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 2851–3000 of 3614.
| Name | Kind | Subject |
|---|---|---|
| Epimorphism | Definition | Category theory; homological algebra |
| Hörmander's condition | Definition | Partial differential equations |
| Sequent calculus | Definition | Mathematical logic and foundations |
| Lagrangian submanifold | Definition | Differential geometry |
| Semiring | Definition | Associative rings and algebras |
| Category theory | Definition | Category theory; homological algebra |
| Pointed space | Definition | Algebraic topology |
| Spinor bundle | Definition | Differential geometry |
| Tridiagonal matrix | Definition | Linear and multilinear algebra; matrix theory |
| Axiom of constructibility | Definition | Mathematical logic and foundations |
| Direct limit of algebras | Definition | General algebraic systems |
| Foundations of mathematics | Definition | Mathematical logic and foundations |
| Semi-local ring | Definition | Commutative algebra |
| Topology of uniform convergence | Definition | General topology |
| Linear extension | Definition | Order, lattices, ordered algebraic structures |
| Grothendieck topology | Definition | Category theory; homological algebra |
| Dehn surgery | Definition | Manifolds and cell complexes |
| Fredholm operator | Definition | Operator theory |
| Cartesian closed category | Definition | Category theory; homological algebra |
| Equational logic | Definition | General algebraic systems |
| Modular lattice | Definition | Order, lattices, ordered algebraic structures |
| Polynomial identity ring | Definition | Associative rings and algebras |
| Sentence | Definition | Mathematical logic and foundations |
| Mutually singular measures | Definition | Measure and integration |
| Near-ring | Definition | Associative rings and algebras |
| Quantum invariant of 3-manifolds | Definition | Manifolds and cell complexes |
| Order (ring theory) | Definition | Associative rings and algebras |
| Alexandrov space | Definition | Differential geometry |
| Tor functor | Definition | Commutative algebra |
| Riesz mean | Definition | Sequences, series, summability |
| Permuting congruences | Definition | General algebraic systems |
| Simple function | Definition | Measure and integration |
| Finitely generated variety | Definition | General algebraic systems |
| Double complex | Definition | Category theory; homological algebra |
| Boundary layer | Definition | Ordinary differential equations |
| Hilbertian field | Definition | Field theory and polynomials |
| Separably generated extension | Definition | Field theory and polynomials |
| Preservation of limits | Definition | Category theory; homological algebra |
| Ring of sets | Definition | Measure and integration |
| Reductive Lie group | Definition | Topological groups, Lie groups |
| Operator theory | Definition | Operator theory |
| Ahlfors theory | Definition | Functions of a complex variable |
| Double-negation translation | Definition | Mathematical logic and foundations |
| Graph minor | Definition | Combinatorics |
| Path space fibration | Definition | Algebraic topology |
| G2 manifold | Definition | Differential geometry |
| Linear algebraic group | Definition | Group theory and generalizations |
| Monoidal functor | Definition | Category theory; homological algebra |
| Generic filter | Definition | Mathematical logic and foundations |
| Singular point of an algebraic variety | Definition | Algebraic geometry |
| Lagrange interpolation | Definition | Approximations and expansions |
| Picard group of a ring | Definition | Commutative algebra |
| Steiner system | Definition | Combinatorics |
| Spectrum of a ring | Definition | Algebraic geometry |
| Left-orderable group | Definition | Group theory and generalizations |
| Cardinal function | Definition | General topology |
| Model category | Definition | Category theory; homological algebra |
| Finite type algebra | Definition | Commutative algebra |
| Identity component | Definition | Topological groups, Lie groups |
| Pseudofunctor | Definition | Category theory; homological algebra |
| Symplectomorphism | Definition | Differential geometry |
| Abstract data type as an algebra | Definition | Computer science |
| Discrete subgroup | Definition | Topological groups, Lie groups |
| Triangulation | Definition | Manifolds and cell complexes |
| Condition number | Definition | Linear and multilinear algebra; matrix theory |
| Gaussian process | Definition | Probability theory and stochastic processes |
| Lyapunov exponent | Definition | Ordinary differential equations |
| Fractional differential equation | Definition | Ordinary differential equations |
| Haken manifold | Definition | Manifolds and cell complexes |
| Packing measure | Definition | Measure and integration |
| Join | Definition | General topology |
| Seifert surface | Definition | Manifolds and cell complexes |
| Categorical theory | Definition | Mathematical logic and foundations |
| Fixed-point property of posets | Definition | Order, lattices, ordered algebraic structures |
