Every idea

Ideas 5851–6000 of 7806.

Name	Kind	Subject
Homology manifold	Definition	Manifolds and cell complexes
Content	Definition	Measure and integration
Catalan's conjecture	Theorem	Number theory
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
Runge–Kutta methods	Definition	Numerical analysis
k-vertex-connected graph	Definition	Combinatorics
Induced representation	Concept	Group theory and generalizations
Eckart–Young theorem	Theorem	Linear and multilinear algebra; matrix theory
Alexander polynomial	Concept	Manifolds and cell complexes
Hilbert cube	Object	General topology
Tate–Shafarevich group	Definition	Number theory
Separable Banach space	Definition	Functional analysis
Kloosterman sum	Definition	Number theory
Hopf link	Example	Manifolds and cell complexes
Little's law	Theorem	Probability theory and stochastic processes
Differential equations in Banach spaces	Concept	Ordinary differential equations
Topological modular forms	Concept	Algebraic topology
Polycyclic group	Definition	Group theory and generalizations
Symbolic method	Concept	Combinatorics
Skorokhod's representation theorem	Theorem	Probability theory and stochastic processes
Poincaré map	Definition	Dynamical systems and ergodic theory
Nonnegative matrix	Concept	Linear and multilinear algebra; matrix theory
Derived set	Definition	General topology
Hölder's inequality	Theorem	Real functions
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
Simplicial complex	Definition	Combinatorics
NIP theory	Definition	Mathematical logic and foundations
Dirichlet character	Definition	Number theory
Set theory	Definition	Mathematical logic and foundations
Conway polynomial	Definition	Number theory
Unimodular matrix	Definition	Linear and multilinear algebra; matrix theory
Substructure	Definition	Mathematical logic and foundations
Analytic semigroup	Concept	Operator theory
Growth rate of a group	Definition	Group theory and generalizations
Frobenius norm	Concept	Linear and multilinear algebra; matrix theory
Riemann–Stieltjes integral	Concept	Real functions
Many-one reduction	Concept	Mathematical logic and foundations
Strong dual space	Definition	Functional analysis
Local trivialization	Concept	Algebraic topology
Fréchet algebra	Definition	Functional analysis
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
Hewitt–Savage zero–one law	Theorem	Probability theory and stochastic processes
Perturbation theory of linear operators	Concept	Operator theory
Lindström–Gessel–Viennot lemma	Lemma	Combinatorics
Local trivialization	Definition	Algebraic topology
Mapping class group	Concept	Manifolds and cell complexes
Factorization of polynomials	Concept	Commutative algebra
Hyperbolic group	Concept	Group theory and generalizations
Bergman kernel	Definition	Functions of a complex variable
Steenrod algebra	Concept	Algebraic topology
Multiplicity of a local ring	Concept	Commutative algebra
Cup product	Concept	Algebraic topology
Affine connection	Concept	Differential geometry
Field of rational functions	Definition	Field theory and polynomials
Young's convolution inequality	Theorem	Integral transforms, operational calculus
Littlewood's three principles	Concept	Measure and integration
Banach measure problem	Problem	Measure and integration
Frobenius group	Concept	Group theory and generalizations
Multiply transitive group action	Definition	Group theory and generalizations
Kauffman bracket	Concept	Manifolds and cell complexes
Jensen's inequality for integrals	Theorem	Real functions
Infinite product	Concept	Sequences, series, summability
Group extension	Definition	Group theory and generalizations
Kontsevich quantization formula	Theorem	Differential geometry
Torsion tensor	Concept	Differential geometry
Torsion group	Concept	Group theory and generalizations
Calderón–Zygmund lemma	Lemma	Harmonic analysis on Euclidean spaces
Baire function	Concept	Real functions
Stirling's series	Example	Special functions
Order of a zero or pole	Definition	Functions of a complex variable
Sublinear function	Concept	Functional analysis
