Concepts

A mathematical idea. It can have more than one definition.

Ideas 3301–3450 of 3771.

Name	Kind	Subject
Lattice congruence	Concept	Order, lattices, ordered algebraic structures
E-infinity operad	Concept	Algebraic topology
Stable theory	Concept	Mathematical logic and foundations
Cobordism	Concept	Manifolds and cell complexes
Multivariate division algorithm	Concept	Commutative algebra
Pointed space	Concept	Algebraic topology
Reaction–diffusion system	Concept	Partial differential equations
Error-correcting code	Concept	Information and communication theory, circuits
Bicategory	Concept	Category theory; homological algebra
Faithful module	Concept	Associative rings and algebras
Picard–Vessiot extension	Concept	Field theory and polynomials
Sheaf	Concept	General topology
Triebel–Lizorkin space	Concept	Functional analysis
Poisson kernel	Concept	Potential theory
Ehresmann connection	Concept	Differential geometry
Backward differentiation formula	Concept	Numerical analysis
Functional completeness	Concept	General algebraic systems
Direct method in the calculus of variations	Concept	Calculus of variations and optimal control; optimization
Hopf invariant	Concept	Algebraic topology
Descriptive set theory	Concept	Mathematical logic and foundations
Exact category	Concept	Category theory; homological algebra
Geometric realization	Concept	Algebraic topology
Residually small variety	Concept	General algebraic systems
Free category	Concept	Category theory; homological algebra
Group scheme	Concept	Algebraic geometry
Normal form	Concept	Ordinary differential equations
Finitely presented group	Concept	Group theory and generalizations
Ore condition	Concept	Associative rings and algebras
Cluster algebra	Concept	Commutative algebra
Free product	Concept	Group theory and generalizations
Boundary value problem	Concept	Ordinary differential equations
Degree of a continuous map	Concept	Algebraic topology
Primary ideal	Concept	Commutative algebra
Laplacian matrix	Concept	Combinatorics
Computably enumerable set	Concept	Mathematical logic and foundations
Formal group law in topology	Concept	Algebraic topology
Random graph	Concept	Combinatorics
Closure of an operator	Concept	Operator theory
Topological ring	Concept	Associative rings and algebras
Pick matrix	Concept	Functions of a complex variable
Stokes phenomenon	Concept	Ordinary differential equations
Absolutely free algebra	Concept	General algebraic systems
Atom	Concept	Order, lattices, ordered algebraic structures
Locally finite poset	Concept	Order, lattices, ordered algebraic structures
Parallel transport	Concept	Differential geometry
Serial ring	Concept	Associative rings and algebras
Finite type invariant	Concept	Manifolds and cell complexes
Continuous-time Markov chain	Concept	Probability theory and stochastic processes
Beurling–Ahlfors transform	Concept	Harmonic analysis on Euclidean spaces
Summation in topological groups	Concept	Sequences, series, summability
Representation of a quiver	Concept	Associative rings and algebras
Adjoint functors	Concept	Category theory; homological algebra
Temperley–Lieb algebra	Concept	Associative rings and algebras
Disjoint union of posets	Concept	Order, lattices, ordered algebraic structures
Internal set theory	Concept	Mathematical logic and foundations
Completion of a topological group	Concept	Topological groups, Lie groups
G-delta set	Concept	General topology
Heap	Concept	Group theory and generalizations
Full subcategory	Concept	Category theory; homological algebra
Dynkin system	Concept	Measure and integration
p-adic integer	Concept	Field theory and polynomials
Radical extension	Concept	Field theory and polynomials
Residuated mapping	Concept	Order, lattices, ordered algebraic structures
Simplicial complex	Concept	Combinatorics
Martin's axiom	Concept	Mathematical logic and foundations
Serre's twisting sheaf	Concept	Algebraic geometry
Malcev completion	Concept	Topological groups, Lie groups
Operator space	Concept	Operator theory
n-skeleton	Concept	Manifolds and cell complexes
Cole–Hopf transformation	Concept	Partial differential equations
Fractional Brownian motion	Concept	Probability theory and stochastic processes
