quasi-invariant measure	Concept	Measure and integration
Locally connected space	Concept	General topology
Multiple integral	Concept	Real functions
j-invariant	Concept	Number theory
Support of a module	Concept	Commutative algebra
Elliptic function	Concept	Special functions
Geometric quantization	Concept	Differential geometry
Schreier–Sims algorithm	Concept	Computer science
Periodic solution	Concept	Ordinary differential equations
Compact quantum group	Concept	Functional analysis
Convergence tests	Concept	Sequences, series, summability
Lebesgue–Stieltjes integration	Concept	Real functions
Subnormal subgroup	Concept	Group theory and generalizations
Symbolic power	Concept	Commutative algebra
Seminorm	Concept	Functional analysis
Generalized inverse	Concept	Linear and multilinear algebra; matrix theory
Floquet multiplier	Concept	Ordinary differential equations
Support of a measure	Concept	Measure and integration
Essential spectrum	Concept	Operator theory
Logarithm of a matrix	Concept	Linear and multilinear algebra; matrix theory
Inner measure	Concept	Measure and integration
Spectral triple	Concept	Global analysis, analysis on manifolds
Étale morphism of rings	Concept	Commutative algebra
Entourage	Concept	General topology
Topology of pointwise convergence	Concept	General topology
Boolean-valued model	Concept	Mathematical logic and foundations
Irreducible representation	Concept	Group theory and generalizations
Horner's method	Concept	Computer science
Baire property	Concept	General topology
Christoffel symbols	Concept	Differential geometry
Integral closure	Concept	Commutative algebra
Fourier series	Concept	Harmonic analysis on Euclidean spaces
Quasisymmetric map	Concept	Functions of a complex variable