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 2701–2850 of 3614.
| Name | Kind | Subject |
|---|---|---|
| Localization at a prime ideal | Definition | Commutative algebra |
| Nest algebra | Definition | Operator theory |
| Boltzmann equation | Definition | Partial differential equations |
| Minimal prime ideal | Definition | Commutative algebra |
| Combinatorics on words | Definition | Computer science |
| Depth | Definition | Commutative algebra |
| Adjoint of an unbounded operator | Definition | Operator theory |
| Fréchet space | Definition | Functional analysis |
| Stanley–Reisner ring | Definition | Commutative algebra |
| Sober space | Definition | General topology |
| Idempotent semiring | Definition | Associative rings and algebras |
| Infinitesimal generator of a Markov process | Definition | Probability theory and stochastic processes |
| Distribution function of a measurable function | Definition | Measure and integration |
| Tate module | Definition | Algebraic geometry |
| Euler class | Definition | Manifolds and cell complexes |
| Operator system | Definition | Functional analysis |
| Lindelöf summation | Definition | Sequences, series, summability |
| Petersson inner product | Definition | Number theory |
| Algebraic cycle | Definition | Algebraic geometry |
| Incidence algebra | Definition | Order, lattices, ordered algebraic structures |
| Completely positive map | Definition | Functional analysis |
| Premeasure | Definition | Measure and integration |
| Intersection form | Definition | Manifolds and cell complexes |
| Discriminant of a number field | Definition | Number theory |
| Umbilical point | Definition | Differential geometry |
| Krylov–Bogolyubov averaging | Definition | Ordinary differential equations |
| Essential spectrum | Definition | Operator theory |
| Heegner point | Definition | Number theory |
| Surgery theory | Definition | Manifolds and cell complexes |
| Itô calculus | Definition | Probability theory and stochastic processes |
| Ordinal sum of posets | Definition | Order, lattices, ordered algebraic structures |
| Complete theory | Definition | Mathematical logic and foundations |
| Completion of a normed space | Definition | Functional analysis |
| Pullback | Definition | Category theory; homological algebra |
| Topology generated by a family of seminorms | Definition | Functional analysis |
| Infinite Galois theory | Definition | Field theory and polynomials |
| GCD domain | Definition | Commutative algebra |
| Infinitely divisible distribution | Definition | Probability theory and stochastic processes |
| Uniform module | Definition | Associative rings and algebras |
| Completion of a ring | Definition | Commutative algebra |
| Symmetric function | Definition | Combinatorics |
| Functor of points | Definition | Algebraic geometry |
| Resonance | Definition | Ordinary differential equations |
| Cofinality | Definition | Mathematical logic and foundations |
| Stopped process | Definition | Probability theory and stochastic processes |
| Fundamental group | Definition | Algebraic topology |
| Kirillov orbit method | Definition | Topological groups, Lie groups |
| Crossed product | Definition | Functional analysis |
| Brown–Peterson cohomology | Definition | Algebraic topology |
| Transcendence degree | Definition | Field theory and polynomials |
| Korteweg–De Vries equation | Definition | Partial differential equations |
| Weak equivalence | Definition | Category theory; homological algebra |
| Zero morphism | Definition | Category theory; homological algebra |
| Rational point | Definition | Algebraic geometry |
| Frobenius element | Definition | Number theory |
| Enumerative combinatorics | Definition | Combinatorics |
| Almost complex manifold | Definition | Differential geometry |
| Groupoid | Definition | Group theory and generalizations |
| Universal class | Definition | Mathematical logic and foundations |
| Gaussian measure | Definition | Measure and integration |
| Projective hierarchy | Definition | Mathematical logic and foundations |
| Closed operator | Definition | Operator theory |
| Adele ring | Definition | Number theory |
| Friedrichs extension | Definition | Operator theory |
| Matrix congruence | Definition | Linear and multilinear algebra; matrix theory |
| Symplectic integrator | Definition | Numerical analysis |
| Coalgebra | Definition | Associative rings and algebras |
| Additive combinatorics | Definition | Number theory |
| Nerve of a cover | Definition | Algebraic topology |
| Splitting field of a central simple algebra | Definition | Associative rings and algebras |
