Nodes at W0, stub

A tag, a kind, a name, an inventory row, and a same_as or a source.

Ideas 7051–7200 of 8415.

Name	Kind	Subject
Linearly disjoint extensions	Definition	Field theory and polynomials
Deformation theory	Concept	Algebraic geometry
Burkholder–Davis–Gundy inequality	Theorem	Probability theory and stochastic processes
Rational point	Concept	Algebraic geometry
Crossing number	Concept	Manifolds and cell complexes
Universal covering group	Concept	Topological groups, Lie groups
Functor of points	Concept	Algebraic geometry
Alexander–Spanier cohomology	Definition	Algebraic topology
Doob–Meyer decomposition theorem	Theorem	Probability theory and stochastic processes
Cartan–Eilenberg resolution	Concept	Category theory; homological algebra
Determinantal ideal	Concept	Commutative algebra
Secretary problem	Problem	Probability theory and stochastic processes
Newton polytope	Definition	Algebraic geometry
Universal enveloping algebra	Definition	Nonassociative rings and algebras
Irreducible component	Concept	Algebraic geometry
Quillen adjunction	Concept	Category theory; homological algebra
Banach limit	Concept	Sequences, series, summability
Euler characteristic	Definition	Algebraic topology
Matroid rank	Concept	Combinatorics
Bogomolov–Miyaoka–Yau inequality	Theorem	Algebraic geometry
Dual matroid	Definition	Combinatorics
Lusternik–Schnirelmann theorem	Theorem	Algebraic topology
Lie group method for PDEs	Definition	Partial differential equations
Kantorovich–Rubinstein duality	Theorem	Calculus of variations and optimal control; optimization
Manifold with corners	Concept	Global analysis, analysis on manifolds
Hadamard's example of ill-posedness	Counterexample	Partial differential equations
Semiorder	Definition	Order, lattices, ordered algebraic structures
Bounded poset	Definition	Order, lattices, ordered algebraic structures
Fundamental domain of the modular group	Example	Number theory
Reduced ring	Concept	Commutative algebra
Admissible representation	Concept	Topological groups, Lie groups
Ordinary point and singular point	Definition	Ordinary differential equations
Complemented lattice	Definition	Order, lattices, ordered algebraic structures
Morphism of finite type	Definition	Algebraic geometry
Subalgebra lattice	Concept	General algebraic systems
Band matrix	Definition	Linear and multilinear algebra; matrix theory
Holomorphic map between Riemann surfaces	Concept	Functions of a complex variable
Mathieu groups	Object	Group theory and generalizations
Borel–Moore homology	Concept	Algebraic topology
Compositum of fields	Concept	Field theory and polynomials
Associative quotient of a magma	Concept	Group theory and generalizations
Maximal compact subgroup	Concept	Topological groups, Lie groups
Mean curvature	Definition	Differential geometry
Triangulated category	Concept	Category theory; homological algebra
Topological vector space	Concept	Functional analysis
Rate of convergence	Definition	Sequences, series, summability
Dimension of a polynomial ring	Theorem	Commutative algebra
Isomorphism of topological groups	Concept	Topological groups, Lie groups
Sylvester–Gallai theorem	Theorem	Convex and discrete geometry
Reidemeister's theorem	Theorem	Manifolds and cell complexes
Differential field	Definition	Field theory and polynomials
Primal algebra	Definition	General algebraic systems
Omega-complete partial order	Concept	Order, lattices, ordered algebraic structures
4-manifold	Definition	Manifolds and cell complexes
Nerve theorem	Theorem	Algebraic topology
The alternating group A3 is normal in S3	Example	Group theory and generalizations
Gelfand's spectral radius formula	Theorem	Functional analysis
Doléans-Dade exponential	Definition	Probability theory and stochastic processes
Free distributive lattice	Concept	Order, lattices, ordered algebraic structures
Zimmer program	Definition	Dynamical systems and ergodic theory
Gårding's inequality	Theorem	Partial differential equations
Modular curve	Concept	Number theory
Ambrose–Singer theorem	Theorem	Differential geometry
n-sphere	Object	Manifolds and cell complexes
Right adjoints preserve limits	Theorem	Category theory; homological algebra
Descartes' rule of signs	Theorem	Real functions
Gorenstein ring	Concept	Commutative algebra
Topological modular forms	Definition	Algebraic topology
Turing reduction	Definition	Mathematical logic and foundations
Steklov eigenvalue problem	Problem	Partial differential equations
Fractional calculus	Concept	Real functions
Lattice congruence	Concept	Order, lattices, ordered algebraic structures
E-infinity operad	Concept	Algebraic topology
