Every idea

Ideas 7051–7200 of 7806.

Name	Kind	Subject
Beurling–Ahlfors transform	Concept	Harmonic analysis on Euclidean spaces
JSJ decomposition	Theorem	Manifolds and cell complexes
Riemann zeta function	Definition	Number theory
Asymmetric simple exclusion process	Example	Probability theory and stochastic processes
Structure theorem for finitely generated modules over a principal ideal domain	Theorem	Commutative algebra
Link	Definition	Manifolds and cell complexes
Summation in topological groups	Concept	Sequences, series, summability
Measure problem of Lebesgue	Problem	Measure and integration
Von Neumann–Bernays–Gödel set theory	Definition	Mathematical logic and foundations
Kepler problem	Example	Mechanics of particles and systems
Gaussian binomial coefficient	Definition	Combinatorics
Measurable Riemann mapping theorem	Theorem	Functions of a complex variable
Cohen's theorem on Noetherian rings	Theorem	Commutative algebra
Hadamard three-circle theorem	Theorem	Functions of a complex variable
Primary ideal	Definition	Commutative algebra
Radical ideal	Definition	Commutative algebra
Internal set theory	Concept	Mathematical logic and foundations
Fuglede's theorem	Theorem	Operator theory
Kolmogorov continuity theorem	Theorem	Probability theory and stochastic processes
Schur decomposition	Theorem	Linear and multilinear algebra; matrix theory
Compact-open topology	Definition	General topology
Schwarz–Pick theorem	Theorem	Functions of a complex variable
G-delta set	Concept	General topology
1 − 1 + 2 − 6 + 24 − 120 + ⋯	Example	Sequences, series, summability
Mapping cylinder	Definition	Algebraic topology
Genus	Definition	Manifolds and cell complexes
Singular values of a compact operator	Definition	Operator theory
Homotopy invariance of homology	Theorem	Algebraic topology
Eilenberg–Zilber theorem	Theorem	Algebraic topology
Regular local rings are domains	Theorem	Commutative algebra
Abel's summation formula	Theorem	Sequences, series, summability
Dynkin system	Concept	Measure and integration
Interpolation space	Definition	Functional analysis
Exponential stability	Definition	Ordinary differential equations
Length of a module	Definition	Commutative algebra
p-adic integer	Concept	Field theory and polynomials
Schur's theorem	Theorem	Combinatorics
Abelian differential	Definition	Functions of a complex variable
Radical extension	Concept	Field theory and polynomials
Krull topology	Definition	Field theory and polynomials
Morley's categoricity theorem	Theorem	Mathematical logic and foundations
Perfect closure	Definition	Field theory and polynomials
Simplicial complex	Concept	Combinatorics
Tsen's theorem	Theorem	Field theory and polynomials
Brauer's theorem on induced characters	Theorem	Group theory and generalizations
Martin's axiom	Concept	Mathematical logic and foundations
Sullivan minimal model	Definition	Algebraic topology
van der Waerden's theorem	Theorem	Combinatorics
Connection on a vector bundle	Definition	Differential geometry
Grothendieck's local duality	Theorem	Commutative algebra
Church's theorem on undecidability of first-order logic	Theorem	Mathematical logic and foundations
Type	Definition	Mathematical logic and foundations
Profinite group	Definition	Group theory and generalizations
Krein–Rutman theorem	Theorem	Operator theory
Operator space	Concept	Operator theory
Banach manifold	Definition	Global analysis, analysis on manifolds
n-skeleton	Concept	Manifolds and cell complexes
Lyndon–Hochschild–Serre spectral sequence	Theorem	Group theory and generalizations
Fractional Brownian motion	Concept	Probability theory and stochastic processes
BK-space	Definition	Functional analysis
Riemann hypothesis	Conjecture	Number theory
Word metric	Concept	Group theory and generalizations
Dual operator	Concept	Operator theory
Hook length formula	Theorem	Combinatorics
Newlander–Nirenberg theorem	Theorem	Several complex variables and analytic spaces
Cyclotomic extension	Concept	Field theory and polynomials
Markov kernel	Definition	Probability theory and stochastic processes
Betti number	Definition	Algebraic topology
Hausdorff content	Concept	Measure and integration
Asymptotic analysis	Definition	Approximations and expansions
Rational homotopy theory	Definition	Algebraic topology
Modular group	Object	Number theory
