Every idea

Ideas 6151–6300 of 7806.

Name	Kind	Subject
Weinstein conjecture	Conjecture	Differential geometry
Percolation threshold	Concept	Probability theory and stochastic processes
Pólya enumeration theorem	Theorem	Combinatorics
Bounded inverse theorem	Theorem	Functional analysis
Baer's criterion	Theorem	Associative rings and algebras
Projective dimension	Concept	Commutative algebra
Filter	Definition	General topology
Bounded mean oscillation	Definition	Functions of a complex variable
Iwasawa theory	Definition	Number theory
Doob's martingale convergence theorems	Theorem	Probability theory and stochastic processes
Willmore flow	Concept	Differential geometry
Mittag-Leffler summation	Concept	Sequences, series, summability
Model theory of algebraically closed fields	Concept	Field theory and polynomials
Galois correspondence for coverings	Theorem	Manifolds and cell complexes
Smith normal form	Theorem	Linear and multilinear algebra; matrix theory
McShane–Whitney extension	Theorem	Real functions
Model	Concept	Mathematical logic and foundations
Krull dimension	Concept	Commutative algebra
Bockstein spectral sequence	Theorem	Algebraic topology
Locally finite measure	Definition	Measure and integration
Algebraic number field	Concept	Number theory
Sum-free set	Definition	Number theory
Congruent number problem	Problem	Number theory
Computably enumerable set	Definition	Mathematical logic and foundations
Commuting matrices	Definition	Linear and multilinear algebra; matrix theory
Piecewise linear manifold	Definition	Manifolds and cell complexes
Dedekind eta function	Concept	Number theory
Bernstein inequalities	Theorem	Probability theory and stochastic processes
Anderson localization	Concept	Statistical mechanics, structure of matter
Dowker space	Concept	General topology
Wallpaper group	Example	Group theory and generalizations
Perfect field	Definition	Field theory and polynomials
Morse function	Definition	Manifolds and cell complexes
Local ring	Concept	Commutative algebra
Interchange of summation order	Corollary	Sequences, series, summability
Semimartingale	Definition	Probability theory and stochastic processes
Torsion of a curve	Definition	Differential geometry
Vitali–Hahn–Saks theorem	Theorem	Measure and integration
Resurgent function	Definition	Ordinary differential equations
Operator monotone function	Concept	Operator theory
Large sieve	Concept	Number theory
Formalism	Definition	Mathematical logic and foundations
Cohen–Macaulay ring	Concept	Commutative algebra
Hilbert's irreducibility theorem	Theorem	Field theory and polynomials
Killing–Hopf theorem	Theorem	Differential geometry
Fitting subgroup	Concept	Group theory and generalizations
Andrews–Curtis conjecture	Conjecture	Group theory and generalizations
Whitney sum	Definition	Algebraic topology
Decomposition group	Definition	Number theory
Localization at a prime ideal	Definition	Commutative algebra
Varifold	Concept	Calculus of variations and optimal control; optimization
Cohen structure theorem	Theorem	Commutative algebra
Hardy–Littlewood Tauberian theorem	Theorem	Sequences, series, summability
Dedekind's lemma on independence of characters	Lemma	Field theory and polynomials
Approximate point spectrum	Concept	Operator theory
Pseudoholomorphic curve	Concept	Several complex variables and analytic spaces
Ackermann function	Example	Mathematical logic and foundations
Proof theory	Concept	Mathematical logic and foundations
Measurable space	Concept	Measure and integration
Minkowski inequality	Theorem	Real functions
Nest algebra	Definition	Operator theory
Space of functions vanishing at infinity	Concept	Functional analysis
The cosets of a subgroup that is not normal do not form a group	Example	Group theory and generalizations
Liouvillian function	Concept	Field theory and polynomials
Thom isomorphism	Theorem	Algebraic topology
Adjunction space	Concept	General topology
Basic open set	Concept	Algebraic geometry
Perfect map	Concept	General topology
Sunflower lemma	Lemma	Combinatorics
Linearly disjoint extensions	Concept	Field theory and polynomials
Linear and stable summation methods	Concept	Sequences, series, summability
Minimal prime ideal	Definition	Commutative algebra