Frobenius norm	Definition	Linear and multilinear algebra; matrix theory
Van Wijngaarden transformation	Concept	Numerical analysis
Satisfiability	Definition	Mathematical logic and foundations
Higher-order logic	Definition	Mathematical logic and foundations
Hyperbolic knot	Concept	Manifolds and cell complexes
Goldstine theorem	Theorem	Functional analysis
Affine differential geometry	Concept	Differential geometry
Brauer–Fowler theorem	Theorem	Group theory and generalizations
Weak convergence of measures	Definition	Probability theory and stochastic processes
Spectral theory	Concept	Operator theory
Total ring of fractions	Concept	Commutative algebra
Catenary ring	Definition	Commutative algebra
Reflection principle	Theorem	Probability theory and stochastic processes
Fixed-point iteration	Concept	Operator theory
Dehn function	Definition	Group theory and generalizations
Monomial order	Definition	Commutative algebra
Limit-point and limit-circle	Definition	Ordinary differential equations
Wiman–Valiron theory	Definition	Functions of a complex variable
de Rham theorem	Theorem	Global analysis, analysis on manifolds
Ricci curvature	Definition	Differential geometry
Seifert surface	Concept	Manifolds and cell complexes
j-invariant	Definition	Number theory
q-Pochhammer symbol	Definition	Combinatorics
Cohomology operation	Concept	Algebraic topology
Cumulant	Definition	Probability theory and stochastic processes
Fundamental class	Definition	Manifolds and cell complexes
Conformal modulus	Definition	Functions of a complex variable
Combinatorial species	Definition	Combinatorics
Profinite group	Concept	Group theory and generalizations
Palais–Smale compactness condition	Definition	Global analysis, analysis on manifolds
Ordinal arithmetic	Concept	Mathematical logic and foundations
Nagata–Smirnov metrization theorem	Theorem	General topology
Sheaf cohomology in topology	Concept	Algebraic topology
Existence and uniqueness of Haar measure	Theorem	Measure and integration
Completion of a ring	Concept	Commutative algebra
Hilbert C*-module	Concept	Functional analysis
Isoperimetric inequality	Theorem	Convex and discrete geometry
Postnikov tower	Definition	Algebraic topology
Multivariate formal power series	Definition	Commutative algebra
Van Vleck's theorem	Theorem	Sequences, series, summability
Sphere eversion	Theorem	Manifolds and cell complexes
VC dimension	Concept	Combinatorics
Intuitionistic type theory	Definition	Mathematical logic and foundations
Approximation property	Definition	Functional analysis
Jordan decomposition of a function of bounded variation	Theorem	Real functions
C* identity	Concept	Functional analysis
Isomonodromic deformation	Concept	Ordinary differential equations
Freiman's theorem	Theorem	Number theory
Localization	Definition	Commutative algebra
Differentiable dependence on parameters	Theorem	Ordinary differential equations
Strassen algorithm	Definition	Numerical analysis
Witt group	Concept	Number theory
Finitely additive measure	Concept	Measure and integration
Transcritical bifurcation	Concept	Ordinary differential equations
Completion of a valued field	Definition	Field theory and polynomials
Outer function	Concept	Functions of a complex variable
Orbifold	Definition	Manifolds and cell complexes
Lie–Trotter product formula	Theorem	Operator theory
Mutually orthogonal Latin squares	Definition	Combinatorics
Curve complex	Concept	Manifolds and cell complexes
Strong operator topology	Concept	Operator theory
Finitely presented group	Definition	Group theory and generalizations
Tight closure	Concept	Commutative algebra
Routh–Hurwitz stability criterion	Theorem	Real functions
Completion of a measure	Concept	Measure and integration
Proper forcing axiom	Definition	Mathematical logic and foundations
Alexander duality	Theorem	Algebraic topology
Kuratowski embedding	Theorem	General topology
Sub-Riemannian manifold	Definition	Differential geometry
Partition of unity	Definition	Global analysis, analysis on manifolds
Logical consequence	Definition	Mathematical logic and foundations