Concepts
A mathematical idea. It can have more than one definition.
- Concepts 2778
- Definitions 2634
- Statements 1926
- Conjectures 38
- Problems 54
- Examples 213
- Counterexamples 52
- Objects 99
- Proofs 10
- Computations 1
- Topics 1
Ideas 1351–1500 of 2778.
| Name | Kind | Subject |
|---|---|---|
| Exchangeable random variables | Concept | Probability theory and stochastic processes |
| Sober space | Concept | General topology |
| Nerve of a cover | Concept | Algebraic topology |
| Borel hierarchy | Concept | Mathematical logic and foundations |
| Ext functor | Concept | Commutative algebra |
| Weak homotopy equivalence | Concept | Algebraic topology |
| Axiom of constructibility | Concept | Mathematical logic and foundations |
| Bornological space | Concept | Functional analysis |
| Buchberger's algorithm | Concept | Commutative algebra |
| Jones polynomial | Concept | Manifolds and cell complexes |
| Nilpotency class | Concept | Group theory and generalizations |
| Field of rational functions | Concept | Field theory and polynomials |
| Approximate derivative | Concept | Real functions |
| Pi-system | Concept | Measure and integration |
| Matroid minor | Concept | Combinatorics |
| Weak operator topology | Concept | Operator theory |
| Finite model theory | Concept | Mathematical logic and foundations |
| Arithmetic group | Concept | Group theory and generalizations |
| Approximately finite-dimensional C*-algebra | Concept | Functional analysis |
| Capacity of a set | Concept | Potential theory |
| Loewner differential equation | Concept | Functions of a complex variable |
| Selberg sieve | Concept | Number theory |
| Schauder basis | Concept | Functional analysis |
| Stable homotopy theory | Concept | Algebraic topology |
| Matrix norm | Concept | Linear and multilinear algebra; matrix theory |
| Geodesic curvature | Concept | Differential geometry |
| Measure-preserving transformation | Concept | Measure and integration |
| Indecomposable continuum | Concept | General topology |
| Robin boundary condition | Concept | Ordinary differential equations |
| Polish space | Concept | General topology |
| Extension and contraction of ideals | Concept | Commutative algebra |
| Killing vector field | Concept | Differential geometry |
| Neutral differential equation | Concept | Ordinary differential equations |
| Complex cobordism | Concept | Algebraic topology |
| Covariant derivative | Concept | Differential geometry |
| Totally positive matrix | Concept | Linear and multilinear algebra; matrix theory |
| Spectral graph theory | Concept | Combinatorics |
| Wedge sum | Concept | General topology |
| Riemann surface | Concept | Functions of a complex variable |
| Majorization | Concept | Real functions |
| Thom space | Concept | Algebraic topology |
| Primitive recursive function | Concept | Mathematical logic and foundations |
| Knot Floer homology | Concept | Manifolds and cell complexes |
| Logicism | Concept | Mathematical logic and foundations |
| Eulerian number | Concept | Combinatorics |
| Fourier transform of tempered distributions | Concept | Functional analysis |
| Finsler manifold | Concept | Differential geometry |
| Siegel zero | Concept | Number theory |
| CW complex | Concept | Manifolds and cell complexes |
| Universally catenary ring | Concept | Commutative algebra |
| Maximum and minimum | Concept | Real functions |
| Inverse mean curvature flow | Concept | Differential geometry |
| Oscillation of a function | Concept | Real functions |
| Connection on a vector bundle | Concept | Differential geometry |
| Regular surface | Concept | Differential geometry |
| Generator of a semigroup | Concept | Operator theory |
| Turing jump | Concept | Mathematical logic and foundations |
| Poincaré map | Concept | Dynamical systems and ergodic theory |
| Perfect set | Concept | General topology |
| Global field | Concept | Number theory |
| Square root of a matrix | Concept | Linear and multilinear algebra; matrix theory |
| Regular local ring | Concept | Commutative algebra |
| Finite measure | Concept | Measure and integration |
| Monogenic function | Concept | Functions of a complex variable |
| Max-plus algebra | Concept | Linear and multilinear algebra; matrix theory |
| Complete theory | Concept | Mathematical logic and foundations |
| Cardinal characteristics of the continuum | Concept | Mathematical logic and foundations |
| Reflexive operator algebra | Concept | Operator theory |
| Substructure | Concept | Mathematical logic and foundations |
| Projective tensor product | Concept | Functional analysis |
| 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 |