Cap product	Concept	Algebraic topology
Combinatorics on words	Definition	Computer science
Depth	Definition	Commutative algebra
Disintegration theorem	Theorem	Measure and integration
Adjoint of an unbounded operator	Definition	Operator theory
Fréchet space	Definition	Functional analysis
Stanley–Reisner ring	Definition	Commutative algebra
Cesàro summation	Concept	Sequences, series, summability
Sober space	Definition	General topology
Heteroclinic orbit	Concept	Ordinary differential equations
Positive element	Concept	Functional analysis
Infinitesimal generator of a Markov process	Definition	Probability theory and stochastic processes
Quaternion-Kähler manifold	Concept	Differential geometry
Brauer's main theorems	Theorem	Group theory and generalizations
Distribution function of a measurable function	Definition	Measure and integration
Osgood's lemma	Lemma	Several complex variables and analytic spaces
Tomita–Takesaki theory	Concept	Functional analysis
Wiener's lemma	Theorem	Harmonic analysis on Euclidean spaces
Euler class	Definition	Manifolds and cell complexes
Operator system	Definition	Functional analysis
Equidistribution theorem	Theorem	Number theory
Floer homology	Concept	Differential geometry
Lindelöf summation	Definition	Sequences, series, summability
Lehmer's conjecture	Conjecture	Number theory
Petersson inner product	Definition	Number theory
Surface of revolution	Example	Differential geometry
Incidence algebra	Definition	Order, lattices, ordered algebraic structures
Śleszyński–Pringsheim theorem	Theorem	Sequences, series, summability
Hyperfunction	Concept	Functional analysis
Dulac's theorem on finiteness of limit cycles	Theorem	Ordinary differential equations
Completely positive map	Definition	Functional analysis
Premeasure	Definition	Measure and integration
Orlicz–Pettis theorem	Theorem	Functional analysis
Krein space	Concept	Functional analysis
Axiom of regularity	Concept	Mathematical logic and foundations
Intersection form	Definition	Manifolds and cell complexes
Functional equation of the Riemann zeta function	Theorem	Number theory
Discriminant of a number field	Definition	Number theory
Steinhaus theorem on regular methods	Theorem	Sequences, series, summability
Stopped process	Concept	Probability theory and stochastic processes
Heyting algebra	Concept	Order, lattices, ordered algebraic structures
Umbilical point	Definition	Differential geometry
Kripke semantics	Concept	Mathematical logic and foundations
Krylov–Bogolyubov averaging	Definition	Ordinary differential equations
Pfaffian	Concept	Linear and multilinear algebra; matrix theory
Partition of unity	Concept	Global analysis, analysis on manifolds
Essential spectrum	Definition	Operator theory
Poincaré homology sphere	Example	Manifolds and cell complexes
Heegner point	Definition	Number theory
Surgery theory	Definition	Manifolds and cell complexes
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
Itô calculus	Definition	Probability theory and stochastic processes
Continuum	Concept	General topology
Reduced homology	Concept	Algebraic topology
Boolean model	Concept	Probability theory and stochastic processes
Moduli of algebraic curves	Concept	Algebraic geometry
Alexander subbase theorem	Theorem	General topology
Douglas' lemma	Lemma	Operator theory
Absorbing set	Concept	Functional analysis
Complete theory	Definition	Mathematical logic and foundations
Cyclotomic field	Concept	Number theory
Reflexive space	Concept	Functional analysis
Inner function	Concept	Functions of a complex variable
Eilenberg–Moore spectral sequence	Theorem	Algebraic topology
Resultant	Concept	Commutative algebra
Cantor function	Counterexample	Real functions
Group of Lie type	Concept	Group theory and generalizations
Completion of a normed space	Definition	Functional analysis
Completion is flat	Theorem	Commutative algebra
Topology generated by a family of seminorms	Definition	Functional analysis
Infinite Galois theory	Definition	Field theory and polynomials
Szemerédi–Trotter theorem	Theorem	Convex and discrete geometry
GCD domain	Definition	Commutative algebra
Infinitely divisible distribution	Definition	Probability theory and stochastic processes
Conway polynomial	Concept	Number theory