Every idea

Ideas 4051–4200 of 7806.

Name	Kind	Subject
Riemann surface	Concept	Functions of a complex variable
Majorization	Concept	Real functions
Stable homotopy theory	Definition	Algebraic topology
Satellite knot	Definition	Manifolds and cell complexes
Mergelyan's theorem	Theorem	Functions of a complex variable
Idele class group	Definition	Number theory
Brauer's height zero conjecture	Conjecture	Group theory and generalizations
Itô isometry	Theorem	Probability theory and stochastic processes
Naive set theory	Definition	Mathematical logic and foundations
Heegaard splitting	Definition	Manifolds and cell complexes
Thom space	Concept	Algebraic topology
Failure of Kalman's conjecture	Counterexample	Systems theory; control
Pareto distribution	Example	Probability theory and stochastic processes
Absolute continuity	Definition	Real functions
Primitive recursive function	Concept	Mathematical logic and foundations
Knot Floer homology	Concept	Manifolds and cell complexes
Logicism	Concept	Mathematical logic and foundations
Pseudoholomorphic curve	Definition	Several complex variables and analytic spaces
Soundness	Definition	Mathematical logic and foundations
Eulerian number	Concept	Combinatorics
Barycentric subdivision	Definition	Algebraic topology
Fourier transform of tempered distributions	Concept	Functional analysis
Frobenius theorem	Theorem	Global analysis, analysis on manifolds
Norm residue isomorphism theorem	Theorem	K-theory
Sphere theorem for 3-manifolds	Theorem	Manifolds and cell complexes
Finsler manifold	Concept	Differential geometry
Invariant subspace problem	Problem	Operator theory
Frame bundle	Definition	Global analysis, analysis on manifolds
Tensor product of Hilbert spaces	Definition	Functional analysis
Milnor conjecture on slice genus of torus knots	Theorem	Manifolds and cell complexes
May recognition principle	Theorem	Algebraic topology
CW complex	Definition	Manifolds and cell complexes
Stable homotopy groups of spheres	Definition	Algebraic topology
Vandermonde matrix	Definition	Linear and multilinear algebra; matrix theory
Grandi's series	Example	Sequences, series, summability
Siegel zero	Concept	Number theory
Algebraic combinatorics	Definition	Combinatorics
High indices theorem	Theorem	Sequences, series, summability
Stratonovich integral	Definition	Probability theory and stochastic processes
CW complex	Concept	Manifolds and cell complexes
E-infinity operad	Definition	Algebraic topology
Universally catenary ring	Concept	Commutative algebra
Maximum and minimum	Concept	Real functions
Clifford algebra	Definition	Linear and multilinear algebra; matrix theory
Inverse mean curvature flow	Concept	Differential geometry
Oscillation of a function	Concept	Real functions
Hille–Yosida theorem	Theorem	Operator theory
Classical Wiener space	Object	Probability theory and stochastic processes
Singular cohomology	Definition	Algebraic topology
Gröbner basis	Definition	Commutative algebra
Perron integral	Definition	Real functions
Characteristic of a field	Definition	Field theory and polynomials
Connection on a vector bundle	Concept	Differential geometry
Regular surface	Concept	Differential geometry
Generator of a semigroup	Concept	Operator theory
Closable operator	Definition	Operator theory
Turing jump	Concept	Mathematical logic and foundations
Tarski–Vaught test	Proposition	Mathematical logic and foundations
Poincaré map	Concept	Dynamical systems and ergodic theory
Graph enumeration	Definition	Combinatorics
Ryll-Nardzewski fixed-point theorem	Theorem	Operator theory
Schreier–Sims algorithm	Definition	Computer science
Provability logic	Definition	Mathematical logic and foundations
Schwarz integral formula	Theorem	Functions of a complex variable
Perfect set	Concept	General topology
Perron–Frobenius theorem	Theorem	Linear and multilinear algebra; matrix theory
Homotopy extension property	Definition	Algebraic topology
Global field	Concept	Number theory
Square root of a matrix	Concept	Linear and multilinear algebra; matrix theory
Zeta function regularization	Definition	Number theory
Regular local ring	Concept	Commutative algebra
Finite measure	Concept	Measure and integration
Monogenic function	Concept	Functions of a complex variable