Word metric	Concept	Group theory and generalizations
Dual operator	Concept	Operator theory
Cyclotomic extension	Concept	Field theory and polynomials
Order polynomial	Concept	Order, lattices, ordered algebraic structures
Geometric lattice	Concept	Order, lattices, ordered algebraic structures
Hausdorff content	Concept	Measure and integration
Self-distributive operation	Concept	Group theory and generalizations
Wasserstein metric	Concept	Calculus of variations and optimal control; optimization
Ore extension	Concept	Associative rings and algebras
Nonexpansive map	Concept	Operator theory
Cyclic extension	Concept	Field theory and polynomials
Signed measure	Concept	Measure and integration
Surface	Concept	Manifolds and cell complexes
Stone-type duality for varieties	Concept	General algebraic systems
List coloring	Concept	Combinatorics
Algebraic set	Concept	Algebraic geometry
f-ring	Concept	Order, lattices, ordered algebraic structures
Fourier transform on locally compact abelian groups	Concept	Abstract harmonic analysis
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
Hom functor	Concept	Category theory; homological algebra
Perfectly normal space	Concept	General topology
Submanifold	Concept	Global analysis, analysis on manifolds
Azumaya algebra	Concept	Associative rings and algebras
Closed operator	Concept	Operator theory
Fuchsian group	Concept	Group theory and generalizations
Algebraic stack	Concept	Algebraic geometry
Heat equation	Concept	Partial differential equations
Infinitesimal generator of a Markov process	Concept	Probability theory and stochastic processes
Algebraic combinatorics	Concept	Combinatorics
Null set	Concept	Measure and integration
Steenrod square	Concept	Algebraic topology
Eigenvalue perturbation	Concept	Linear and multilinear algebra; matrix theory
Uniform integrability	Concept	Measure and integration
Elliptic surface	Concept	Algebraic geometry
Totally unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Interval order	Concept	Order, lattices, ordered algebraic structures
Braided monoidal category	Concept	Category theory; homological algebra
Character sum	Concept	Number theory
Perfect field	Concept	Field theory and polynomials
Gelfand transform	Concept	Functional analysis
Tensor decomposition	Concept	Linear and multilinear algebra; matrix theory
Hardy–Littlewood maximal function	Concept	Harmonic analysis on Euclidean spaces
Interpolation space	Concept	Functional analysis
Exact couple	Concept	Algebraic topology
Haar measure	Concept	Measure and integration
Exponential stability	Concept	Ordinary differential equations
Lax–Friedrichs method	Concept	Numerical analysis
Boolean algebras canonically defined	Concept	Order, lattices, ordered algebraic structures
G-structure	Concept	Differential geometry
Macdonald polynomial	Concept	Combinatorics
Graph minor	Concept	Combinatorics
Medial magma	Concept	Group theory and generalizations
Germ	Concept	General topology
Canonical bundle	Concept	Algebraic geometry
Well-posed problem	Concept	Partial differential equations
Universally closed morphism	Concept	Algebraic geometry
Free spectrum of a variety	Concept	General algebraic systems
Completion of a valued field	Concept	Field theory and polynomials
Mackey topology	Concept	Functional analysis
Doubling measure	Concept	Measure and integration
Wreath product	Concept	Group theory and generalizations
Gelfand pair	Concept	Abstract harmonic analysis
Consistency of summability methods	Concept	Sequences, series, summability
Elementary theory of the category of sets	Concept	Category theory; homological algebra
Coherent ring	Concept	Commutative algebra
Cellular homology	Concept	Algebraic topology
Packing measure	Concept	Measure and integration
Lusternik–Schnirelmann category	Concept	Algebraic topology
Canonical module	Concept	Commutative algebra
Natural duality	Concept	General algebraic systems
Cofibration	Concept	Algebraic topology
Cerf theory	Concept	Manifolds and cell complexes
Sequent calculus	Concept	Mathematical logic and foundations
Dirichlet-to-Neumann operator	Concept	Partial differential equations
Matrix function	Concept	Linear and multilinear algebra; matrix theory
Eichler order	Concept	Number theory