Every idea

Ideas 8251–8400 of 10181.

Name	Kind	Subject
Spectral mapping theorem for polynomials	Theorem	Functional analysis
Completeness in order theory	Concept	Order, lattices, ordered algebraic structures
Polynomial greatest common divisor	Concept	Commutative algebra
Modular lattice	Definition	Order, lattices, ordered algebraic structures
Surgery exact sequence	Theorem	Manifolds and cell complexes
Suspension	Concept	Algebraic topology
Polynomial identity ring	Definition	Associative rings and algebras
Lévy–Khintchine representation	Theorem	Probability theory and stochastic processes
Sentence	Definition	Mathematical logic and foundations
Snake lemma	Lemma	Category theory; homological algebra
Minimal model program	Concept	Algebraic geometry
Carathéodory's extension theorem	Theorem	Measure and integration
Mutually singular measures	Definition	Measure and integration
Banach–Stone theorem	Theorem	Functional analysis
Gödel's consistency of CH and AC	Theorem	Mathematical logic and foundations
Near-ring	Definition	Associative rings and algebras
Strong amalgamation property	Concept	General algebraic systems
Kempner series	Example	Sequences, series, summability
Bialgebra	Concept	Associative rings and algebras
Quantum invariant of 3-manifolds	Definition	Manifolds and cell complexes
Order (ring theory)	Definition	Associative rings and algebras
Perfectoid space	Concept	Algebraic geometry
Alexandrov space	Definition	Differential geometry
Tor functor	Definition	Commutative algebra
Riesz mean	Definition	Sequences, series, summability
Congruence-modular variety	Concept	General algebraic systems
Murray–von Neumann classification of factors	Theorem	Functional analysis
Permuting congruences	Definition	General algebraic systems
Hahn–Banach theorem	Theorem	Functional analysis
Simple function	Definition	Measure and integration
Free object	Concept	Category theory; homological algebra
Finitely generated variety	Definition	General algebraic systems
Double complex	Definition	Category theory; homological algebra
HOMFLY polynomial	Concept	Manifolds and cell complexes
Boundary layer	Definition	Ordinary differential equations
Hilbertian field	Definition	Field theory and polynomials
Banach–Mazur theorem	Theorem	Functional analysis
Lindenbaum–Tarski algebra	Concept	Mathematical logic and foundations
Separably generated extension	Definition	Field theory and polynomials
Hopf–Rinow theorem	Theorem	Differential geometry
Kuratowski's closure-complement problem	Problem	General topology
Injective hull	Concept	Commutative algebra
Generic smoothness	Theorem	Algebraic geometry
Lidskii's theorem	Theorem	Operator theory
Preservation of limits	Definition	Category theory; homological algebra
Standard probability space	Concept	Measure and integration
Frobenius theorem on real division algebras	Theorem	Associative rings and algebras
Ring of sets	Definition	Measure and integration
Structure theorem for compactly generated LCA groups	Theorem	Topological groups, Lie groups
Taylor term	Concept	General algebraic systems
Reductive Lie group	Definition	Topological groups, Lie groups
Operator theory	Definition	Operator theory
Ahlfors theory	Definition	Functions of a complex variable
Rademacher's theorem	Theorem	Real functions
Double-negation translation	Definition	Mathematical logic and foundations
Blakers–Massey theorem	Theorem	Algebraic topology
Goldie ring	Concept	Associative rings and algebras
Graph minor	Definition	Combinatorics
Endomorphism monoid	Concept	General algebraic systems
Bohr–Mollerup theorem	Theorem	Special functions
Radical of a module	Concept	Associative rings and algebras
Path space fibration	Definition	Algebraic topology
Algebra over a monad	Concept	Category theory; homological algebra
G2 manifold	Definition	Differential geometry
Convergence along an ultrafilter	Concept	General topology
Linear algebraic group	Definition	Group theory and generalizations
Monoidal functor	Definition	Category theory; homological algebra
Generic filter	Definition	Mathematical logic and foundations
Tannaka–Krein duality	Theorem	Topological groups, Lie groups
Singular point of an algebraic variety	Definition	Algebraic geometry
Analytic capacity	Concept	Functions of a complex variable
Lagrange interpolation	Definition	Approximations and expansions
Picard group of a ring	Definition	Commutative algebra
Levitzki's theorem	Theorem	Associative rings and algebras
