Every idea

Ideas 10501–10650 of 14183.

Name	Kind	Subject
Continuum	Concept	General topology
Reduced homology	Concept	Algebraic topology
Tonelli's existence theorem	Theorem	Calculus of variations and optimal control; optimization
Ordinal sum of posets	Definition	Order, lattices, ordered algebraic structures
Boolean model	Concept	Probability theory and stochastic processes
Moduli of algebraic curves	Concept	Algebraic geometry
Alexander subbase theorem	Theorem	General topology
Ergodic hypothesis	Concept	Dynamical systems and ergodic theory
Subobject classifier	Concept	Category theory; homological algebra
Douglas' lemma	Lemma	Operator theory
Absorbing set	Concept	Functional analysis
Givens rotation	Concept	Numerical analysis
Hermitian kernel	Definition	Integral equations
Lie subgroup	Concept	Topological groups, Lie groups
Complete theory	Definition	Mathematical logic and foundations
Cyclotomic field	Concept	Number theory
Reflexive space	Concept	Functional analysis
Inner function	Concept	Functions of a complex variable
Γ-convergence	Definition	Calculus of variations and optimal control; optimization
Eilenberg–Moore spectral sequence	Theorem	Algebraic topology
Approximation theory	Definition	Approximations and expansions
Resultant	Concept	Commutative algebra
Degree of a central simple algebra	Concept	Associative rings and algebras
Bernstein's problem	Problem	Differential geometry
Hilbert–Schmidt operator	Definition	Operator theory
Cantor function	Counterexample	Real functions
Group of Lie type	Concept	Group theory and generalizations
Completion of a normed space	Definition	Functional analysis
Completion is flat	Theorem	Commutative algebra
Derived functor	Concept	Category theory; homological algebra
Veblen–Young theorem	Theorem	Geometry
Pullback	Definition	Category theory; homological algebra
Topology generated by a family of seminorms	Definition	Functional analysis
Topological mixing	Definition	Dynamical systems and ergodic theory
Infinite Galois theory	Definition	Field theory and polynomials
Szemerédi–Trotter theorem	Theorem	Convex and discrete geometry
Bernstein's theorem on absolutely convergent Fourier series	Theorem	Harmonic analysis on Euclidean spaces
GCD domain	Definition	Commutative algebra
Dickson's lemma	Lemma	Order, lattices, ordered algebraic structures
Period-doubling bifurcation	Concept	Dynamical systems and ergodic theory
Infinitely divisible distribution	Definition	Probability theory and stochastic processes
Conway polynomial	Concept	Number theory
p-harmonic function	Definition	Potential theory
Ancillary statistic	Definition	Statistics
Hilbert's fifth problem	Problem	Topological groups, Lie groups
Fourier transform method for convolution equations	Concept	Integral equations
Riemann's existence theorem	Theorem	Functions of a complex variable
Uniform module	Definition	Associative rings and algebras
Dvoretzky's theorem	Theorem	Functional analysis
Saccheri quadrilateral	Definition	Geometry
Hyperarithmetical theory	Concept	Mathematical logic and foundations
Lattice in a locally compact group	Concept	Topological groups, Lie groups
Torus knot	Concept	Manifolds and cell complexes
Completion of a ring	Definition	Commutative algebra
Symmetric function	Definition	Combinatorics
Functor of points	Definition	Algebraic geometry
Kuratowski closure axioms	Concept	General topology
Bayes factor	Concept	Statistics
Hilbert transform	Concept	Integral transforms, operational calculus
Supermartingale	Concept	Probability theory and stochastic processes
Cantor's uniqueness theorem for trigonometric series	Theorem	Harmonic analysis on Euclidean spaces
Fenchel–Young inequality	Theorem	Convex and discrete geometry
Equicontinuous system	Concept	Dynamical systems and ergodic theory
Littlewood–Paley decomposition	Definition	Harmonic analysis on Euclidean spaces
Geodesic	Concept	Differential geometry
Successor order	Concept	Order, lattices, ordered algebraic structures
Hermitian symmetric space	Concept	Several complex variables and analytic spaces
Minkowski–Carathéodory theorem	Theorem	Convex and discrete geometry
Commutative Gelfand–Naimark theorem	Theorem	Functional analysis
Tetration	Example	Real functions
Fibred category	Concept	Category theory; homological algebra
Shallow water equations	Concept	Fluid mechanics
Reiterman's theorem	Theorem	General algebraic systems