Wasserstein metric	Concept	Calculus of variations and optimal control; optimization
Nonexpansive map	Concept	Operator theory
Perfect graph	Definition	Combinatorics
Cyclic extension	Concept	Field theory and polynomials
Ultraproduct	Definition	Mathematical logic and foundations
Bockstein homomorphism	Definition	Algebraic topology
The odd integers are not a subgroup of the integers	Example	Group theory and generalizations
Signed measure	Concept	Measure and integration
Smooth structure	Definition	Manifolds and cell complexes
Pseudo-arc	Example	General topology
Surface	Concept	Manifolds and cell complexes
Measure with density	Definition	Measure and integration
List coloring	Concept	Combinatorics
Galois' theorem on solvability	Theorem	Field theory and polynomials
Artinian module	Definition	Associative rings and algebras
Lindeberg's condition	Concept	Probability theory and stochastic processes
Risch algorithm	Concept	Computer science
Zeta function regularization	Concept	Number theory
Köthe–Toeplitz dual	Concept	Functional analysis
Graph embedding	Definition	Combinatorics
Bing–Borsuk conjecture	Conjecture	Manifolds and cell complexes
Perfectly normal space	Concept	General topology
Thompson groups	Object	Group theory and generalizations
Torsion submodule	Definition	Commutative algebra
Submanifold	Concept	Global analysis, analysis on manifolds
Volterra integral equation	Definition	Integral equations
Closed operator	Concept	Operator theory
Irreducible representation	Definition	Group theory and generalizations
Densely defined operator	Definition	Operator theory
Extreme point	Definition	Functional analysis
Conjugate points	Definition	Differential geometry
Infinitesimal generator of a Markov process	Concept	Probability theory and stochastic processes
Algebraic combinatorics	Concept	Combinatorics
Annihilator	Definition	Commutative algebra
Torsion-free group	Definition	Group theory and generalizations
Slice theorem	Theorem	Manifolds and cell complexes
Chow–Rashevskii theorem	Theorem	Systems theory; control
Null set	Concept	Measure and integration
Kolmogorov–Arnold representation theorem	Theorem	Real functions
Steenrod square	Concept	Algebraic topology
Eigenvalue perturbation	Concept	Linear and multilinear algebra; matrix theory
Periodic solution	Definition	Ordinary differential equations
Uniform integrability	Concept	Measure and integration
Sheaf cohomology in topology	Definition	Algebraic topology
Totally unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Polish space	Definition	General topology
Entourage	Definition	General topology
Grunsky matrix	Definition	Functions of a complex variable
Tensor algebra	Definition	Linear and multilinear algebra; matrix theory
Character sum	Concept	Number theory
Empirical process	Definition	Probability theory and stochastic processes
Perfect field	Concept	Field theory and polynomials
Exponential type	Definition	Functions of a complex variable
Gelfand transform	Concept	Functional analysis
Holonomy	Definition	Differential geometry
Tensor decomposition	Concept	Linear and multilinear algebra; matrix theory
Hardy–Littlewood maximal function	Concept	Harmonic analysis on Euclidean spaces
Interpolation space	Concept	Functional analysis
Strong operator topology	Definition	Operator theory
Exact couple	Concept	Algebraic topology
Unknotting problem	Problem	Manifolds and cell complexes
Stable distribution	Definition	Probability theory and stochastic processes
Exponential stability	Concept	Ordinary differential equations
G-structure	Concept	Differential geometry
Hausdorff dimension	Definition	Measure and integration
Macdonald polynomial	Concept	Combinatorics
Graph minor	Concept	Combinatorics
Trefoil knot	Example	Manifolds and cell complexes
Transfer homomorphism	Definition	Group theory and generalizations
Herbrand's theorem	Theorem	Mathematical logic and foundations
Pseudoanalytic function	Definition	Functions of a complex variable
Ehresmann connection	Definition	Differential geometry
Germ	Concept	General topology
Lévy's upward theorem	Theorem	Probability theory and stochastic processes
Quartic reciprocity	Theorem	Number theory
Cup product	Definition	Algebraic topology
Completion of a valued field	Concept	Field theory and polynomials
Mackey topology	Concept	Functional analysis