Every idea

Ideas 8701–8850 of 10181.

Name	Kind	Subject
Residuated lattice	Definition	Order, lattices, ordered algebraic structures
Priestley duality	Theorem	Order, lattices, ordered algebraic structures
Weak solution	Definition	Partial differential equations
Reduced homology	Definition	Algebraic topology
Real form of a Lie group	Concept	Topological groups, Lie groups
Clifford theory	Theorem	Group theory and generalizations
Homological algebra	Concept	Category theory; homological algebra
Moore plane	Counterexample	General topology
Variety of algebras	Definition	General algebraic systems
Lp space	Concept	Functional analysis
Quaternionic analysis	Concept	Functions of a complex variable
Artin group	Concept	Group theory and generalizations
Lebesgue differentiation theorem	Theorem	Measure and integration
Injective tensor product	Definition	Functional analysis
Denjoy–Carleman–Ahlfors theorem	Theorem	Functions of a complex variable
Quasiconformal mapping	Concept	Functions of a complex variable
Weyl–von Neumann theorem	Theorem	Operator theory
Binary quadratic form	Concept	Number theory
Weyl tensor	Concept	Differential geometry
Marsden–Weinstein reduction	Concept	Differential geometry
Control system	Definition	Systems theory; control
F-space	Definition	Functional analysis
Supercompact cardinal	Definition	Mathematical logic and foundations
Extremal graph theory	Concept	Combinatorics
Preadditive category	Concept	Category theory; homological algebra
Periodic boundary conditions	Definition	Ordinary differential equations
Elliptic operator	Definition	Operator theory
Accessible category	Definition	Category theory; homological algebra
Embedding of structures	Concept	General algebraic systems
Universal enveloping algebra	Concept	Nonassociative rings and algebras
Homogeneous polynomial	Definition	Commutative algebra
Maximum and minimum	Definition	Real functions
Tensor product of fields	Definition	Field theory and polynomials
Identity component	Concept	Topological groups, Lie groups
Model category	Concept	Category theory; homological algebra
Shafarevich's theorem on solvable Galois groups	Theorem	Field theory and polynomials
Weyl's unitary trick	Definition	Topological groups, Lie groups
Adele ring	Concept	Number theory
Loop-erased random walk	Definition	Probability theory and stochastic processes
Puiseux series	Concept	Commutative algebra
Krein space	Definition	Functional analysis
Block system	Concept	Group theory and generalizations
Linking number	Concept	Manifolds and cell complexes
Hilbertian field	Concept	Field theory and polynomials
Ore localization	Concept	Associative rings and algebras
Excision theorem	Theorem	Algebraic topology
Duffing equation	Example	Ordinary differential equations
Cayley–Hamilton theorem for modules	Proposition	Commutative algebra
Green's function	Concept	Ordinary differential equations
Singular homology	Definition	Algebraic topology
Local class field theory	Concept	Number theory
Order of an entire function	Concept	Functions of a complex variable
Siegel zero	Definition	Number theory
Gumm terms	Concept	General algebraic systems
Chain homotopy	Definition	Category theory; homological algebra
Elliptic curve	Definition	Algebraic geometry
Homology sphere	Definition	Manifolds and cell complexes
Vlasov equation	Concept	Partial differential equations
Hamilton–Jacobi–Bellman equation	Concept	Calculus of variations and optimal control; optimization
Krull's principal ideal theorem	Theorem	Commutative algebra
Weak solution	Concept	Partial differential equations
Homotopy type	Concept	Algebraic topology
Monodromy	Definition	Ordinary differential equations
Tracy–Widom distribution	Definition	Probability theory and stochastic processes
Hypoelliptic operator	Definition	Partial differential equations
Lefschetz principle	Theorem	Mathematical logic and foundations
Golay code	Object	Information and communication theory, circuits
Hom functor	Definition	Category theory; homological algebra
Group algebra	Definition	Group theory and generalizations
Null-homotopic map	Concept	Algebraic topology
Tensor product of modules	Definition	Commutative algebra
Comparability graph	Definition	Combinatorics
Grothendieck universe	Concept	Mathematical logic and foundations
Tensor rank	Definition	Linear and multilinear algebra; matrix theory
Left-invariant vector field	Concept	Topological groups, Lie groups
Laplace's equation	Definition	Partial differential equations
Whitney immersion theorem	Theorem	Manifolds and cell complexes
Wang's finiteness theorem	Theorem	Topological groups, Lie groups
Delay differential equation	Definition	Ordinary differential equations
Hasse principle	Definition	Number theory
Topological group structure of a vector space	Concept	Functional analysis
Auslander–Buchsbaum formula	Theorem	Commutative algebra
Carleson measure	Concept	Functions of a complex variable
Hadamard product	Concept	Linear and multilinear algebra; matrix theory
Gaussian curvature	Concept	Differential geometry
Abelian extension	Definition	Field theory and polynomials
Ultrafilter	Definition	General topology
Weak homotopy equivalence	Definition	Algebraic topology
String diagram	Definition	Category theory; homological algebra
Braid group	Definition	Group theory and generalizations
Polynomial interpolation	Concept	Approximations and expansions
Bäcklund transform	Concept	Dynamical systems and ergodic theory
Beth number	Concept	Mathematical logic and foundations
Complete set of orthogonal idempotents	Concept	Associative rings and algebras
Inner regular measure	Definition	Measure and integration
Hausdorff dimension	Concept	Measure and integration
Monomorphism	Definition	Category theory; homological algebra
Elliptic boundary value problem	Definition	Partial differential equations
Betti number	Concept	Algebraic topology
Boolean prime ideal theorem	Theorem	Mathematical logic and foundations
Krull dimension of a poset	Definition	Order, lattices, ordered algebraic structures
Inductive dimension	Definition	General topology
Calabi–Yau manifold	Concept	Algebraic geometry
Moise's theorem	Theorem	Manifolds and cell complexes
Surface of general type	Concept	Algebraic geometry
Cusp form	Definition	Number theory
Non-atomic measure	Concept	Measure and integration
Isomonodromic deformation	Definition	Ordinary differential equations
Large sieve	Definition	Number theory
Valuation	Definition	Field theory and polynomials
Lindelöf space	Concept	General topology
Strict partial order	Definition	Order, lattices, ordered algebraic structures
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