Kummer's equation	Concept	Special functions
Resonance	Definition	Ordinary differential equations
Sierpiński space	Example	General topology
Cofinality	Definition	Mathematical logic and foundations
Condenser capacity	Concept	Potential theory
Specht module	Concept	Group theory and generalizations
Stopped process	Definition	Probability theory and stochastic processes
Balayage	Concept	Potential theory
Lawvere theory	Concept	Category theory; homological algebra
Švarc–Milnor lemma	Theorem	Group theory and generalizations
Jeffreys prior	Definition	Statistics
Fundamental group	Definition	Algebraic topology
U-statistic	Concept	Statistics
Steinitz theorem on convex hull interiors	Theorem	Convex and discrete geometry
Tauberian theorems for integral transforms	Theorem	Sequences, series, summability
Screw theory	Concept	Mechanics of particles and systems
Splitting field of a central simple algebra	Concept	Associative rings and algebras
Kirillov orbit method	Definition	Topological groups, Lie groups
Crossed product	Definition	Functional analysis
Numerical differentiation	Concept	Numerical analysis
Brown–Peterson cohomology	Definition	Algebraic topology
Transcendence degree	Definition	Field theory and polynomials
Finitely generated variety	Concept	General algebraic systems
Korteweg–De Vries equation	Definition	Partial differential equations
Addition theorem for spherical harmonics	Theorem	Special functions
Associated bundle	Concept	Algebraic topology
Weak equivalence	Definition	Category theory; homological algebra
Inverse quadratic interpolation	Theorem	Numerical analysis
Zero morphism	Definition	Category theory; homological algebra
Inaccessible cardinal	Concept	Mathematical logic and foundations
Pure weights	Concept	Number theory
Monge point	Concept	Geometry
Rational point	Definition	Algebraic geometry
Γ-convergence	Concept	Calculus of variations and optimal control; optimization
Frobenius element	Definition	Number theory
Enumerative combinatorics	Definition	Combinatorics
Browder–Minty theorem	Theorem	Operator theory
Holonomic sequence	Concept	Difference and functional equations
Montel space	Concept	Functional analysis
Lemniscate elliptic functions	Definition	Special functions
Osculating circle	Concept	Differential geometry
Lefschetz duality	Theorem	Algebraic topology
Almost complex manifold	Definition	Differential geometry
Morrey–Campanato space	Concept	Functional analysis
Thin set	Definition	Potential theory
Groupoid	Definition	Group theory and generalizations
Grothendieck inequality	Theorem	Functional analysis
Total variation diminishing scheme	Concept	Numerical analysis
Universal class	Definition	Mathematical logic and foundations
Caristi fixed-point theorem	Theorem	Operator theory
Oka manifold	Concept	Several complex variables and analytic spaces
Carathéodory metric	Definition	Several complex variables and analytic spaces
Elliptic integral	Concept	Special functions
Fourier basis of L2 of the circle	Theorem	Harmonic analysis on Euclidean spaces
Gaussian measure	Definition	Measure and integration
Brody hyperbolicity	Definition	Several complex variables and analytic spaces
Real spectrum of self-adjoint operators	Theorem	Operator theory
Kelvin transform	Definition	Potential theory
Dolbeault operator	Definition	Several complex variables and analytic spaces
Semisimple ring	Concept	Associative rings and algebras
Projective hierarchy	Definition	Mathematical logic and foundations
Chebyshev system	Concept	Approximations and expansions
Closed operator	Definition	Operator theory
Complex measure	Concept	Measure and integration
Kodaira vanishing theorem	Theorem	Algebraic geometry
Non-uniform discrete Fourier transform	Concept	Numerical analysis
Periodic solution of a difference equation	Definition	Difference and functional equations
Hyperbolic set	Definition	Dynamical systems and ergodic theory
Site	Concept	Category theory; homological algebra
de Branges space	Concept	Functional analysis
Adele ring	Definition	Number theory
Post's theorem	Theorem	Mathematical logic and foundations
Recurrence and capacity of graphs	Theorem	Potential theory
Coulomb wave function	Definition	Special functions
Krein–Smulian theorem	Theorem	Functional analysis
Relatively free algebra	Concept	General algebraic systems
Nil ideal	Concept	Associative rings and algebras