Every idea

Ideas 3901–4050 of 7806.

Name	Kind	Subject
Operator system	Concept	Functional analysis
Net	Concept	General topology
Lagrange's theorem in S3	Example	Group theory and generalizations
Quillen's theorem on complex cobordism	Theorem	Algebraic topology
Semimartingale	Concept	Probability theory and stochastic processes
Weakly compact cardinal	Definition	Mathematical logic and foundations
Homotopy fiber	Concept	Algebraic topology
Resonance	Concept	Ordinary differential equations
Pringsheim convergence	Definition	Sequences, series, summability
Monomial ideal	Concept	Commutative algebra
Doob's martingale inequality	Theorem	Probability theory and stochastic processes
Brun sieve	Definition	Number theory
Homotopy fiber	Definition	Algebraic topology
Maass wave form	Definition	Number theory
Lamplighter group	Example	Group theory and generalizations
Ricci curvature	Concept	Differential geometry
Erdős distinct distances problem	Problem	Convex and discrete geometry
Realizability	Concept	Mathematical logic and foundations
Poisson manifold	Definition	Differential geometry
Determinacy	Definition	Mathematical logic and foundations
Fredholm alternative	Theorem	Linear and multilinear algebra; matrix theory
Max-flow min-cut theorem	Theorem	Combinatorics
WZ theory	Definition	Combinatorics
Feller process	Concept	Probability theory and stochastic processes
Fukaya category	Concept	Differential geometry
Random group	Concept	Group theory and generalizations
Mazur–Ulam theorem	Theorem	Functional analysis
Hilbert symbol	Definition	Number theory
Block design	Concept	Combinatorics
Discrete valuation ring	Definition	Commutative algebra
Eilenberg–Steenrod axioms	Definition	Algebraic topology
Character sum	Definition	Number theory
Kolmogorov quotient	Definition	General topology
Beltrami equation	Definition	Functions of a complex variable
Integral extension	Definition	Commutative algebra
Daniell integral	Concept	Measure and integration
1 + 2 + 3 + 4 + ⋯	Example	Sequences, series, summability
Spectrum of an element	Definition	Functional analysis
Barbalat's lemma	Lemma	Ordinary differential equations
Siegel's theorem on integral points	Theorem	Number theory
Seminorm	Definition	Functional analysis
Compactly generated space	Concept	General topology
Artin–Tate lemma	Lemma	Commutative algebra
Commuting probability	Concept	Group theory and generalizations
Exchangeable random variables	Concept	Probability theory and stochastic processes
Proof that subgroups of index two are normal	Proof	Group theory and generalizations
Sober space	Concept	General topology
Integro-differential equation	Definition	Integral equations
Nerve of a cover	Concept	Algebraic topology
Borel hierarchy	Concept	Mathematical logic and foundations
Ext functor	Concept	Commutative algebra
S-finite measure	Definition	Measure and integration
Weak homotopy equivalence	Concept	Algebraic topology
Percolation theory	Definition	Probability theory and stochastic processes
Axiom of constructibility	Concept	Mathematical logic and foundations
Bornological space	Concept	Functional analysis
Buchberger's algorithm	Concept	Commutative algebra
Fiber bundle	Definition	Algebraic topology
Eckmann–Hilton duality	Definition	Algebraic topology
Minkowski content	Definition	Measure and integration
Perfect set	Definition	General topology
The integers modulo the even integers	Example	Group theory and generalizations
Almost convergence	Definition	Sequences, series, summability
Jones polynomial	Concept	Manifolds and cell complexes
Nilpotency class	Concept	Group theory and generalizations
Portmanteau theorem	Theorem	Probability theory and stochastic processes
Limit point compact space	Definition	General topology
Loewner order	Definition	Linear and multilinear algebra; matrix theory
Feldman–Hájek theorem	Theorem	Measure and integration
Limit set	Definition	Dynamical systems and ergodic theory
Fractional calculus	Definition	Real functions
Field of rational functions	Concept	Field theory and polynomials
Rack and quandle	Definition	Manifolds and cell complexes
Grünwald–Letnikov derivative	Definition	Real functions
Nevanlinna–Pick interpolation	Theorem	Functions of a complex variable
Particular point topology	Example	General topology