Invariant mean	Definition	Abstract harmonic analysis
Max-plus algebra	Concept	Linear and multilinear algebra; matrix theory
Khovanov homology	Definition	Manifolds and cell complexes
Schur–Zassenhaus theorem	Theorem	Group theory and generalizations
Complete theory	Concept	Mathematical logic and foundations
Inverse semigroup	Definition	Group theory and generalizations
Normed field	Definition	Field theory and polynomials
Gelfand–Levitan theory	Definition	Ordinary differential equations
Schanuel's conjecture	Conjecture	Number theory
Adjunction space	Definition	General topology
Cardinal characteristics of the continuum	Concept	Mathematical logic and foundations
Many-valued logic	Definition	Mathematical logic and foundations
Reflexive operator algebra	Concept	Operator theory
Substructure	Concept	Mathematical logic and foundations
Iwasawa main conjecture	Theorem	Number theory
Projective tensor product	Concept	Functional analysis
Telescope conjecture	Counterexample	Algebraic topology
Jordan curve theorem	Theorem	Manifolds and cell complexes
One-relator group	Concept	Group theory and generalizations
Localization of a module	Concept	Commutative algebra
Lie bracket of vector fields	Concept	Global analysis, analysis on manifolds
Moore space	Concept	General topology
Skolem's paradox	Example	Mathematical logic and foundations
Null set	Definition	Measure and integration
Automorphic form	Definition	Number theory
Gauss–Codazzi equations	Theorem	Differential geometry
Dynkin system	Definition	Measure and integration
Wirtinger derivatives	Definition	Functions of a complex variable
Mori domain	Concept	Commutative algebra
Regular sequence	Concept	Commutative algebra
Kripke semantics	Definition	Mathematical logic and foundations
Building	Concept	Group theory and generalizations
Almost everywhere	Definition	Measure and integration
Rough path	Definition	Probability theory and stochastic processes
Right-angled Artin group	Concept	Group theory and generalizations
Term	Concept	Mathematical logic and foundations
Regular sequence	Definition	Commutative algebra
Homoclinic orbit	Concept	Ordinary differential equations
Runge's theorem	Theorem	Functions of a complex variable
Ramanujan tau function	Concept	Number theory
Semi-local ring	Concept	Commutative algebra
Erdős–Rényi model	Concept	Combinatorics
Rearrangement inequality	Theorem	Real functions
Final topology	Concept	General topology
Kähler–Einstein metric	Concept	Several complex variables and analytic spaces
Lévy–Steinitz theorem	Theorem	Sequences, series, summability
Fuchs' theorem	Theorem	Ordinary differential equations
Carlson's theorem	Theorem	Functions of a complex variable
Stationary set	Definition	Mathematical logic and foundations
Calkin algebra	Object	Functional analysis
Quasi-isometry	Concept	Group theory and generalizations
Preissmann's theorem	Theorem	Differential geometry
Cantor normal form	Theorem	Mathematical logic and foundations
QR algorithm	Definition	Numerical analysis
Hahn–Banach separation theorem	Theorem	Functional analysis
Thom spectrum	Concept	Algebraic topology
Hilbert space adjoint	Concept	Operator theory
Bump function	Definition	Real functions
Product sigma-algebra	Concept	Measure and integration
Schur complement	Concept	Linear and multilinear algebra; matrix theory
Klein bottle	Example	Manifolds and cell complexes
Limit-point and limit-circle	Concept	Ordinary differential equations
Local cohomology	Concept	Commutative algebra
Representation theory of the symmetric group	Definition	Group theory and generalizations
Natural deduction	Concept	Mathematical logic and foundations
Bass–Serre theory	Concept	Group theory and generalizations
Submartingale	Concept	Probability theory and stochastic processes
Homotopy type	Definition	Algebraic topology
Witt vectors	Concept	Commutative algebra
Singular cohomology	Concept	Algebraic topology
Incompressible surface	Concept	Manifolds and cell complexes
Catenoid	Example	Differential geometry
Whitehead theorem	Theorem	Algebraic topology
Amenable Banach algebra	Concept	Functional analysis
Differential of a smooth map	Concept	Global analysis, analysis on manifolds
Torsion submodule	Concept	Commutative algebra
Collatz conjecture	Conjecture	Number theory