Definitions
One definition of a concept.
- Concepts 3771
- Definitions 3614
- Statements 2208
- Conjectures 58
- Problems 76
- Examples 280
- Counterexamples 55
- Objects 107
- Proofs 10
- Computations 1
- Topics 1
Ideas 3151–3300 of 3614.
| Name | Kind | Subject |
|---|---|---|
| Axiom of dependent choice | Definition | Mathematical logic and foundations |
| Reverse mathematics | Definition | Mathematical logic and foundations |
| Pitchfork bifurcation | Definition | Ordinary differential equations |
| Hankel matrix | Definition | Linear and multilinear algebra; matrix theory |
| Gauss sum | Definition | Number theory |
| Gromov–Hausdorff convergence | Definition | Differential geometry |
| Strict hyperbolicity | Definition | Partial differential equations |
| Elimination theory | Definition | Commutative algebra |
| Initial algebra | Definition | Category theory; homological algebra |
| Logicism | Definition | Mathematical logic and foundations |
| Robinson arithmetic | Definition | Mathematical logic and foundations |
| Orientability | Definition | Manifolds and cell complexes |
| Dual pair | Definition | Functional analysis |
| Congruence-permutable variety | Definition | General algebraic systems |
| Torsion tensor | Definition | Differential geometry |
| Quantum logic | Definition | Quantum theory |
| Cyclotomic extension | Definition | Field theory and polynomials |
| Étale fundamental group | Definition | Algebraic geometry |
| Deck transformation group | Definition | Manifolds and cell complexes |
| Čech cohomology | Definition | Algebraic topology |
| Riemann zeta function | Definition | Number theory |
| Link | Definition | Manifolds and cell complexes |
| Von Neumann–Bernays–Gödel set theory | Definition | Mathematical logic and foundations |
| Subdirectly irreducible algebra | Definition | General algebraic systems |
| Gaussian binomial coefficient | Definition | Combinatorics |
| Simplicial object | Definition | Category theory; homological algebra |
| Primary ideal | Definition | Commutative algebra |
| Radical ideal | Definition | Commutative algebra |
| Clifford–Klein form | Definition | Manifolds and cell complexes |
| Radical of a module | Definition | Associative rings and algebras |
| Compact-open topology | Definition | General topology |
| Auslander–Reiten quiver | Definition | Associative rings and algebras |
| Mapping cylinder | Definition | Algebraic topology |
| Genus | Definition | Manifolds and cell complexes |
| Term algebra | Definition | General algebraic systems |
| Singular values of a compact operator | Definition | Operator theory |
| Mapping cone | Definition | Category theory; homological algebra |
| No small subgroups | Definition | Topological groups, Lie groups |
| Solvable Lie group | Definition | Topological groups, Lie groups |
| Lattice congruence | Definition | Order, lattices, ordered algebraic structures |
| Interpolation space | Definition | Functional analysis |
| Exponential stability | Definition | Ordinary differential equations |
| Length of a module | Definition | Commutative algebra |
| Abelian differential | Definition | Functions of a complex variable |
| Krull topology | Definition | Field theory and polynomials |
| Perfect closure | Definition | Field theory and polynomials |
| Stone-type duality for varieties | Definition | General algebraic systems |
| Sullivan minimal model | Definition | Algebraic topology |
| Connection on a vector bundle | Definition | Differential geometry |
| Term evaluation | Definition | General algebraic systems |
| Type | Definition | Mathematical logic and foundations |
| Profinite group | Definition | Group theory and generalizations |
| Direct method in the calculus of variations | Definition | Calculus of variations and optimal control; optimization |
| Morita duality | Definition | Associative rings and algebras |
| Banach manifold | Definition | Global analysis, analysis on manifolds |
| Universal property | Definition | Category theory; homological algebra |
| BK-space | Definition | Functional analysis |
| Markov kernel | Definition | Probability theory and stochastic processes |
| Residually small variety | Definition | General algebraic systems |
| Betti number | Definition | Algebraic topology |
| Method of characteristics | Definition | Partial differential equations |
| Asymptotic analysis | Definition | Approximations and expansions |
| Day terms | Definition | General algebraic systems |
| Rational homotopy theory | Definition | Algebraic topology |
| Perfect graph | Definition | Combinatorics |
| Complete Boolean algebra | Definition | Order, lattices, ordered algebraic structures |
| Ultraproduct | Definition | Mathematical logic and foundations |
| Bockstein homomorphism | Definition | Algebraic topology |
| Smooth structure | Definition | Manifolds and cell complexes |
| Measure with density | Definition | Measure and integration |
| Huntington's axioms | Definition | Order, lattices, ordered algebraic structures |
