Every idea

Ideas 5101–5250 of 7806.

Name	Kind	Subject
Relative CW complex	Concept	Manifolds and cell complexes
Chromatic homotopy theory	Definition	Algebraic topology
Localization of a space	Concept	Algebraic topology
Euler–Maruyama method	Definition	Numerical analysis
Girth	Concept	Combinatorics
Extremally disconnected space	Definition	General topology
Newton polygon	Definition	Field theory and polynomials
Interval arithmetic	Definition	Numerical analysis
LYM inequality	Theorem	Combinatorics
Difference set	Definition	Combinatorics
Lorentzian manifold	Definition	Differential geometry
Suslin's problem	Problem	Mathematical logic and foundations
Liénard equation	Example	Ordinary differential equations
Nuclear C*-algebra	Concept	Functional analysis
Semiring	Concept	Associative rings and algebras
Adams–Novikov spectral sequence	Theorem	Algebraic topology
Whitehead tower	Concept	Algebraic topology
Space of bounded continuous functions	Definition	Functional analysis
Quasi-measure-preserving map	Definition	Measure and integration
Path space fibration	Concept	Algebraic topology
Feedback linearization	Definition	Systems theory; control
Closure of an operator	Definition	Operator theory
Complex multiplication	Concept	Number theory
Homotopy extension property	Concept	Algebraic topology
Tychonoff plank	Counterexample	General topology
Geometric Brownian motion	Concept	Probability theory and stochastic processes
Structural stability	Concept	Ordinary differential equations
Locally connected space	Definition	General topology
Puiseux series	Definition	Commutative algebra
Uniform algebra	Definition	Functional analysis
Horn	Concept	Algebraic topology
Quasi-algebraically closed field	Definition	Field theory and polynomials
Polynomial long division	Concept	Commutative algebra
Prokhorov's theorem	Theorem	Probability theory and stochastic processes
Extension and contraction of ideals	Definition	Commutative algebra
Abelian and Tauberian theorems	Concept	Sequences, series, summability
Eigendecomposition	Theorem	Linear and multilinear algebra; matrix theory
Puppe sequence	Theorem	Algebraic topology
Countable additivity	Concept	Measure and integration
Transcendence degree	Concept	Field theory and polynomials
Topological field	Concept	Field theory and polynomials
Projective connection	Concept	Differential geometry
Hilbert's Nullstellensatz	Theorem	Commutative algebra
Ulm's theorem	Theorem	Group theory and generalizations
Topology of pointwise convergence	Definition	General topology
Specht module	Definition	Group theory and generalizations
Rota's basis conjecture	Conjecture	Combinatorics
Axiom schema of replacement	Concept	Mathematical logic and foundations
Computable function	Definition	Mathematical logic and foundations
Kolmogorov's inequality	Theorem	Probability theory and stochastic processes
Ahlfors–Bers theorem	Theorem	Functions of a complex variable
Stone–Čech compactification	Concept	General topology
Standard Borel space	Definition	Measure and integration
Schur polynomial	Definition	Combinatorics
Residually finite group	Definition	Group theory and generalizations
Hadamard gap theorem	Theorem	Functions of a complex variable
Topological quantum field theory	Concept	Manifolds and cell complexes
Tridiagonal matrix	Concept	Linear and multilinear algebra; matrix theory
Relative homology	Definition	Algebraic topology
Karamata's Tauberian theorem	Theorem	Sequences, series, summability
Logarithmic capacity	Concept	Potential theory
Graph of groups	Concept	Group theory and generalizations
Obstruction theory	Definition	Algebraic topology
Second-order arithmetic	Concept	Mathematical logic and foundations
Optional stopping theorem	Theorem	Probability theory and stochastic processes
Fejér kernel	Concept	Harmonic analysis on Euclidean spaces
Marchenko–Pastur law	Theorem	Probability theory and stochastic processes
f-vector and h-vector	Concept	Combinatorics
Schauder fixed-point theorem	Theorem	Operator theory
Adams spectral sequence	Theorem	Algebraic topology
Tor functor	Concept	Commutative algebra
Real closed field	Example	Field theory and polynomials
Tameness theorem	Theorem	Manifolds and cell complexes
Segal conjecture	Theorem	Algebraic topology
