Concepts

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

Ideas 4351–4454 of 4454.

Name	Kind	Subject
Axiom A	Concept	Dynamical systems and ergodic theory
Trace class operator	Concept	Operator theory
Parabolic subgroup	Concept	Topological groups, Lie groups
Trace operator	Concept	Functional analysis
Positive cone	Concept	Functional analysis
Weierstrass equation	Concept	Algebraic geometry
Algebraic logic	Concept	Mathematical logic and foundations
Aperiodic set of prototiles	Concept	Convex and discrete geometry
Little q-Jacobi polynomials	Concept	Special functions
Band matrix	Concept	Linear and multilinear algebra; matrix theory
Oracle machine	Concept	Mathematical logic and foundations
Duality in category theory	Concept	Category theory; homological algebra
Projective morphism	Concept	Algebraic geometry
Zonotope	Concept	Convex and discrete geometry
Proper cone	Concept	Convex and discrete geometry
Inherently nonfinitely based algebra	Concept	General algebraic systems
Massey product	Concept	Algebraic topology
Spectral theory of dynamical systems	Concept	Dynamical systems and ergodic theory
Interior operator	Concept	Order, lattices, ordered algebraic structures
Polar space	Concept	Geometry
Finite-rank operator	Concept	Operator theory
Weil divisor	Concept	Algebraic geometry
Prime ring	Concept	Associative rings and algebras
Dehn surgery	Concept	Manifolds and cell complexes
Curvature form	Concept	Differential geometry
Moment map	Concept	Differential geometry
Linear discriminant analysis	Concept	Statistics
Gowers norm	Concept	Number theory
Theta correspondence	Concept	Number theory
Fundamental groupoid	Concept	Algebraic topology
Category of posets	Concept	Category theory; homological algebra
Cartan matrix of an algebra	Concept	Associative rings and algebras
Fuchsian equation	Concept	Ordinary differential equations
Lawson topology	Concept	Order, lattices, ordered algebraic structures
Amenable group action	Concept	Abstract harmonic analysis
Minimum-variance unbiased estimator	Concept	Statistics
Concrete category of algebras	Concept	General algebraic systems
Primary decomposition	Concept	Commutative algebra
Blocking set	Concept	Geometry
Semilocal ring	Concept	Associative rings and algebras
Permutation group	Concept	Group theory and generalizations
Barrelled space	Concept	Functional analysis
Fundamental class	Concept	Manifolds and cell complexes
Join	Concept	General topology
Variogram	Concept	Statistics
Δ-complex	Concept	Algebraic topology
Black–Scholes equation	Concept	Partial differential equations
Normed field	Concept	Field theory and polynomials
Priestley space	Concept	Order, lattices, ordered algebraic structures
Markov chain Monte Carlo	Concept	Numerical analysis
Deligne–Lusztig theory	Concept	Group theory and generalizations
Oscillation theory	Concept	Ordinary differential equations
Relative homotopy group	Concept	Algebraic topology
Pesin theory	Concept	Dynamical systems and ergodic theory
Join-irreducible element	Concept	Order, lattices, ordered algebraic structures
Scalar curvature	Concept	Differential geometry
Banach–Mazur distance	Concept	Functional analysis
Generalized Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Functional differential equation	Concept	Ordinary differential equations
Nest algebra	Concept	Operator theory
Zonoid	Concept	Convex and discrete geometry
Sample mean and sample covariance	Concept	Statistics
Uniform algebra	Concept	Functional analysis
Stochastic approximation	Concept	Statistics
Control system	Concept	Systems theory; control
Generalized method of moments	Concept	Statistics
Conjugate points	Concept	Differential geometry
Enumerative geometry	Concept	Algebraic geometry
Jacobian variety	Concept	Algebraic geometry
Progenerator	Concept	Associative rings and algebras
Fourier multiplier	Concept	Harmonic analysis on Euclidean spaces
Hardy–Littlewood circle method	Concept	Number theory
Donaldson theory	Concept	Manifolds and cell complexes
Legendre transformation	Concept	Real functions
Locally compact abelian group	Concept	Topological groups, Lie groups
Scott topology	Concept	Order, lattices, ordered algebraic structures
Semiperfect ring	Concept	Associative rings and algebras
Hodge structure	Concept	Algebraic geometry
Universal class	Concept	Mathematical logic and foundations
Maximal subfield	Concept	Associative rings and algebras
Lefschetz number	Concept	Algebraic topology
L-infinity space	Concept	Functional analysis
Complemented lattice	Concept	Order, lattices, ordered algebraic structures
Absolute continuity	Concept	Real functions
Projective space	Concept	Algebraic geometry
Stone space	Concept	Order, lattices, ordered algebraic structures
Kernel density estimation	Concept	Statistics
Topology generated by a family of seminorms	Concept	Functional analysis
Arnold diffusion	Concept	Dynamical systems and ergodic theory
Kodaira dimension	Concept	Algebraic geometry
Langevin equation	Concept	Probability theory and stochastic processes
Injective resolution	Concept	Category theory; homological algebra
Sigma-compact space	Concept	General topology
Statistical convergence	Concept	Sequences, series, summability
Quaternion algebra	Concept	Associative rings and algebras
Disjoint union topology	Concept	General topology
Reduced scheme	Concept	Algebraic geometry
Divisible group	Concept	Group theory and generalizations
Riesz basis	Concept	Harmonic analysis on Euclidean spaces
Invariant mean	Concept	Abstract harmonic analysis
Pariah groups	Concept	Group theory and generalizations
Teichmüller space	Concept	Functions of a complex variable
Continuous multiplication	Concept	Topological groups, Lie groups
Obstruction theory	Concept	Algebraic topology