Generator of a semigroup	Definition	Operator theory
Stable theory	Concept	Mathematical logic and foundations
Inner function	Definition	Functions of a complex variable
Cobordism	Concept	Manifolds and cell complexes
Multivariate division algorithm	Concept	Commutative algebra
Residuated mapping	Definition	Order, lattices, ordered algebraic structures
Bruhat decomposition	Theorem	Group theory and generalizations
Outer function	Definition	Functions of a complex variable
Pontryagin–Thom construction	Definition	Manifolds and cell complexes
Szpilrajn extension theorem	Theorem	Order, lattices, ordered algebraic structures
Pointed space	Concept	Algebraic topology
Degree of a projective variety	Definition	Algebraic geometry
Factorization system	Definition	Category theory; homological algebra
Integral quadratic form	Definition	Number theory
Hölder summation	Definition	Sequences, series, summability
Reaction–diffusion system	Concept	Partial differential equations
HNN extension	Definition	Group theory and generalizations
Error-correcting code	Concept	Information and communication theory, circuits
Abian–Brown theorem	Theorem	Order, lattices, ordered algebraic structures
Bicategory	Concept	Category theory; homological algebra
Tautological one-form	Definition	Differential geometry
Kawamata–Viehweg vanishing theorem	Theorem	Algebraic geometry
Ring of differential operators	Definition	Associative rings and algebras
Langevin equation	Definition	Probability theory and stochastic processes
Lévy–Prokhorov metric	Definition	Probability theory and stochastic processes
Direct limit	Definition	Category theory; homological algebra
Gerstenhaber algebra	Definition	Nonassociative rings and algebras
Faithful module	Concept	Associative rings and algebras
Picard–Vessiot extension	Concept	Field theory and polynomials
Sheaf	Concept	General topology
Saddle-node bifurcation	Definition	Ordinary differential equations
Space form	Definition	Differential geometry
Discriminant of a field extension	Definition	Number theory
Hamburger moment problem	Problem	Integral transforms, operational calculus
Triebel–Lizorkin space	Concept	Functional analysis
Krull's height theorem	Theorem	Commutative algebra
Crown	Example	Order, lattices, ordered algebraic structures
Universal Turing machine	Object	Mathematical logic and foundations
Foster's theorem on primal algebras	Theorem	General algebraic systems
Upper nilradical	Definition	Associative rings and algebras
Systolic geometry	Definition	Differential geometry
Cotangent space of a local ring	Definition	Commutative algebra
F-coalgebra	Definition	Category theory; homological algebra
Poisson kernel	Concept	Potential theory
Ehresmann connection	Concept	Differential geometry
Coupling	Definition	Probability theory and stochastic processes
Magnus expansion	Definition	Ordinary differential equations
Backward differentiation formula	Concept	Numerical analysis
Multiple integral	Definition	Real functions
Tietze transformations	Definition	Group theory and generalizations
Peixoto's theorem	Theorem	Dynamical systems and ergodic theory
Extremal length	Definition	Functions of a complex variable
Kaplansky density theorem	Theorem	Functional analysis
Invertible ideal	Definition	Commutative algebra
Functional completeness	Concept	General algebraic systems
Tarski monster group	Object	Group theory and generalizations
Direct method in the calculus of variations	Concept	Calculus of variations and optimal control; optimization
Hirzebruch signature theorem	Theorem	Manifolds and cell complexes
Hopf invariant	Concept	Algebraic topology
Lagrange polynomial	Definition	Approximations and expansions
Resolvent	Definition	Operator theory
Finite ring	Definition	Associative rings and algebras
Aleph number	Definition	Mathematical logic and foundations
Descriptive set theory	Concept	Mathematical logic and foundations
Exact category	Concept	Category theory; homological algebra
Banach algebra	Definition	Functional analysis
Geometric realization	Concept	Algebraic topology
ℓ-adic cohomology	Definition	Algebraic geometry
Chevalley's theorem on constructible sets	Theorem	Algebraic geometry
Join-prime element	Definition	Order, lattices, ordered algebraic structures
Down-closure	Definition	Order, lattices, ordered algebraic structures
Block design	Definition	Combinatorics
Residually small variety	Concept	General algebraic systems
Proof theory	Definition	Mathematical logic and foundations
Free category	Concept	Category theory; homological algebra
Spectral triple	Definition	Global analysis, analysis on manifolds
Paley–Wiener theorem	Theorem	Functions of a complex variable