Concepts

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

Ideas 2851–3000 of 3771.

Name	Kind	Subject
Pseudoholomorphic curve	Concept	Several complex variables and analytic spaces
Proof theory	Concept	Mathematical logic and foundations
Measurable space	Concept	Measure and integration
Order polytope	Concept	Order, lattices, ordered algebraic structures
Space of functions vanishing at infinity	Concept	Functional analysis
Quotient algebra	Concept	General algebraic systems
Liouvillian function	Concept	Field theory and polynomials
Geometric morphism	Concept	Category theory; homological algebra
Adjunction space	Concept	General topology
Basic open set	Concept	Algebraic geometry
Fractional Sobolev space	Concept	Functional analysis
Perfect map	Concept	General topology
Linearly disjoint extensions	Concept	Field theory and polynomials
Linear and stable summation methods	Concept	Sequences, series, summability
Cap product	Concept	Algebraic topology
Double complex	Concept	Category theory; homological algebra
Hopf module	Concept	Associative rings and algebras
Cesàro summation	Concept	Sequences, series, summability
Finite morphism	Concept	Algebraic geometry
Heteroclinic orbit	Concept	Ordinary differential equations
Term operation	Concept	General algebraic systems
Positive element	Concept	Functional analysis
Quaternion-Kähler manifold	Concept	Differential geometry
Tomita–Takesaki theory	Concept	Functional analysis
Sweedler notation	Concept	Associative rings and algebras
Substitution	Concept	Mathematical logic and foundations
Floer homology	Concept	Differential geometry
Quasitriangular Hopf algebra	Concept	Associative rings and algebras
Noetherian scheme	Concept	Algebraic geometry
Hyperfunction	Concept	Functional analysis
Burgers' equation	Concept	Partial differential equations
Categorical logic	Concept	Mathematical logic and foundations
Atomless Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Krein space	Concept	Functional analysis
Axiom of regularity	Concept	Mathematical logic and foundations
Stopped process	Concept	Probability theory and stochastic processes
Heyting algebra	Concept	Order, lattices, ordered algebraic structures
Kripke semantics	Concept	Mathematical logic and foundations
Well-quasi-ordering	Concept	Order, lattices, ordered algebraic structures
Pfaffian	Concept	Linear and multilinear algebra; matrix theory
Partition of unity	Concept	Global analysis, analysis on manifolds
Flag variety	Concept	Algebraic geometry
Lyapunov exponent	Concept	Ordinary differential equations
Connection on a principal bundle	Concept	Differential geometry
Residue field	Concept	Commutative algebra
Genus	Concept	Manifolds and cell complexes
Continuum	Concept	General topology
Reduced homology	Concept	Algebraic topology
Boolean model	Concept	Probability theory and stochastic processes
Moduli of algebraic curves	Concept	Algebraic geometry
Subobject classifier	Concept	Category theory; homological algebra
Absorbing set	Concept	Functional analysis
Lie subgroup	Concept	Topological groups, Lie groups
Cyclotomic field	Concept	Number theory
Reflexive space	Concept	Functional analysis
Inner function	Concept	Functions of a complex variable
Resultant	Concept	Commutative algebra
Degree of a central simple algebra	Concept	Associative rings and algebras
Group of Lie type	Concept	Group theory and generalizations
Derived functor	Concept	Category theory; homological algebra
Conway polynomial	Concept	Number theory
Hyperarithmetical theory	Concept	Mathematical logic and foundations
Lattice in a locally compact group	Concept	Topological groups, Lie groups
Torus knot	Concept	Manifolds and cell complexes
Kuratowski closure axioms	Concept	General topology
Hilbert transform	Concept	Integral transforms, operational calculus
Supermartingale	Concept	Probability theory and stochastic processes
Geodesic	Concept	Differential geometry
Successor order	Concept	Order, lattices, ordered algebraic structures
Hermitian symmetric space	Concept	Several complex variables and analytic spaces
Fibred category	Concept	Category theory; homological algebra
Shallow water equations	Concept	Fluid mechanics
Specht module	Concept	Group theory and generalizations
Lawvere theory	Concept	Category theory; homological algebra
