Every idea

Ideas 10051–10181 of 10181.

Name	Kind	Subject
Colombeau algebra	Definition	Functional analysis
Barrelled space	Concept	Functional analysis
Anti-equivalence of affine schemes and rings	Theorem	Algebraic geometry
Fundamental class	Concept	Manifolds and cell complexes
Join	Concept	General topology
Support of a measure	Definition	Measure and integration
Many-sorted algebra	Definition	General algebraic systems
Irreducible matrix	Definition	Linear and multilinear algebra; matrix theory
Dirac operator	Definition	Global analysis, analysis on manifolds
Δ-complex	Concept	Algebraic topology
Fundamental groupoid	Definition	Algebraic topology
Kirby calculus	Definition	Manifolds and cell complexes
Lyapunov equation	Definition	Linear and multilinear algebra; matrix theory
Functor category	Definition	Category theory; homological algebra
Black–Scholes equation	Concept	Partial differential equations
Normed field	Concept	Field theory and polynomials
Quasi-isometry	Definition	Group theory and generalizations
Priestley space	Concept	Order, lattices, ordered algebraic structures
Faber polynomials	Definition	Functions of a complex variable
Orlicz space	Definition	Functional analysis
Parallelizable manifold	Definition	Manifolds and cell complexes
Markov chain Monte Carlo	Concept	Numerical analysis
Deligne–Lusztig theory	Concept	Group theory and generalizations
Paracompact space	Definition	General topology
Oscillation theory	Concept	Ordinary differential equations
Graceful tree conjecture	Conjecture	Combinatorics
Green's function	Definition	Ordinary differential equations
Smooth morphism of rings	Definition	Commutative algebra
Relative homotopy group	Concept	Algebraic topology
Join-irreducible element	Concept	Order, lattices, ordered algebraic structures
Scalar curvature	Concept	Differential geometry
C0-semigroup	Definition	Operator theory
Cone theorem	Theorem	Algebraic geometry
Adams' theorem on Hopf invariant one	Theorem	Algebraic topology
Generalized Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Enflo's counterexample to the approximation problem	Counterexample	Functional analysis
Sheaf of differentials	Definition	Algebraic geometry
Frenet–Serret formulas	Theorem	Differential geometry
Functional differential equation	Concept	Ordinary differential equations
Chevalley group	Definition	Group theory and generalizations
Banach–Zarecki theorem	Theorem	Real functions
Griess algebra	Object	Group theory and generalizations
Bieberbach conjecture	Theorem	Functions of a complex variable
Nest algebra	Concept	Operator theory
Finite-dimensional Hausdorff vector topologies are Euclidean	Theorem	Functional analysis
Radical of an ideal	Definition	Commutative algebra
Volume conjecture	Conjecture	Manifolds and cell complexes
Uniform algebra	Concept	Functional analysis
Control system	Concept	Systems theory; control
Irreducible component	Definition	Algebraic geometry
Conjugate points	Concept	Differential geometry
Enumerative geometry	Concept	Algebraic geometry
Jacobian variety	Concept	Algebraic geometry
Progenerator	Concept	Associative rings and algebras
Hardy–Littlewood circle method	Concept	Number theory
Donaldson theory	Concept	Manifolds and cell complexes
Legendre transformation	Concept	Real functions
Locally compact abelian group	Concept	Topological groups, Lie groups
Whitney–Graustein theorem	Theorem	Manifolds and cell complexes
Drazin inverse	Definition	Linear and multilinear algebra; matrix theory
Łoś–Vaught test	Theorem	Mathematical logic and foundations
Scott topology	Concept	Order, lattices, ordered algebraic structures
Feller process	Definition	Probability theory and stochastic processes
Semiperfect ring	Concept	Associative rings and algebras
Dialectica interpretation	Definition	Mathematical logic and foundations
Bochner's theorem	Theorem	Abstract harmonic analysis
Ricci flow	Definition	Differential geometry
Horn clause	Definition	Mathematical logic and foundations
Conway knot	Example	Manifolds and cell complexes
Hodge structure	Concept	Algebraic geometry
Universal class	Concept	Mathematical logic and foundations
Maximal subfield	Concept	Associative rings and algebras
Lie derivative	Definition	Differential geometry
Lefschetz number	Concept	Algebraic topology
L-infinity space	Concept	Functional analysis
Complemented lattice	Concept	Order, lattices, ordered algebraic structures
Absolute continuity	Concept	Real functions
Projective space	Concept	Algebraic geometry
Pushforward measure	Definition	Measure and integration
Input-to-state stability	Definition	Systems theory; control
Definable set	Definition	Mathematical logic and foundations
Hindman's theorem	Theorem	Combinatorics
Artinian ring	Definition	Commutative algebra
Partially well-ordered set	Definition	Order, lattices, ordered algebraic structures
Stone space	Concept	Order, lattices, ordered algebraic structures
Grothendieck spectral sequence	Theorem	Category theory; homological algebra
Open immersion	Definition	Algebraic geometry
Montel's theorem	Theorem	Functions of a complex variable
Topology generated by a family of seminorms	Concept	Functional analysis
Numerical linear algebra	Definition	Numerical analysis
Quiver	Definition	Associative rings and algebras
Essential supremum	Definition	Measure and integration
Kodaira dimension	Concept	Algebraic geometry
Langevin equation	Concept	Probability theory and stochastic processes
Injective resolution	Concept	Category theory; homological algebra
Sigma-compact space	Concept	General topology
Statistical convergence	Concept	Sequences, series, summability
Birch and Swinnerton-Dyer conjecture	Conjecture	Number theory
Local martingale	Definition	Probability theory and stochastic processes
Mason–Stothers theorem	Theorem	Number theory
Weak Nullstellensatz	Theorem	Commutative algebra
Newton–Puiseux theorem	Theorem	Commutative algebra
Quaternion algebra	Concept	Associative rings and algebras
A priori estimate	Definition	Partial differential equations
Proof of the cancellation laws	Proof	Group theory and generalizations
Completion of a measure	Definition	Measure and integration
Hellinger–Toeplitz theorem	Theorem	Operator theory
Disjoint union topology	Concept	General topology
Absolute continuity of the Lebesgue integral	Proposition	Measure and integration
Reduced scheme	Concept	Algebraic geometry
Divisible group	Concept	Group theory and generalizations
Transitivity of integrality	Proposition	Commutative algebra
Bäcklund transform	Definition	Dynamical systems and ergodic theory
Euler–Lagrange equation	Definition	Calculus of variations and optimal control; optimization
Category of small categories	Example	Category theory; homological algebra
Fundamental solution	Definition	Partial differential equations
Whitehead tower	Definition	Algebraic topology
Levitzki radical	Definition	Associative rings and algebras
Discrete valuation	Definition	Field theory and polynomials
Invariant mean	Concept	Abstract harmonic analysis
Height of a poset	Definition	Order, lattices, ordered algebraic structures
Pariah groups	Concept	Group theory and generalizations
Lane–Emden equation	Definition	Partial differential equations
Free magma	Example	General algebraic systems
Orderable group	Definition	Group theory and generalizations
Inverse mean curvature flow	Definition	Differential geometry
Teichmüller space	Concept	Functions of a complex variable
Continuous multiplication	Concept	Topological groups, Lie groups
Étale cohomology	Definition	Algebraic geometry
Obstruction theory	Concept	Algebraic topology
Heisenberg group	Example	Topological groups, Lie groups