Every idea

Ideas 6001–6150 of 7806.

Name	Kind	Subject
Aronszajn tree	Object	Mathematical logic and foundations
Hermite–Minkowski theorem	Theorem	Number theory
Sidorenko's conjecture	Conjecture	Combinatorics
Tricolorability	Concept	Manifolds and cell complexes
Character table	Definition	Group theory and generalizations
Differentially closed field	Concept	Field theory and polynomials
Morse function	Concept	Manifolds and cell complexes
Hall subgroup	Concept	Group theory and generalizations
Hecke character	Definition	Number theory
Wiener–Ikehara theorem	Theorem	Number theory
Matrix pencil	Concept	Linear and multilinear algebra; matrix theory
Regular value theorem	Theorem	Manifolds and cell complexes
Kolmogorov backward equation	Concept	Probability theory and stochastic processes
Structural stability	Definition	Ordinary differential equations
Symmetric operator	Definition	Operator theory
Normal ring	Concept	Commutative algebra
Unbounded operator	Concept	Operator theory
Field norm	Concept	Field theory and polynomials
Self-similar process	Definition	Probability theory and stochastic processes
Epsilon nought	Object	Mathematical logic and foundations
Zarankiewicz problem	Problem	Combinatorics
Embedded prime	Definition	Commutative algebra
Class number problem	Problem	Number theory
Class number	Concept	Number theory
Regular local ring	Definition	Commutative algebra
Denjoy–Carleman theorem	Theorem	Real functions
Algebraic independence	Concept	Field theory and polynomials
Dedekind eta function	Definition	Number theory
Bloch's theorem	Theorem	Functions of a complex variable
Dimension theorem for local rings	Theorem	Commutative algebra
Algorithmic randomness	Concept	Mathematical logic and foundations
Real closure	Definition	Field theory and polynomials
Ring of sets	Concept	Measure and integration
Stanley–Wilf conjecture	Theorem	Combinatorics
Dirichlet space	Concept	Functions of a complex variable
Thom transversality theorem	Theorem	Manifolds and cell complexes
Toponogov's theorem	Theorem	Differential geometry
Spectral radius formula	Theorem	Operator theory
Exponential of a bounded operator	Concept	Operator theory
Frattini subgroup	Concept	Group theory and generalizations
Dedekind zeta function	Concept	Number theory
Reduced ring	Definition	Commutative algebra
Renewal theory	Definition	Probability theory and stochastic processes
Hadamard factorization theorem	Theorem	Functions of a complex variable
Heegaard Floer homology	Definition	Manifolds and cell complexes
Supermartingale	Definition	Probability theory and stochastic processes
CAT(k) space	Definition	Differential geometry
Quillen equivalence	Concept	Category theory; homological algebra
Borel's lemma	Lemma	Real functions
Harmonic map	Concept	Global analysis, analysis on manifolds
Computable function	Concept	Mathematical logic and foundations
Stark–Heegner theorem	Theorem	Number theory
Analytical hierarchy	Definition	Mathematical logic and foundations
Perron integral	Concept	Real functions
Viète's formula	Theorem	Sequences, series, summability
Backward differentiation formula	Definition	Numerical analysis
Singular homology	Concept	Algebraic topology
Grigorchuk group	Object	Group theory and generalizations
Jordan–Hölder theorem for modules	Theorem	Associative rings and algebras
Inverse function theorem in Banach spaces	Theorem	Global analysis, analysis on manifolds
Rogers–Ramanujan identities	Theorem	Number theory
Compact operator	Concept	Operator theory
Finsler manifold	Definition	Differential geometry
Depth	Concept	Commutative algebra
Primary decomposition	Definition	Commutative algebra
Ax–Grothendieck theorem	Theorem	Mathematical logic and foundations
Dual operator	Definition	Operator theory
Green's function for the Laplacian	Concept	Potential theory
Curvature of a curve	Definition	Differential geometry
Locally finite family	Definition	General topology
Nevanlinna class	Concept	Functions of a complex variable
Place (number field)	Definition	Number theory
Determinantal ideal	Definition	Commutative algebra
Rees matrix semigroup	Definition	Group theory and generalizations
