Every idea

Ideas 6451–6600 of 7806.

Name	Kind	Subject
Slice knot	Definition	Manifolds and cell complexes
Computable set	Concept	Mathematical logic and foundations
Reproducing kernel Hilbert space	Definition	Functional analysis
Hankel matrix	Concept	Linear and multilinear algebra; matrix theory
Symplectic vector space	Concept	Linear and multilinear algebra; matrix theory
Classical group	Definition	Group theory and generalizations
Kullback–Leibler divergence	Concept	Information and communication theory, circuits
Natural boundary	Concept	Functions of a complex variable
Infinitary logic	Concept	Mathematical logic and foundations
Binary quadratic form	Definition	Number theory
Measure	Concept	Measure and integration
Separation of variables	Definition	Ordinary differential equations
Seiberg–Witten invariants	Concept	Manifolds and cell complexes
Alexander's theorem on closed braids	Theorem	Manifolds and cell complexes
Vector measure	Concept	Measure and integration
Noncommutative geometry	Concept	Global analysis, analysis on manifolds
Basic open set	Definition	Algebraic geometry
Janko groups	Object	Group theory and generalizations
Von Neumann algebra	Concept	Functional analysis
Beurling–Ahlfors transform	Definition	Harmonic analysis on Euclidean spaces
Riemannian distance	Definition	Differential geometry
Fractional Brownian motion	Definition	Probability theory and stochastic processes
Killing vector field	Definition	Differential geometry
Premeasure	Concept	Measure and integration
Lindelöf hypothesis	Conjecture	Number theory
Doubling on the integers is not an isomorphism	Example	Group theory and generalizations
Faber polynomials	Concept	Functions of a complex variable
Matroid	Definition	Combinatorics
Small cancellation theory	Definition	Group theory and generalizations
Unknotting number	Concept	Manifolds and cell complexes
Signature	Definition	Mathematical logic and foundations
Grothendieck universe	Definition	Mathematical logic and foundations
Levy–Desplanques theorem	Theorem	Linear and multilinear algebra; matrix theory
Perfect closure	Concept	Field theory and polynomials
Cyclic extension	Definition	Field theory and polynomials
Atlas	Definition	Manifolds and cell complexes
Erdős–Hajnal conjecture	Conjecture	Combinatorics
Countable additivity	Definition	Measure and integration
Matroid	Concept	Combinatorics
Happy ending problem	Problem	Convex and discrete geometry
Uniformly convex space	Definition	Functional analysis
Normal function	Definition	Mathematical logic and foundations
Morley rank	Definition	Mathematical logic and foundations
Normal basis theorem	Theorem	Field theory and polynomials
Universally catenary ring	Definition	Commutative algebra
Semiring of sets	Concept	Measure and integration
Positive mass theorem	Theorem	Differential geometry
Spinor bundle	Concept	Differential geometry
Hilbert space	Definition	Functional analysis
Sporadic group	Concept	Group theory and generalizations
Noncommutative torus	Example	Functional analysis
One-relator group	Definition	Group theory and generalizations
Systolic geometry	Concept	Differential geometry
Sequent calculus	Definition	Mathematical logic and foundations
Lagrangian submanifold	Definition	Differential geometry
Semiring	Definition	Associative rings and algebras
Schwartz impossibility theorem	Theorem	Functional analysis
Pointed space	Definition	Algebraic topology
Complemented subspace	Concept	Functional analysis
Spinor bundle	Definition	Differential geometry
Tridiagonal matrix	Definition	Linear and multilinear algebra; matrix theory
Intuitionistic logic	Concept	Mathematical logic and foundations
Hausdorff measure	Concept	Measure and integration
Khinchin integral	Concept	Real functions
Dual of Lp	Theorem	Functional analysis
Axiom of constructibility	Definition	Mathematical logic and foundations
Foundations of mathematics	Definition	Mathematical logic and foundations
Semi-local ring	Definition	Commutative algebra
Asymptotic analysis	Concept	Approximations and expansions
Duhamel's principle	Theorem	Ordinary differential equations
Legendrian submanifold	Concept	Differential geometry
Fatou's theorem	Theorem	Functions of a complex variable
Topology of uniform convergence	Definition	General topology
Incomparability theorem	Theorem	Commutative algebra
Vandermonde matrix	Concept	Linear and multilinear algebra; matrix theory
Dunford–Pettis theorem	Theorem	Functional analysis
Dehn surgery	Definition	Manifolds and cell complexes
Type theory	Concept	Mathematical logic and foundations
Littlewood–Richardson rule	Theorem	Combinatorics
Dehn function	Concept	Group theory and generalizations
Fredholm operator	Definition	Operator theory
Riemannian Penrose inequality	Theorem	Differential geometry
Hahn–Mazurkiewicz theorem	Theorem	General topology
Riemannian metric	Concept	Differential geometry
Property P conjecture	Theorem	Manifolds and cell complexes
Young tableau	Concept	Combinatorics
Compactification	Concept	General topology
Large deviations theory	Concept	Probability theory and stochastic processes
Spectral mapping theorem for polynomials	Theorem	Functional analysis
Polynomial greatest common divisor	Concept	Commutative algebra
Surgery exact sequence	Theorem	Manifolds and cell complexes
Suspension	Concept	Algebraic topology
Lévy–Khintchine representation	Theorem	Probability theory and stochastic processes
Sentence	Definition	Mathematical logic and foundations
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
Kempner series	Example	Sequences, series, summability
Quantum invariant of 3-manifolds	Definition	Manifolds and cell complexes
Alexandrov space	Definition	Differential geometry
Tor functor	Definition	Commutative algebra
Riesz mean	Definition	Sequences, series, summability
Murray–von Neumann classification of factors	Theorem	Functional analysis
Hahn–Banach theorem	Theorem	Functional analysis
Simple function	Definition	Measure and integration
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
Lidskii's theorem	Theorem	Operator theory
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
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
Graph minor	Definition	Combinatorics
Bohr–Mollerup theorem	Theorem	Special functions
Path space fibration	Definition	Algebraic topology
G2 manifold	Definition	Differential geometry
Convergence along an ultrafilter	Concept	General topology
Generic filter	Definition	Mathematical logic and foundations
Analytic capacity	Concept	Functions of a complex variable
Lagrange interpolation	Definition	Approximations and expansions
Picard group of a ring	Definition	Commutative algebra
Schnirelmann density	Concept	Number theory
Borsuk–Ulam theorem	Theorem	Algebraic topology
Beta function	Concept	Special functions
Steiner system	Definition	Combinatorics
Overdetermined system	Concept	Linear and multilinear algebra; matrix theory
Spectrum of a ring	Definition	Algebraic geometry
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
Cardinal function	Definition	General topology
Bidual and canonical embedding	Concept	Functional analysis
Finite type algebra	Definition	Commutative algebra
Graphon	Concept	Combinatorics
Moore–Osgood theorem	Theorem	Sequences, series, summability