Schnirelmann density	Concept	Number theory
Borsuk–Ulam theorem	Theorem	Algebraic topology
Beta function	Concept	Special functions
Steiner system	Definition	Combinatorics
Hurwitz quaternions	Object	Number theory
Overdetermined system	Concept	Linear and multilinear algebra; matrix theory
Spectrum of a ring	Definition	Algebraic geometry
Algebraic structure	Concept	General algebraic systems
Left-orderable group	Definition	Group theory and generalizations
Gysin sequence	Theorem	Algebraic topology
First main theorem of Nevanlinna theory	Theorem	Functions of a complex variable
Bounded mean oscillation	Concept	Functions of a complex variable
Ordinary point and singular point	Concept	Ordinary differential equations
Coarea formula	Theorem	Measure and integration
Whitehead product	Concept	Algebraic topology
Fully invariant congruence	Concept	General algebraic systems
Cardinal function	Definition	General topology
Model category	Definition	Category theory; homological algebra
Bidual and canonical embedding	Concept	Functional analysis
Prime ideal of a lattice	Concept	Order, lattices, ordered algebraic structures
Finite type algebra	Definition	Commutative algebra
Weyl integration formula	Theorem	Topological groups, Lie groups
Graphon	Concept	Combinatorics
Laurent polynomial ring	Concept	Associative rings and algebras
Identity component	Definition	Topological groups, Lie groups
Moore–Osgood theorem	Theorem	Sequences, series, summability
Satisfiability	Concept	Mathematical logic and foundations
Pseudofunctor	Definition	Category theory; homological algebra
Congruence generated by a relation	Concept	General algebraic systems
Symplectomorphism	Definition	Differential geometry
Deformation of algebras	Concept	Associative rings and algebras
Total curvature	Concept	Differential geometry
Interval arithmetic	Concept	Numerical analysis
Hilbert's nineteenth problem	Problem	Partial differential equations
Cartan connection	Concept	Differential geometry
Space-filling curve	Example	General topology
Abstract data type as an algebra	Definition	Computer science
Gentzen's consistency proof	Theorem	Mathematical logic and foundations
Method of matched asymptotic expansions	Concept	Ordinary differential equations
Vojta's conjecture	Conjecture	Number theory
Fano plane	Object	Geometry
Lie group method for PDEs	Concept	Partial differential equations
Schreier refinement theorem	Theorem	Group theory and generalizations
Discrete subgroup	Definition	Topological groups, Lie groups
Nilradical	Concept	Commutative algebra
Alexander horned sphere	Counterexample	Manifolds and cell complexes
Counting measure	Example	Measure and integration
Topological manifold	Concept	Manifolds and cell complexes
Dunford–Pettis property	Concept	Functional analysis
Absolutely monotonic function	Concept	Real functions
Triangulation	Definition	Manifolds and cell complexes
Condition number	Definition	Linear and multilinear algebra; matrix theory
Gaussian process	Definition	Probability theory and stochastic processes
Horn clause	Concept	Mathematical logic and foundations
Tamari lattice	Example	Order, lattices, ordered algebraic structures
Lyapunov exponent	Definition	Ordinary differential equations
Fractional differential equation	Definition	Ordinary differential equations
Logical connective	Concept	Mathematical logic and foundations
Haken manifold	Definition	Manifolds and cell complexes
Packing measure	Definition	Measure and integration
Singular values of a compact operator	Concept	Operator theory
The symmetric group S3 is not abelian	Example	Group theory and generalizations
Join	Definition	General topology
Valuation ring	Concept	Commutative algebra
Shimura variety	Concept	Algebraic geometry
Seifert surface	Definition	Manifolds and cell complexes
Categorical theory	Definition	Mathematical logic and foundations
Fixed-point property of posets	Definition	Order, lattices, ordered algebraic structures
Basis of a matroid	Concept	Combinatorics
Lattice of equational theories	Definition	General algebraic systems
Pontryagin duality theorem	Theorem	Abstract harmonic analysis
Idempotence	Definition	General algebraic systems
Cheeger–Gromoll splitting theorem	Theorem	Differential geometry
Lebesgue–Stieltjes measure	Concept	Measure and integration
Mahler measure	Concept	Number theory
MV-algebra	Definition	Order, lattices, ordered algebraic structures