Every idea

Ideas 5401–5550 of 7806.

Name	Kind	Subject
Bernstein's inequality for polynomials	Theorem	Approximations and expansions
Von Neumann algebra	Definition	Functional analysis
Height function	Concept	Number theory
Constructivism	Definition	Mathematical logic and foundations
Chern–Simons theory	Concept	Manifolds and cell complexes
Forcing	Concept	Mathematical logic and foundations
Homotopic maps	Concept	Algebraic topology
Bounded variation	Definition	Real functions
Center manifold	Definition	Ordinary differential equations
Atomic domain	Concept	Commutative algebra
Krull topology	Concept	Field theory and polynomials
Stable distribution	Concept	Probability theory and stochastic processes
Kleene's recursion theorem	Theorem	Mathematical logic and foundations
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
Cauchy–Kovalevskaya theorem for ODEs	Theorem	Ordinary differential equations
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
Dodgson condensation	Definition	Linear and multilinear algebra; matrix theory
Lagrange resolvent	Definition	Field theory and polynomials
Minkowski–Bouligand dimension	Definition	Measure and integration
Cauchy–Davenport theorem	Theorem	Number theory
State on a C*-algebra	Concept	Functional analysis
Mathematical formulation of quantum mechanics	Definition	Quantum theory
Borel–Carathéodory theorem	Theorem	Functions of a complex variable
Darboux integral	Concept	Real functions
Finiteness of the class number	Theorem	Number theory
Compactness of the spectrum	Theorem	Functional analysis
Principal curvature	Concept	Differential geometry
Bidual and canonical embedding	Definition	Functional analysis
Spectrum of a ring	Concept	Algebraic geometry
Cubic formula	Theorem	Field theory and polynomials
Integers modulo n form a cyclic group	Example	Group theory and generalizations
Chern–Weil homomorphism	Definition	Differential geometry
Seifert–Weber space	Example	Manifolds and cell complexes
Vitali covering lemma	Lemma	Measure and integration
Nikodym convergence theorem	Theorem	Measure and integration
Henstock–Kurzweil integral	Concept	Real functions
Primary obstruction	Concept	Algebraic topology
Quasi-invariant measure	Concept	Measure and integration
Nested radical	Example	Sequences, series, summability
Local property	Definition	Commutative algebra
Differential-algebraic system of equations	Definition	Ordinary differential equations
Dirichlet space	Definition	Functions of a complex variable
Locally connected space	Concept	General topology
Kontsevich integral	Definition	Manifolds and cell complexes
Multiple integral	Concept	Real functions
Knot	Definition	Manifolds and cell complexes
j-invariant	Concept	Number theory
Sylow theorems	Theorem	Group theory and generalizations
Support of a module	Concept	Commutative algebra
Information geometry	Definition	Differential geometry
Elliptic function	Concept	Special functions
Cellular homology	Definition	Algebraic topology
Lindeberg's condition	Definition	Probability theory and stochastic processes
Hausdorff content	Definition	Measure and integration
Geometric quantization	Concept	Differential geometry
Sasakian manifold	Definition	Differential geometry
Banach–Tarski paradox	Theorem	Mathematical logic and foundations
Dehn's lemma	Theorem	Manifolds and cell complexes
Recurrence and transience of states	Definition	Probability theory and stochastic processes
Schreier–Sims algorithm	Concept	Computer science
Periodic solution	Concept	Ordinary differential equations
Compact quantum group	Concept	Functional analysis
Treewidth	Definition	Combinatorics
Prime model	Definition	Mathematical logic and foundations
Erdős–Ko–Rado theorem	Theorem	Combinatorics
Arens–Fort space	Counterexample	General topology
Convergence tests	Concept	Sequences, series, summability
Instanton	Definition	Differential geometry
Lebesgue–Stieltjes integration	Concept	Real functions
Yamabe flow	Definition	Differential geometry
Complex p-adic numbers	Object	Field theory and polynomials
Subnormal subgroup	Concept	Group theory and generalizations