| Artinian module | Definition | Associative rings and algebras |
| Opposite ring | Definition | Associative rings and algebras |
| Graph embedding | Definition | Combinatorics |
| Torsion submodule | Definition | Commutative algebra |
| Reductive group | Definition | Group theory and generalizations |
| Volterra integral equation | Definition | Integral equations |
| Heat equation | Definition | Partial differential equations |
| Irreducible representation | Definition | Group theory and generalizations |
| Densely defined operator | Definition | Operator theory |
| Extreme point | Definition | Functional analysis |
| Conjugate points | Definition | Differential geometry |
| Algebraic stack | Definition | Algebraic geometry |
| Proj construction | Definition | Algebraic geometry |
| Annihilator | Definition | Commutative algebra |
| Torsion-free group | Definition | Group theory and generalizations |
| Periodic solution | Definition | Ordinary differential equations |
| Sheaf cohomology in topology | Definition | Algebraic topology |
| Polish space | Definition | General topology |
| Entourage | Definition | General topology |
| Grunsky matrix | Definition | Functions of a complex variable |
| Normalization | Definition | Algebraic geometry |
| Tensor algebra | Definition | Linear and multilinear algebra; matrix theory |
| Limit | Definition | Category theory; homological algebra |
| Empirical process | Definition | Probability theory and stochastic processes |
| Exponential type | Definition | Functions of a complex variable |
| Holonomy | Definition | Differential geometry |
| Comma category | Definition | Category theory; homological algebra |
| Strong operator topology | Definition | Operator theory |
| Stable distribution | Definition | Probability theory and stochastic processes |
| Hausdorff dimension | Definition | Measure and integration |
| Function field of a variety | Definition | Algebraic geometry |
| Transfer homomorphism | Definition | Group theory and generalizations |
| Pseudoanalytic function | Definition | Functions of a complex variable |
| Ehresmann connection | Definition | Differential geometry |
| Boolean product | Definition | General algebraic systems |
| Quasi-compact morphism | Definition | Algebraic geometry |
| Helmholtz equation | Definition | Partial differential equations |
| Nonassociative ring | Definition | Nonassociative rings and algebras |
| Cup product | Definition | Algebraic topology |
| Poisson kernel | Definition | Potential theory |
| Coproduct | Definition | Category theory; homological algebra |
| Properly discontinuous action | Definition | Manifolds and cell complexes |
| Finitely generated algebra | Definition | General algebraic systems |
| Dunford–Pettis property | Definition | Functional analysis |
| Exceptional collection | Definition | Algebraic geometry |
| Matrix norm | Definition | Linear and multilinear algebra; matrix theory |
| Class | Definition | Mathematical logic and foundations |
| Split exact sequence | Definition | Category theory; homological algebra |
| Symplectic vector space | Definition | Linear and multilinear algebra; matrix theory |
| Zero-dimensional space | Definition | General topology |
| Euler summation | Definition | Sequences, series, summability |
| Prüfer domain | Definition | Commutative algebra |
| Turing machine | Definition | Mathematical logic and foundations |
| Composition operator | Definition | Operator theory |
| Quaternion-Kähler manifold | Definition | Differential geometry |
| Schrödinger operator | Definition | Ordinary differential equations |
| Chow group | Definition | Algebraic geometry |
| Unary operation | Definition | General algebraic systems |
| Weak derivative | Definition | Functional analysis |
| Term operation | Definition | General algebraic systems |
| Completely distributive lattice | Definition | Order, lattices, ordered algebraic structures |
| Hamiltonian vector field | Definition | Differential geometry |
| Enumerative geometry | Definition | Algebraic geometry |
| Stopping time | Definition | Probability theory and stochastic processes |
| Néron model | Definition | Algebraic geometry |
| Sieve | Definition | Category theory; homological algebra |
| de Rham cohomology | Definition | Global analysis, analysis on manifolds |
| Sidon set | Definition | Number theory |
| Eilenberg–MacLane space | Definition | Algebraic topology |
| Hyperbolic conservation law | Definition | Partial differential equations |
| Commutator theory | Definition | General algebraic systems |
| Smooth manifold | Definition | Global analysis, analysis on manifolds |
| Axiom of determinacy | Definition | Mathematical logic and foundations |
| Hyperelliptic curve | Definition | Algebraic geometry |
| Invariant basis number | Definition | Associative rings and algebras |
| Complex multiplication | Definition | Number theory |
| Azumaya algebra | Definition | Associative rings and algebras |
| Weyl tensor | Definition | Differential geometry |
| Outer measure | Definition | Measure and integration |