Brun sieve	Concept	Number theory
Noetherian topological space	Definition	General topology
Ultrametric space	Definition	General topology
Ideal norm	Concept	Number theory
Local coefficient system	Concept	Algebraic topology
Hopf fibration	Example	Algebraic topology
Torsion group	Definition	Group theory and generalizations
Hilbert's fourteenth problem	Problem	Commutative algebra
Hölder summation	Concept	Sequences, series, summability
Matrix summability method	Concept	Sequences, series, summability
Higher homotopy groups are abelian	Proposition	Algebraic topology
Chebyshev polynomials	Object	Special functions
Analytical hierarchy	Concept	Mathematical logic and foundations
Character space	Concept	Functional analysis
Image of J	Definition	Algebraic topology
Ahlfors theory	Concept	Functions of a complex variable
Modular form	Definition	Number theory
Product sigma-algebra	Definition	Measure and integration
Unbounded operator	Definition	Operator theory
Sylvester equation	Concept	Linear and multilinear algebra; matrix theory
Fisher's inequality	Theorem	Combinatorics
Grünwald–Letnikov derivative	Concept	Real functions
Convergence tests	Definition	Sequences, series, summability
First fundamental form	Concept	Differential geometry
Polynomial function	Definition	Real functions
Saddle-node bifurcation	Concept	Ordinary differential equations
Additive energy	Concept	Number theory
Lyapunov–Schmidt reduction	Concept	Operator theory
Hamiltonian path	Concept	Combinatorics
Duality of Lp spaces	Theorem	Functional analysis
Weak convergence of measures	Concept	Probability theory and stochastic processes
Chebyshev functions	Definition	Number theory
Linear continuum	Definition	General topology
Unknotting number	Definition	Manifolds and cell complexes
Torus knot	Definition	Manifolds and cell complexes
Local homeomorphism	Concept	General topology
Grötzsch's theorem	Theorem	Combinatorics
Markov chain Monte Carlo	Definition	Numerical analysis
Urysohn space	Concept	General topology
Nonnegative matrix	Definition	Linear and multilinear algebra; matrix theory
Group extension	Concept	Group theory and generalizations
Nested intervals theorem	Theorem	Real functions
Gödel numbering	Concept	Mathematical logic and foundations
Regular variation	Concept	Real functions
Strong perfect graph theorem	Theorem	Combinatorics
Difference set	Concept	Combinatorics
Space of bounded continuous functions	Concept	Functional analysis
Hermite polynomials	Object	Special functions
Lindenbaum–Tarski algebra	Definition	Mathematical logic and foundations
Alexander–Spanier cohomology	Concept	Algebraic topology
Discrete valuation ring	Concept	Commutative algebra
Selberg sieve	Definition	Number theory
Morse inequalities	Theorem	Manifolds and cell complexes
Surgery theory	Concept	Manifolds and cell complexes
Loop space	Definition	Algebraic topology
Bochner integral	Concept	Measure and integration
Hankel operator	Definition	Operator theory
Casus irreducibilis	Theorem	Field theory and polynomials
Tight and overtwisted contact structures	Definition	Manifolds and cell complexes
I-adic topology	Definition	Commutative algebra
Ekeland's variational principle	Theorem	Global analysis, analysis on manifolds
Stone–Čech compactification	Definition	General topology
Orientation of a manifold	Definition	Manifolds and cell complexes
Kolmogorov quotient	Concept	General topology
Metropolis–Hastings algorithm	Concept	Numerical analysis
Inductive dimension	Concept	General topology
Borel functional calculus	Definition	Operator theory
Unitary operator	Concept	Operator theory
Linear continuum	Concept	General topology
Kovacic's algorithm	Definition	Ordinary differential equations
Tightness of measures	Concept	Probability theory and stochastic processes
Group algebra	Concept	Group theory and generalizations
Large deviations theory	Definition	Probability theory and stochastic processes
Rössler attractor	Example	Ordinary differential equations
Group isomorphism problem	Problem	Group theory and generalizations
Galois group of a finite field extension	Theorem	Field theory and polynomials