| Mori domain | Concept | Commutative algebra |
| Regular sequence | Concept | Commutative algebra |
| Building | Concept | Group theory and generalizations |
| Right-angled Artin group | Concept | Group theory and generalizations |
| Term | Concept | Mathematical logic and foundations |
| Homoclinic orbit | Concept | Ordinary differential equations |
| Ramanujan tau function | Concept | Number theory |
| Semi-local ring | Concept | Commutative algebra |
| Erdős–Rényi model | Concept | Combinatorics |
| Final topology | Concept | General topology |
| Kähler–Einstein metric | Concept | Several complex variables and analytic spaces |
| Quasi-isometry | Concept | Group theory and generalizations |
| Thom spectrum | Concept | Algebraic topology |
| Hilbert space adjoint | Concept | Operator theory |
| Product sigma-algebra | Concept | Measure and integration |
| Schur complement | Concept | Linear and multilinear algebra; matrix theory |
| Limit-point and limit-circle | Concept | Ordinary differential equations |
| Local cohomology | Concept | Commutative algebra |
| Natural deduction | Concept | Mathematical logic and foundations |
| Bass–Serre theory | Concept | Group theory and generalizations |
| Submartingale | Concept | Probability theory and stochastic processes |
| Witt vectors | Concept | Commutative algebra |
| Singular cohomology | Concept | Algebraic topology |
| Incompressible surface | Concept | Manifolds and cell complexes |
| Amenable Banach algebra | Concept | Functional analysis |
| Differential of a smooth map | Concept | Global analysis, analysis on manifolds |
| Torsion submodule | Concept | Commutative algebra |
| Aleph number | Concept | Mathematical logic and foundations |
| Dual matroid | Concept | Combinatorics |
| Linear topology | Concept | Commutative algebra |
| Immersion | Concept | Manifolds and cell complexes |
| Rigged Hilbert space | Concept | Functional analysis |
| Krylov–Bogolyubov averaging | Concept | Ordinary differential equations |
| Homology manifold | Concept | Manifolds and cell complexes |
| Young measure | Concept | Calculus of variations and optimal control; optimization |
| Caputo fractional derivative | Concept | Real functions |
| Ring of invariants | Concept | Commutative algebra |
| Wynn's epsilon algorithm | Concept | Numerical analysis |
| Normal closure | Concept | Field theory and polynomials |
| Homogeneous ideal | Concept | Commutative algebra |
| Tauberian condition | Concept | Sequences, series, summability |
| Schwarzian derivative | Concept | Functions of a complex variable |
| Orientability | Concept | Manifolds and cell complexes |
| Summation of families over arbitrary index sets | Concept | Sequences, series, summability |
| Convergence of filters | Concept | General topology |
| Virtual knot | Concept | Manifolds and cell complexes |
| Alexandrov space | Concept | Differential geometry |
| FK-space | Concept | Functional analysis |
| Kontsevich integral | Concept | Manifolds and cell complexes |
| Flat module | Concept | Commutative algebra |
| NIP theory | Concept | Mathematical logic and foundations |
| Strong Cesàro summability | Concept | Sequences, series, summability |
| Turing machine | Concept | Mathematical logic and foundations |
| Classical group | Concept | Group theory and generalizations |
| Finitely presented algebra | Concept | Commutative algebra |
| Positive operator | Concept | Operator theory |
| Real closure | Concept | Field theory and polynomials |
| Product measure | Concept | Measure and integration |
| Summability field of a matrix method | Concept | Sequences, series, summability |
| Brouwer–Heyting–Kolmogorov interpretation | Concept | Mathematical logic and foundations |
| Darboux function | Concept | Real functions |
| Steiner system | Concept | Combinatorics |
| Riemannian manifold | Concept | Differential geometry |
| Arithmetical hierarchy | Concept | Mathematical logic and foundations |
| Runge–Kutta methods | Concept | Numerical analysis |
| Haken manifold | Concept | Manifolds and cell complexes |
| Manifold with boundary | Concept | Manifolds and cell complexes |
| Jacobson ring | Concept | Commutative algebra |
| Quantifier elimination | Concept | Mathematical logic and foundations |
| Point spectrum | Concept | Operator theory |
| Schwarz–Christoffel mapping | Concept | Functions of a complex variable |
| k-vertex-connected graph | Concept | Combinatorics |
| Characteristic class | Concept | Algebraic topology |
| Kähler differentials | Concept | Commutative algebra |
| Curvature of a curve | Concept | Differential geometry |
| Crystallographic group | Concept | Group theory and generalizations |