Every idea

Ideas 8551–8700 of 10181.

Name	Kind	Subject
Tomita–Takesaki theory	Definition	Functional analysis
Hilbert polynomial	Concept	Commutative algebra
Borel hierarchy	Definition	Mathematical logic and foundations
Saturated model	Concept	Mathematical logic and foundations
Character of a representation	Concept	Group theory and generalizations
Bartle–Dunford–Schwartz integral	Concept	Functional analysis
Rado graph	Object	Combinatorics
Semicontinuity	Concept	General topology
Tychonoff's non-uniqueness example	Counterexample	Partial differential equations
Gelfond–Schneider theorem	Theorem	Number theory
Stereographic projection	Definition	Functions of a complex variable
Soliton	Definition	Partial differential equations
Kan extension	Concept	Category theory; homological algebra
Sokhotski–Plemelj theorem	Theorem	Functions of a complex variable
Finitely complete category	Definition	Category theory; homological algebra
Euler characteristic	Concept	Algebraic topology
Semilattice	Definition	Order, lattices, ordered algebraic structures
Strictly singular operator	Concept	Operator theory
Henselian ring	Concept	Commutative algebra
Orbifold	Concept	Manifolds and cell complexes
Constant-mean-curvature surface	Concept	Differential geometry
Kardar–Parisi–Zhang equation	Concept	Probability theory and stochastic processes
Spectral theory	Definition	Operator theory
Dodgson condensation	Concept	Linear and multilinear algebra; matrix theory
Archimedean equivalence classes	Concept	Order, lattices, ordered algebraic structures
Bang–bang control	Definition	Calculus of variations and optimal control; optimization
Strictly convex space	Definition	Functional analysis
Law of the iterated logarithm	Theorem	Probability theory and stochastic processes
Ring of invariants	Definition	Commutative algebra
Stable vector bundle	Concept	Algebraic geometry
Mazur's torsion theorem	Theorem	Number theory
Injective tensor product	Concept	Functional analysis
Borel summation	Definition	Sequences, series, summability
Intuitionism	Definition	Mathematical logic and foundations
Stiff equation	Concept	Numerical analysis
Baire property	Definition	General topology
Moduli of algebraic curves	Definition	Algebraic geometry
Normal coordinates	Concept	Differential geometry
Ample line bundle	Concept	Algebraic geometry
Normal number	Definition	Number theory
Integrable function	Definition	Measure and integration
Gromov's theorem on groups of polynomial growth	Theorem	Group theory and generalizations
Scheme	Definition	Algebraic geometry
Eilenberg swindle	Concept	Associative rings and algebras
Spin structure	Concept	Differential geometry
Krein–Milman theorem	Theorem	Functional analysis
Clifford's theorem on special divisors	Theorem	Algebraic geometry
Köthe conjecture	Conjecture	Associative rings and algebras
Apéry's theorem	Theorem	Number theory
Equidistribution modulo one	Definition	Number theory
Sheaf on a site	Concept	Category theory; homological algebra
Legendrian submanifold	Definition	Differential geometry
Set theory	Concept	Mathematical logic and foundations
Atomic domain	Definition	Commutative algebra
Semiautomaton as a unary algebra	Example	General algebraic systems
Nerve of a category	Concept	Category theory; homological algebra
Global field	Definition	Number theory
Natural density	Concept	Number theory
Embedded prime	Concept	Commutative algebra
Hessenberg matrix	Definition	Linear and multilinear algebra; matrix theory
Infinite Galois theory	Concept	Field theory and polynomials
Rational variety	Definition	Algebraic geometry
Epimorphism	Concept	Category theory; homological algebra
Euler equations	Concept	Partial differential equations
Proof of the uniqueness of inverses	Proof	Group theory and generalizations
Jordan–Dedekind chain condition	Concept	Order, lattices, ordered algebraic structures
Group action on a variety	Concept	Algebraic geometry
Differential Galois theory	Definition	Field theory and polynomials
Singular simplicial set	Concept	Algebraic topology
Regulator of a number field	Concept	Number theory
Church–Turing thesis	Concept	Mathematical logic and foundations
Noncommutative geometry	Definition	Global analysis, analysis on manifolds
Serre's modularity conjecture	Theorem	Number theory
Random ordinary differential equation	Concept	Ordinary differential equations
Dynkin quiver	Definition	Associative rings and algebras