Hilbert sum	Definition	Functional analysis
Hilbert space adjoint	Definition	Operator theory
von Neumann regular ring	Definition	Associative rings and algebras
Permutation pattern	Definition	Combinatorics
Bochner's formula	Theorem	Differential geometry
Coherent ring	Definition	Commutative algebra
Minimal surface	Definition	Differential geometry
Integral of a non-negative function	Concept	Measure and integration
Oscillation theory	Definition	Ordinary differential equations
Complete measure	Definition	Measure and integration
Disk algebra	Concept	Functional analysis
Moving frame	Definition	Differential geometry
Pólya urn model	Example	Probability theory and stochastic processes
Yau–Tian–Donaldson conjecture	Theorem	Several complex variables and analytic spaces
Measurable space	Definition	Measure and integration
Unitary operator	Definition	Operator theory
Singular simplicial set	Definition	Algebraic topology
Oracle machine	Definition	Mathematical logic and foundations
Absolute neighborhood retract	Concept	General topology
Nilpotent operator	Concept	Operator theory
Sentence	Concept	Mathematical logic and foundations
Shooting method	Definition	Numerical analysis
Clifford analysis	Concept	Functions of a complex variable
Hadamard matrix	Definition	Combinatorics
Linear algebra method	Concept	Combinatorics
Pontryagin class	Concept	Manifolds and cell complexes
Transformation semigroup	Definition	Group theory and generalizations
Computable set	Definition	Mathematical logic and foundations
Nehari's theorem on univalence	Theorem	Functions of a complex variable
Volterra integral equation	Concept	Integral equations
Point process	Concept	Probability theory and stochastic processes
Generalized Riemann hypothesis	Conjecture	Number theory
M-matrix	Concept	Linear and multilinear algebra; matrix theory
Embedding dimension	Concept	Commutative algebra
Commutative algebra over a ring	Concept	Commutative algebra
Dual graph	Definition	Combinatorics
Absolute Galois group	Definition	Field theory and polynomials
Stable homotopy category	Definition	Algebraic topology
Clopen set	Concept	General topology
Function field	Definition	Field theory and polynomials
Tangent bundle	Definition	Global analysis, analysis on manifolds
Shape operator	Concept	Differential geometry
Subnormal subgroup	Definition	Group theory and generalizations
Euler's sine product	Theorem	Functions of a complex variable
Trace form	Definition	Field theory and polynomials
Regular surface	Definition	Differential geometry
Extremal graph theory	Definition	Combinatorics
Integral closure	Definition	Commutative algebra
Donaldson theory	Definition	Manifolds and cell complexes
Near-field	Concept	Field theory and polynomials
Margulis superrigidity theorem	Theorem	Topological groups, Lie groups
Stationary process	Concept	Probability theory and stochastic processes
Essentially self-adjoint operator	Concept	Operator theory
Compactness via ultrafilters	Theorem	General topology
O-minimal theory	Concept	Mathematical logic and foundations
Countably compact space	Definition	General topology
Curve-shortening flow	Concept	Differential geometry
Stone's theorem on one-parameter unitary groups	Theorem	Operator theory
Loeb measure	Concept	Measure and integration
Riesz–Markov–Kakutani representation theorem	Theorem	Measure and integration
Lebesgue integral	Concept	Measure and integration
Perfectly normal space	Definition	General topology
Many-valued logic	Concept	Mathematical logic and foundations
Affine connection	Definition	Differential geometry
Degree of a continuous map	Definition	Algebraic topology
The Klein four-group is abelian but not cyclic	Example	Group theory and generalizations
CAT(0) group	Definition	Group theory and generalizations
Expander graph	Concept	Combinatorics
von Neumann regular ring	Concept	Associative rings and algebras
James space	Example	Functional analysis
Hyperbolic knot	Definition	Manifolds and cell complexes
Borel measure	Concept	Measure and integration
Locally finite family	Concept	General topology
Elementary abelian group	Concept	Group theory and generalizations
Picard group of a ring	Concept	Commutative algebra
Fenichel's theorem	Theorem	Ordinary differential equations