| Lattice of equational theories | Definition | General algebraic systems |
| Idempotence | Definition | General algebraic systems |
| MV-algebra | Definition | Order, lattices, ordered algebraic structures |
| Galois representation | Definition | Number theory |
| Lawson topology | Definition | Order, lattices, ordered algebraic structures |
| Normal family | Definition | Functions of a complex variable |
| Spin structure | Definition | Differential geometry |
| Spectral space | Definition | General topology |
| Locally presentable category | Definition | Category theory; homological algebra |
| Wynn's epsilon algorithm | Definition | Numerical analysis |
| Smooth morphism | Definition | Algebraic geometry |
| Reduced scheme | Definition | Algebraic geometry |
| Derivation | Definition | Commutative algebra |
| Simplicial homology | Definition | Algebraic topology |
| Prevariety | Definition | General algebraic systems |
| Dedekind zeta function | Definition | Number theory |
| Hurwitz-stable matrix | Definition | Linear and multilinear algebra; matrix theory |
| Transport equation | Definition | Partial differential equations |
| Aitken's delta-squared process | Definition | Numerical analysis |
| Projective resolution | Definition | Commutative algebra |
| Cauchy–Riemann operator | Definition | Several complex variables and analytic spaces |
| Normal scheme | Definition | Algebraic geometry |
| Permanent | Definition | Linear and multilinear algebra; matrix theory |
| Stochastic ordering | Definition | Probability theory and stochastic processes |
| n-skeleton | Definition | Manifolds and cell complexes |
| Borel subgroup | Definition | Group theory and generalizations |
| Localization of a space | Definition | Algebraic topology |
| Unital magma | Definition | Group theory and generalizations |
| Ordered semigroup | Definition | Order, lattices, ordered algebraic structures |
| Liouvillian function | Definition | Field theory and polynomials |
| Cylinder set measure | Definition | Measure and integration |
| Linking number | Definition | Manifolds and cell complexes |
| Cardinal characteristics of the continuum | Definition | Mathematical logic and foundations |
| Unramified morphism of rings | Definition | Commutative algebra |
| Bimodule | Definition | Associative rings and algebras |
| Wasserstein metric | Definition | Calculus of variations and optimal control; optimization |
| Mori domain | Definition | Commutative algebra |
| Projection-valued measure | Definition | Operator theory |
| Self-avoiding walk | Definition | Statistical mechanics, structure of matter |
| Semiprimary ring | Definition | Associative rings and algebras |
| Relation algebra | Definition | Mathematical logic and foundations |
| Local field | Definition | Number theory |
| Injective module | Definition | Commutative algebra |
| Quantifier elimination | Definition | Mathematical logic and foundations |
| Neumann boundary condition | Definition | Ordinary differential equations |
| Carleson measure | Definition | Functions of a complex variable |
| Approximate derivative | Definition | Real functions |
| Green's relations | Definition | Group theory and generalizations |
| Kähler differentials | Definition | Commutative algebra |
| Hardy–Littlewood circle method | Definition | Number theory |
| Mild solution | Definition | Operator theory |
| Representation of a quiver | Definition | Associative rings and algebras |
| Black–Scholes equation | Definition | Partial differential equations |
| Group representation | Definition | Group theory and generalizations |
| Cylindric algebra | Definition | Mathematical logic and foundations |
| Matrix summability method | Definition | Sequences, series, summability |
| Local homomorphism | Definition | Commutative algebra |
| Tomita–Takesaki theory | Definition | Functional analysis |
| Borel hierarchy | Definition | Mathematical logic and foundations |
| Stereographic projection | Definition | Functions of a complex variable |
| Soliton | Definition | Partial differential equations |
| Finitely complete category | Definition | Category theory; homological algebra |
| Semilattice | Definition | Order, lattices, ordered algebraic structures |
| Spectral theory | Definition | Operator theory |
| Bang–bang control | Definition | Calculus of variations and optimal control; optimization |
| Strictly convex space | Definition | Functional analysis |
| Ring of invariants | Definition | Commutative algebra |
| Borel summation | Definition | Sequences, series, summability |
| Intuitionism | Definition | Mathematical logic and foundations |
| Baire property | Definition | General topology |
| Moduli of algebraic curves | Definition | Algebraic geometry |
| Normal number | Definition | Number theory |
| Integrable function | Definition | Measure and integration |
| Scheme | Definition | Algebraic geometry |
| Equidistribution modulo one | Definition | Number theory |
| Legendrian submanifold | Definition | Differential geometry |