Splitting field of a central simple algebra	Concept	Associative rings and algebras
Finitely generated variety	Concept	General algebraic systems
Associated bundle	Concept	Algebraic topology
Inaccessible cardinal	Concept	Mathematical logic and foundations
Montel space	Concept	Functional analysis
Osculating circle	Concept	Differential geometry
Semisimple ring	Concept	Associative rings and algebras
Complex measure	Concept	Measure and integration
Site	Concept	Category theory; homological algebra
de Branges space	Concept	Functional analysis
Relatively free algebra	Concept	General algebraic systems
Nil ideal	Concept	Associative rings and algebras
Coupling from the past	Concept	Numerical analysis
Abelian differential	Concept	Functions of a complex variable
Gaussian measure	Concept	Measure and integration
Absolutely continuous measure	Concept	Measure and integration
Hölder space	Concept	Functional analysis
Measure space	Concept	Measure and integration
Character table	Concept	Group theory and generalizations
Higher-order logic	Concept	Mathematical logic and foundations
Maurer–Cartan form	Concept	Topological groups, Lie groups
G2 manifold	Concept	Differential geometry
Linearly ordered group	Concept	Order, lattices, ordered algebraic structures
Strict total order	Concept	Order, lattices, ordered algebraic structures
Elementary equivalence	Concept	Mathematical logic and foundations
Strict hyperbolicity	Concept	Partial differential equations
Vector bundle	Concept	Algebraic geometry
Hankel operator	Concept	Operator theory
Tensor algebra	Concept	Linear and multilinear algebra; matrix theory
Kervaire invariant	Concept	Algebraic topology
Singular function	Concept	Real functions
Complete atomic Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Turing degree	Concept	Mathematical logic and foundations
Queueing theory	Concept	Probability theory and stochastic processes
Slice knot	Concept	Manifolds and cell complexes
Local solvability	Concept	Partial differential equations
Weak topology	Concept	Functional analysis
Adjoint representation of a Lie group	Concept	Topological groups, Lie groups
Group law on an elliptic curve	Concept	Algebraic geometry
Pitchfork bifurcation	Concept	Ordinary differential equations
Uniform structure of a topological group	Concept	Topological groups, Lie groups
Octahedral axiom	Concept	Category theory; homological algebra
Local homomorphism	Concept	Commutative algebra
Kadomtsev–Petviashvili equation	Concept	Partial differential equations
Homotopy group	Concept	Algebraic topology
S-finite measure	Concept	Measure and integration
Turing reduction	Concept	Mathematical logic and foundations
Mean curvature	Concept	Differential geometry
Symmetric space	Concept	Differential geometry
Chern class	Concept	Algebraic geometry
Symmetric function	Concept	Combinatorics
Combinatorial design	Concept	Combinatorics
Minkowski functional	Concept	Functional analysis
Double series	Concept	Sequences, series, summability
Motzkin number	Concept	Combinatorics
Serre fibration	Concept	Algebraic topology
Symmetric algebra	Concept	Linear and multilinear algebra; matrix theory
Recurrence and transience of states	Concept	Probability theory and stochastic processes
Comma category	Concept	Category theory; homological algebra
Skew group ring	Concept	Associative rings and algebras
Inverse problem	Concept	Partial differential equations
Convergence of an infinite product	Concept	Sequences, series, summability
Shelf	Concept	Group theory and generalizations
Torsion-free group	Concept	Group theory and generalizations
Axiom of determinacy	Concept	Mathematical logic and foundations
Content	Concept	Measure and integration
Algebra of sets	Concept	Measure and integration
Antipode	Concept	Associative rings and algebras
Absolute Galois group	Concept	Field theory and polynomials
Hopfian group	Concept	Group theory and generalizations
Regular conditional probability	Concept	Probability theory and stochastic processes
Absorbing element	Concept	General algebraic systems
Lie derivative	Concept	Differential geometry
Discrete spectrum	Concept	Operator theory
Hausdorff summation	Concept	Sequences, series, summability
Identity	Concept	General algebraic systems