Every idea

Ideas 5251–5400 of 7806.

Name	Kind	Subject
Hall subgroup	Definition	Group theory and generalizations
Dowker space	Definition	General topology
Chern–Simons theory	Definition	Manifolds and cell complexes
Long exact sequence of homotopy groups	Theorem	Algebraic topology
Discriminant of a number field	Concept	Number theory
Monstrous moonshine	Theorem	Number theory
Invertible ideal	Concept	Commutative algebra
s-cobordism theorem	Theorem	Manifolds and cell complexes
Involute	Concept	Differential geometry
Kloosterman sum	Concept	Number theory
Proximal operator	Concept	Operations research, mathematical programming
Self-avoiding walk	Concept	Statistical mechanics, structure of matter
Craig interpolation theorem	Theorem	Mathematical logic and foundations
Line with two origins	Counterexample	General topology
Completeness of the real numbers	Theorem	Real functions
Hyperbolic group	Definition	Group theory and generalizations
Ramanujan summation	Concept	Sequences, series, summability
Transcendence basis	Concept	Field theory and polynomials
Kirby–Siebenmann class	Concept	Manifolds and cell complexes
Differential equations in Banach spaces	Definition	Ordinary differential equations
Wente torus	Counterexample	Differential geometry
Menger's theorem	Theorem	Combinatorics
Realizability	Definition	Mathematical logic and foundations
Infinite product measure	Definition	Measure and integration
Total variation of a measure	Definition	Measure and integration
Littlewood's three principles	Definition	Measure and integration
Glivenko–Cantelli theorem	Theorem	Statistics
Roth's theorem on arithmetic progressions	Theorem	Number theory
Projective tensor product	Definition	Functional analysis
Ramification	Definition	Number theory
Characterizations of discrete valuation rings	Proposition	Commutative algebra
Local time	Concept	Probability theory and stochastic processes
Monomial order	Concept	Commutative algebra
Birth–death process	Concept	Probability theory and stochastic processes
Holomorphy on Banach spaces	Concept	Functional analysis
Injectivity radius	Definition	Differential geometry
Limit point compact space	Concept	General topology
Homotopy principle	Definition	Global analysis, analysis on manifolds
Logarithmically convex function	Definition	Real functions
Standard part function	Definition	Real functions
H-space	Concept	Algebraic topology
Bessel's equation	Example	Ordinary differential equations
Gateaux derivative	Concept	Functional analysis
Gordon–Luecke theorem	Theorem	Manifolds and cell complexes
Plünnecke–Ruzsa inequality	Theorem	Number theory
Mutually singular measures	Concept	Measure and integration
Fréchet manifold	Concept	Global analysis, analysis on manifolds
Magnus expansion	Concept	Ordinary differential equations
Radon–Nikodym derivative	Definition	Measure and integration
Hilbert–Pólya conjecture	Conjecture	Number theory
Luzin N property	Definition	Real functions
Shooting method	Concept	Numerical analysis
Heegaard splitting	Concept	Manifolds and cell complexes
Stratonovich integral	Concept	Probability theory and stochastic processes
Galois cohomology	Definition	Field theory and polynomials
Dirichlet boundary condition	Concept	Ordinary differential equations
Differential Galois theory	Concept	Field theory and polynomials
Costa's minimal surface	Example	Differential geometry
Cohomological dimension of a group	Concept	Group theory and generalizations
Factorization of polynomials	Definition	Commutative algebra
Foundations of mathematics	Concept	Mathematical logic and foundations
Cofibration	Definition	Algebraic topology
WKB approximation	Definition	Ordinary differential equations
Quasiregular map	Concept	Functions of a complex variable
Gaussian free field	Concept	Probability theory and stochastic processes
Quasi-invariant measure	Definition	Measure and integration
Harmonic measure	Definition	Potential theory
Inner measure	Definition	Measure and integration
Spectrum of an element	Concept	Functional analysis
Markov brothers' inequality	Theorem	Approximations and expansions
Cohomology ring	Definition	Algebraic topology
Hermite normal form	Theorem	Linear and multilinear algebra; matrix theory
Continuous dual space	Definition	Functional analysis
