Every idea

Ideas 8401–8550 of 14183.

Name	Kind	Subject
Locally connected space	Concept	General topology
Dynamical billiards	Definition	Dynamical systems and ergodic theory
Kontsevich integral	Definition	Manifolds and cell complexes
Multiple integral	Concept	Real functions
Weierstrass division theorem	Theorem	Several complex variables and analytic spaces
Iterative root	Definition	Difference and functional equations
Knot	Definition	Manifolds and cell complexes
j-invariant	Concept	Number theory
Margulis arithmeticity theorem	Theorem	Topological groups, Lie groups
Eilenberg–Moore category	Concept	Category theory; homological algebra
Sylow theorems	Theorem	Group theory and generalizations
Support of a module	Concept	Commutative algebra
Topological data analysis	Concept	Statistics
Beck's monadicity theorem	Theorem	Category theory; homological algebra
M. Riesz extension theorem	Theorem	Functional analysis
Ramanujan theta function	Definition	Number theory
Convolution on the line	Definition	Integral transforms, operational calculus
Pseudo-differential operator	Concept	Partial differential equations
Information geometry	Definition	Differential geometry
Plurisubharmonic function	Concept	Several complex variables and analytic spaces
Monad	Concept	Category theory; homological algebra
Minimal harmonic function	Definition	Potential theory
Elliptic function	Concept	Special functions
Fourier restriction problem	Problem	Harmonic analysis on Euclidean spaces
Sobolev space	Definition	Functional analysis
Cellular homology	Definition	Algebraic topology
Lindeberg's condition	Definition	Probability theory and stochastic processes
Babenko–Beckner inequality	Theorem	Harmonic analysis on Euclidean spaces
Convolution property of the Z-transform	Theorem	Integral transforms, operational calculus
Hausdorff content	Definition	Measure and integration
Discontinuous additive functions via a Hamel basis	Example	Difference and functional equations
Picard–Lefschetz theory	Concept	Several complex variables and analytic spaces
Mahler conjecture	Conjecture	Convex and discrete geometry
Geometric quantization	Concept	Differential geometry
Cauchy integral formula on a polydisc	Theorem	Several complex variables and analytic spaces
Filtered algebra	Definition	Associative rings and algebras
Incidence structure	Concept	Geometry
Holomorphic vector bundle	Definition	Several complex variables and analytic spaces
Sasakian manifold	Definition	Differential geometry
Plurisubharmonic exhaustion function	Concept	Several complex variables and analytic spaces
Abel function	Definition	Difference and functional equations
Trapezoidal rule	Concept	Numerical analysis
Fine topology	Definition	Potential theory
Banach–Tarski paradox	Theorem	Mathematical logic and foundations
Telegrapher's equations	Definition	Partial differential equations
Groupoid	Concept	Group theory and generalizations
Dehn's lemma	Theorem	Manifolds and cell complexes
Coercive functional	Definition	Calculus of variations and optimal control; optimization
Abel transform	Definition	Integral transforms, operational calculus
Recurrence and transience of states	Definition	Probability theory and stochastic processes
Minimal period	Definition	Dynamical systems and ergodic theory
Chern–Moser normal form	Theorem	Several complex variables and analytic spaces
Schreier–Sims algorithm	Concept	Computer science
Harish-Chandra character	Definition	Topological groups, Lie groups
Periodic solution	Concept	Ordinary differential equations
Compact quantum group	Concept	Functional analysis
Cartier divisor	Concept	Algebraic geometry
Schouten–Nijenhuis bracket	Concept	Global analysis, analysis on manifolds
Treewidth	Definition	Combinatorics
Prime model	Definition	Mathematical logic and foundations
Erdős–Ko–Rado theorem	Theorem	Combinatorics
Arens–Fort space	Counterexample	General topology
Approximation of a kernel by degenerate kernels	Proposition	Integral equations
Convergence tests	Concept	Sequences, series, summability
Instanton	Definition	Differential geometry
Moduli space	Concept	Algebraic geometry
Bott's Morse-theoretic proof of periodicity	Theorem	Algebraic topology
Lebesgue–Stieltjes integration	Concept	Real functions
Yamabe flow	Definition	Differential geometry
Complex p-adic numbers	Object	Field theory and polynomials
Krylov subspace	Definition	Numerical analysis
Subnormal subgroup	Concept	Group theory and generalizations