Finite-rank operator	Definition	Operator theory
Prime avoidance lemma	Lemma	Commutative algebra
Symbolic power	Concept	Commutative algebra
Abel–Jacobi map	Definition	Algebraic geometry
Cohomological dimension of a group	Definition	Group theory and generalizations
Finite type invariant	Definition	Manifolds and cell complexes
Hahn–Kolmogorov theorem	Theorem	Measure and integration
Erdős conjecture on arithmetic progressions	Conjecture	Number theory
Seminorm	Concept	Functional analysis
Generalized inverse	Concept	Linear and multilinear algebra; matrix theory
Myers's theorem	Theorem	Differential geometry
Floquet multiplier	Concept	Ordinary differential equations
Floer homology	Definition	Differential geometry
Nishida nilpotence theorem	Theorem	Algebraic topology
Gorenstein ring	Definition	Commutative algebra
Malliavin calculus	Definition	Probability theory and stochastic processes
Support of a measure	Concept	Measure and integration
Restricted Burnside problem	Theorem	Group theory and generalizations
Uniform integrability	Definition	Measure and integration
Kunz's theorem	Theorem	Commutative algebra
Splitting principle	Theorem	Algebraic topology
Essential spectrum	Concept	Operator theory
Thom spectrum	Definition	Algebraic topology
Logarithm of a matrix	Concept	Linear and multilinear algebra; matrix theory
Primary obstruction	Definition	Algebraic topology
Quantifier elimination for real closed fields	Theorem	Mathematical logic and foundations
Krull–Akizuki theorem	Theorem	Commutative algebra
Hopf algebra structure on cohomology	Definition	Algebraic topology
Polynomial long division	Definition	Commutative algebra
Inner measure	Concept	Measure and integration
Laguerre equation	Example	Ordinary differential equations
Hermitian manifold	Definition	Differential geometry
Infinitary logic	Definition	Mathematical logic and foundations
Spectral triple	Concept	Global analysis, analysis on manifolds
Étale morphism of rings	Concept	Commutative algebra
Birth–death process	Definition	Probability theory and stochastic processes
Entourage	Concept	General topology
Topology of pointwise convergence	Concept	General topology
Gage–Hamilton–Grayson theorem	Theorem	Differential geometry
Boolean-valued model	Concept	Mathematical logic and foundations
Positive element	Definition	Functional analysis
Galois connection between subgroups and subfields	Definition	Field theory and polynomials
Kuratowski closure axioms	Definition	General topology
Casson invariant	Definition	Manifolds and cell complexes
Karamata's inequality	Theorem	Real functions
Net	Definition	General topology
Kleene's T predicate	Definition	Mathematical logic and foundations
Irreducible representation	Concept	Group theory and generalizations
Rauch comparison theorem	Theorem	Differential geometry
Bipolar theorem	Theorem	Functional analysis
Radon measure	Definition	Measure and integration
Normal coordinates	Definition	Differential geometry
Horner's method	Concept	Computer science
Frostman lemma	Lemma	Measure and integration
Ext functor	Definition	Commutative algebra
Phragmén–Lindelöf principle	Theorem	Functions of a complex variable
Lindström's theorem	Theorem	Mathematical logic and foundations
Baire property	Concept	General topology
Christoffel symbols	Concept	Differential geometry
Prime decomposition of 3-manifolds	Theorem	Manifolds and cell complexes
Theory	Definition	Mathematical logic and foundations
Cellular approximation theorem	Theorem	Manifolds and cell complexes
Nonstandard analysis	Definition	Real functions
Ideal quotient	Definition	Commutative algebra
Wirtinger's inequality for functions	Theorem	Real functions
Frattini subgroup	Definition	Group theory and generalizations
Integral closure	Concept	Commutative algebra
Fourier series	Concept	Harmonic analysis on Euclidean spaces
Method of steps	Definition	Ordinary differential equations
James's theorem	Theorem	Functional analysis
Quasisymmetric map	Concept	Functions of a complex variable
Cycle double cover conjecture	Conjecture	Combinatorics