Slowly varying function	Concept	Real functions
Eckmann–Hilton argument	Lemma	Algebraic topology
FK-space	Definition	Functional analysis
Homotopy group with coefficients	Definition	Algebraic topology
Indecomposable continuum	Definition	General topology
Polynomial interpolation	Definition	Approximations and expansions
Postnikov tower	Concept	Algebraic topology
Berlekamp's algorithm	Concept	Number theory
Schatten class	Definition	Operator theory
Hasse principle	Concept	Number theory
Rank of an abelian group	Concept	Group theory and generalizations
Cohen's independence of CH	Theorem	Mathematical logic and foundations
Total curvature	Definition	Differential geometry
Cubic reciprocity	Theorem	Number theory
Petersson inner product	Concept	Number theory
Strictly singular operator	Definition	Operator theory
Bornological space	Definition	Functional analysis
Bochner integral	Definition	Measure and integration
Homotopy type theory	Concept	Mathematical logic and foundations
Total variation of a measure	Concept	Measure and integration
Complete intersection ring	Concept	Commutative algebra
Symplectic capacity	Definition	Differential geometry
Restriction of a measure	Concept	Measure and integration
Submartingale	Definition	Probability theory and stochastic processes
Helicoid	Example	Differential geometry
Gauss sum	Concept	Number theory
Congruence subgroup	Definition	Number theory
Slice-ribbon conjecture	Conjecture	Manifolds and cell complexes
Manifold with corners	Definition	Global analysis, analysis on manifolds
Abelian extension	Concept	Field theory and polynomials
Choi's theorem on completely positive maps	Theorem	Functional analysis
Mapping cylinder	Concept	Algebraic topology
Associated prime	Concept	Commutative algebra
Total variation	Definition	Real functions
Morse lemma	Lemma	Manifolds and cell complexes
Normal function	Concept	Mathematical logic and foundations
Model complete theory	Definition	Mathematical logic and foundations
Gauss–Bonnet theorem	Theorem	Differential geometry
Intuitionistic type theory	Concept	Mathematical logic and foundations
Hilbert system	Definition	Mathematical logic and foundations
Amenable Banach algebra	Definition	Functional analysis
Loop-erased random walk	Concept	Probability theory and stochastic processes
Paraconsistent logic	Definition	Mathematical logic and foundations
Lindelöf space	Definition	General topology
Brauer character	Definition	Group theory and generalizations
Szemerédi regularity lemma	Lemma	Combinatorics
Jacobi sum	Definition	Number theory
Gromov–Hausdorff space	Object	Differential geometry
Canonical module	Definition	Commutative algebra
Local coefficient system	Definition	Algebraic topology
C0-semigroup	Concept	Operator theory
Separably closed field	Definition	Field theory and polynomials
Weak operator topology	Definition	Operator theory
Duistermaat–Heckman formula	Theorem	Differential geometry
Macdonald polynomial	Definition	Combinatorics
Transversality	Definition	Manifolds and cell complexes
Brauer group	Definition	Associative rings and algebras
Enumerative combinatorics	Concept	Combinatorics
Quillen equivalence	Definition	Category theory; homological algebra
Zariski topology	Definition	Algebraic geometry
Tensor product of Hilbert spaces	Concept	Functional analysis
Differential-algebraic system of equations	Concept	Ordinary differential equations
Euler–Boole summation	Definition	Numerical analysis
Eisenstein series	Concept	Number theory
Cauchy formula for repeated integration	Theorem	Real functions
Skolem normal form	Definition	Mathematical logic and foundations
Koebe function	Example	Functions of a complex variable
Field homomorphism	Concept	Field theory and polynomials
Abel summation	Concept	Sequences, series, summability
Steenrod reduced power	Concept	Algebraic topology
Simple homotopy equivalence	Definition	Manifolds and cell complexes
Heteroclinic orbit	Definition	Ordinary differential equations
Whitehead problem	Problem	Group theory and generalizations
Fenchel's theorem	Theorem	Differential geometry
Tensor product of modules	Concept	Commutative algebra
Exact couple	Definition	Algebraic topology
Prüfer group	Example	Group theory and generalizations