Multiple gamma function	Concept	Special functions
Stein equation	Concept	Linear and multilinear algebra; matrix theory
Finite-rank operator	Definition	Operator theory
Free lattice	Definition	Order, lattices, ordered algebraic structures
Amalgamated free product	Definition	General algebraic systems
Order type	Concept	Order, lattices, ordered algebraic structures
System of linear integral equations	Definition	Integral equations
Fano variety	Concept	Algebraic geometry
Jensen's functional equation	Definition	Difference and functional equations
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
Pontryagin dual	Concept	Abstract harmonic analysis
Finite type invariant	Definition	Manifolds and cell complexes
Hahn–Kolmogorov theorem	Theorem	Measure and integration
Free category	Definition	Category theory; homological algebra
Positivstellensatz	Theorem	Algebraic geometry
Erdős conjecture on arithmetic progressions	Conjecture	Number theory
Method of lines	Concept	Numerical analysis
Self-distributive operation	Definition	Group theory and generalizations
ADE singularity	Definition	Algebraic geometry
Gaussian quadrature	Concept	Numerical analysis
Seminorm	Concept	Functional analysis
Continuous function with divergent Fourier series	Counterexample	Harmonic analysis on Euclidean spaces
Generalized inverse	Concept	Linear and multilinear algebra; matrix theory
Unramified morphism	Definition	Algebraic geometry
Causal inference	Definition	Statistics
Myers's theorem	Theorem	Differential geometry
Floquet multiplier	Concept	Ordinary differential equations
Hopf lemma	Lemma	Partial differential equations
Floer homology	Definition	Differential geometry
Nishida nilpotence theorem	Theorem	Algebraic topology
Semiprime ring	Definition	Associative rings and algebras
Gorenstein ring	Definition	Commutative algebra
Conley index	Definition	Dynamical systems and ergodic theory
Malliavin calculus	Definition	Probability theory and stochastic processes
q-difference equation	Concept	Difference and functional equations
Support of a measure	Concept	Measure and integration
Courant–Friedrichs–Lewy condition	Theorem	Numerical analysis
Complex dynamics	Definition	Dynamical systems and ergodic theory
Orthocomplemented lattice	Definition	Order, lattices, ordered algebraic structures
Elliptic hypergeometric series	Concept	Special functions
Restricted Burnside problem	Theorem	Group theory and generalizations
Uniform integrability	Definition	Measure and integration
Topological transitivity	Concept	Dynamical systems and ergodic theory
Meshfree methods	Concept	Numerical analysis
Kunz's theorem	Theorem	Commutative algebra
Simplex category	Object	Category theory; homological algebra
Riesz measure of a subharmonic function	Definition	Potential theory
Wishart distribution	Definition	Statistics
Riesz transform	Concept	Harmonic analysis on Euclidean spaces
Splitting principle	Theorem	Algebraic topology
Essential spectrum	Concept	Operator theory
Subobject	Concept	Category theory; homological algebra
Thom spectrum	Definition	Algebraic topology
Logarithm of a matrix	Concept	Linear and multilinear algebra; matrix theory
Primary obstruction	Definition	Algebraic topology
Regular scheme	Definition	Algebraic geometry
Homogeneous coordinates	Concept	Geometry
Buekenhout geometry	Definition	Geometry
Jack function	Definition	Combinatorics
Jacobi equation	Concept	Calculus of variations and optimal control; optimization
Hartogs's extension theorem	Theorem	Several complex variables and analytic spaces
Quantifier elimination for real closed fields	Theorem	Mathematical logic and foundations
Fuzzy algebraic structure	Concept	General algebraic systems
Krull–Akizuki theorem	Theorem	Commutative algebra
Functional completeness	Definition	General algebraic systems
Birkhoff interpolation	Concept	Approximations and expansions
Tropical variety	Concept	Algebraic geometry
Hopf algebra structure on cohomology	Definition	Algebraic topology
Calculus of finite differences	Concept	Difference and functional equations
Polynomial long division	Definition	Commutative algebra
Inner measure	Concept	Measure and integration
Laguerre equation	Example	Ordinary differential equations
Abscissa of convergence	Concept	Integral transforms, operational calculus
Koszul algebra	Concept	Associative rings and algebras
Hermitian manifold	Definition	Differential geometry