Dirichlet distribution	Example	Probability theory and stochastic processes
Fundamental theorem of calculus for Lebesgue integrals	Theorem	Real functions
Continuous lattice	Concept	Order, lattices, ordered algebraic structures
Heyting arithmetic	Definition	Mathematical logic and foundations
Phase space	Definition	Ordinary differential equations
Kurosh subgroup theorem	Theorem	Group theory and generalizations
Riemann–Hilbert problem	Problem	Functions of a complex variable
Height function	Definition	Number theory
Euler's theorem on normal curvatures	Theorem	Differential geometry
Adjunction formula	Theorem	Algebraic geometry
Calderón–Zygmund estimates	Theorem	Partial differential equations
Infinite product	Definition	Sequences, series, summability
Nef line bundle	Concept	Algebraic geometry
An infinite product converges iff its series of logarithms converges	Proposition	Sequences, series, summability
Schauder basis	Definition	Functional analysis
Abel–Poisson summation of Fourier series	Concept	Harmonic analysis on Euclidean spaces
Cramér's theorem	Theorem	Probability theory and stochastic processes
Nilpotent Lie group	Definition	Topological groups, Lie groups
Median algebra as a ternary algebra	Example	General algebraic systems
Mean-field game	Definition	Game theory, economics, finance, and other social and behavioral sciences
Seifert–van Kampen theorem	Theorem	Manifolds and cell complexes
Erdős–Rado theorem	Theorem	Mathematical logic and foundations
Exact functor	Concept	Category theory; homological algebra
Kirchhoff's matrix tree theorem	Theorem	Combinatorics
Quintic equation	Example	Field theory and polynomials
Fundamental group	Concept	Algebraic topology
Minimal prime ideal	Concept	Commutative algebra
Karoubi envelope	Concept	Category theory; homological algebra
Minlos theorem	Theorem	Measure and integration
Socle of a module	Concept	Associative rings and algebras
Hopf's formula	Theorem	Group theory and generalizations
Sheaf of modules	Concept	Algebraic geometry
Localization of a module	Definition	Commutative algebra
Hereditary ring	Definition	Associative rings and algebras
Fourier series	Definition	Harmonic analysis on Euclidean spaces
Zero divisors are the union of associated primes	Theorem	Commutative algebra
Countably compact space	Concept	General topology
Grothendieck topos	Concept	Category theory; homological algebra
Kernel	Concept	Category theory; homological algebra
Submanifold	Definition	Global analysis, analysis on manifolds
Comonad	Definition	Category theory; homological algebra
Tsirelson space	Example	Functional analysis
Torsion of a curve	Concept	Differential geometry
Radical ideal	Concept	Commutative algebra
Silverman–Toeplitz theorem	Theorem	Sequences, series, summability
Stone's representation theorem for Boolean algebras	Theorem	Order, lattices, ordered algebraic structures
Quasiconvex function	Concept	Real functions
Hecke operator	Concept	Number theory
Rankine–Hugoniot conditions	Theorem	Partial differential equations
Product	Concept	Category theory; homological algebra
Hochschild homology	Concept	Associative rings and algebras
Haar measure on a Lie group	Definition	Topological groups, Lie groups
Group of Lie type	Definition	Group theory and generalizations
Skew polynomial ring	Concept	Associative rings and algebras
Fiber product of schemes	Definition	Algebraic geometry
Shanks transformation	Definition	Numerical analysis
Unique factorization of ideals in a Dedekind domain	Theorem	Commutative algebra
Arithmetic progression	Example	Number theory
Hardy's inequality	Theorem	Real functions
Class operators H S P	Concept	General algebraic systems
Green's relations	Concept	Group theory and generalizations
Operator space	Definition	Operator theory
Toda bracket	Definition	Algebraic topology
Laplace's equation	Concept	Partial differential equations
Brown–Peterson cohomology	Concept	Algebraic topology
Persistent homology	Concept	Algebraic topology
Foliation	Definition	Manifolds and cell complexes
Prime model	Concept	Mathematical logic and foundations
Chebyshev's sum inequality	Theorem	Real functions
Divisible group	Definition	Group theory and generalizations
Fatou's lemma	Lemma	Measure and integration
Wave equation	Definition	Partial differential equations
Kleene's T predicate	Concept	Mathematical logic and foundations
Category of elements	Concept	Category theory; homological algebra
Lambek's lemma	Lemma	Category theory; homological algebra