Approximate derivative	Concept	Real functions
Log-normal distribution	Example	Probability theory and stochastic processes
Pi-system	Concept	Measure and integration
Matroid minor	Concept	Combinatorics
Dehn–Sommerville equations	Theorem	Convex and discrete geometry
Stieltjes function	Definition	Real functions
Nonexpansive map	Definition	Operator theory
Weak operator topology	Concept	Operator theory
Finite model theory	Concept	Mathematical logic and foundations
Poincaré–Hopf theorem	Theorem	Manifolds and cell complexes
Arithmetic group	Concept	Group theory and generalizations
Darboux integral	Definition	Real functions
Association scheme	Definition	Combinatorics
Approximately finite-dimensional C*-algebra	Concept	Functional analysis
Capacity of a set	Concept	Potential theory
Modular lambda function	Object	Number theory
Affine differential geometry	Definition	Differential geometry
Paris–Harrington theorem	Theorem	Mathematical logic and foundations
Thom space	Definition	Algebraic topology
Loewner differential equation	Concept	Functions of a complex variable
Selberg sieve	Concept	Number theory
Schauder basis	Concept	Functional analysis
Brownian bridge	Definition	Probability theory and stochastic processes
Analytic set	Definition	Mathematical logic and foundations
Intuitionistic logic	Definition	Mathematical logic and foundations
Stable homotopy theory	Concept	Algebraic topology
Monodromy theorem	Theorem	Functions of a complex variable
Matrix norm	Concept	Linear and multilinear algebra; matrix theory
Geodesic curvature	Concept	Differential geometry
Wiener process	Definition	Probability theory and stochastic processes
The special linear group is the kernel of the determinant	Example	Group theory and generalizations
Measure-preserving transformation	Concept	Measure and integration
Matroid rank	Definition	Combinatorics
p-adic absolute value	Definition	Field theory and polynomials
Finite measure	Definition	Measure and integration
Fodor's lemma	Lemma	Mathematical logic and foundations
Class number formula	Theorem	Number theory
Hochster–Roberts theorem	Theorem	Commutative algebra
Differential of a smooth map	Definition	Global analysis, analysis on manifolds
Indecomposable continuum	Concept	General topology
Measure space	Definition	Measure and integration
h-cobordism theorem	Theorem	Manifolds and cell complexes
Lieb–Thirring inequality	Theorem	Partial differential equations
Ordinal analysis	Definition	Mathematical logic and foundations
Robin boundary condition	Concept	Ordinary differential equations
Polish space	Concept	General topology
Artin–Schreier theorem	Theorem	Field theory and polynomials
Woodin cardinal	Definition	Mathematical logic and foundations
Extension and contraction of ideals	Concept	Commutative algebra
Killing vector field	Concept	Differential geometry
Hyperfunction	Definition	Functional analysis
Perron's irreducibility criterion	Theorem	Field theory and polynomials
Elliptic function	Definition	Special functions
Neutral differential equation	Concept	Ordinary differential equations
Karhunen–Loève theorem	Theorem	Probability theory and stochastic processes
Regular variation	Definition	Real functions
Atiyah–Guillemin–Sternberg convexity theorem	Theorem	Differential geometry
Algebraic independence	Definition	Field theory and polynomials
Complex cobordism	Concept	Algebraic topology
Pettis integral	Definition	Measure and integration
Strongly measurable function	Definition	Measure and integration
Seiberg–Witten invariants	Definition	Manifolds and cell complexes
Uniformization theorem	Theorem	Functions of a complex variable
Totally unimodular matrix	Definition	Linear and multilinear algebra; matrix theory
Hilbert polynomial	Definition	Commutative algebra
Covariant derivative	Concept	Differential geometry
Integral extensions of fields	Proposition	Commutative algebra
Totally positive matrix	Concept	Linear and multilinear algebra; matrix theory
Minkowski's second theorem	Theorem	Number theory
Lasker–Noether theorem	Theorem	Commutative algebra
Riemannian manifold	Definition	Differential geometry
Hyperconnected space	Definition	General topology
Spectral graph theory	Concept	Combinatorics
Wedge sum	Concept	General topology