| Operator monotone function | Definition | Operator theory |
| Pseudo algebraically closed field | Definition | Field theory and polynomials |
| Surface | Definition | Manifolds and cell complexes |
| Burgers' equation | Definition | Partial differential equations |
| Zassenhaus neighbourhood | Definition | Topological groups, Lie groups |
| Topological group | Definition | Topological groups, Lie groups |
| Chain complex | Definition | Category theory; homological algebra |
| Algebraic K-theory of schemes | Definition | K-theory |
| Parallel transport | Definition | Differential geometry |
| Train track | Definition | Manifolds and cell complexes |
| Cartan–Eilenberg resolution | Definition | Category theory; homological algebra |
| Differential graded algebra | Definition | Associative rings and algebras |
| Positive operator | Definition | Operator theory |
| Nilpotent operator | Definition | Operator theory |
| Group homology | Definition | Group theory and generalizations |
| Developable surface | Definition | Differential geometry |
| Laplace–Beltrami operator | Definition | Global analysis, analysis on manifolds |
| Natural deduction | Definition | Mathematical logic and foundations |
| Pseudo-element | Definition | Category theory; homological algebra |
| Discrete spectrum | Definition | Operator theory |
| Choquet theory | Definition | Functional analysis |
| Well-quasi-ordering | Definition | Order, lattices, ordered algebraic structures |
| Derived category | Definition | Category theory; homological algebra |
| Multiplicative set | Definition | Commutative algebra |
| Levi-Civita connection | Definition | Differential geometry |
| State on a C*-algebra | Definition | Functional analysis |
| Commutative algebra over a ring | Definition | Commutative algebra |
| Residual set | Definition | General topology |
| Laguerre–Pólya class | Definition | Functions of a complex variable |
| Gateaux derivative | Definition | Functional analysis |
| Absolute summability | Definition | Sequences, series, summability |
| Wave front set | Definition | Partial differential equations |
| Contraction semigroup | Definition | Operator theory |
| Modular function | Definition | Topological groups, Lie groups |
| Homotopy group | Definition | Algebraic topology |
| Amenable group | Definition | Abstract harmonic analysis |
| Quasicircle | Definition | Functions of a complex variable |
| Mahlo cardinal | Definition | Mathematical logic and foundations |
| Universal Horn class | Definition | Mathematical logic and foundations |
| Motzkin number | Definition | Combinatorics |
| Measurable function | Definition | Measure and integration |
| Lifting idempotents | Definition | Associative rings and algebras |
| Semihereditary ring | Definition | Associative rings and algebras |
| Sub-Gaussian distribution | Definition | Probability theory and stochastic processes |
| Crossed product algebra | Definition | Associative rings and algebras |
| Quasisymmetric map | Definition | Functions of a complex variable |
| Noetherian module | Definition | Commutative algebra |
| Faithful module | Definition | Associative rings and algebras |
| Slice knot | Definition | Manifolds and cell complexes |
| Cole–Hopf transformation | Definition | Partial differential equations |
| Reproducing kernel Hilbert space | Definition | Functional analysis |
| Classical group | Definition | Group theory and generalizations |
| Pro-object | Definition | Category theory; homological algebra |
| Binary quadratic form | Definition | Number theory |
| Separation of variables | Definition | Ordinary differential equations |
| Biharmonic equation | Definition | Potential theory |
| Subobject classifier | Definition | Category theory; homological algebra |
| Paratopological group | Definition | Topological groups, Lie groups |
| Basic open set | Definition | Algebraic geometry |
| Beurling–Ahlfors transform | Definition | Harmonic analysis on Euclidean spaces |
| Riemannian distance | Definition | Differential geometry |
| Fractional Brownian motion | Definition | Probability theory and stochastic processes |
| Quasi-coherent sheaf | Definition | Algebraic geometry |
| Killing vector field | Definition | Differential geometry |
| Partial differential equation | Definition | Partial differential equations |
| Matroid | Definition | Combinatorics |
| Small cancellation theory | Definition | Group theory and generalizations |
| Antipode | Definition | Associative rings and algebras |
| Signature | Definition | Mathematical logic and foundations |
| Grothendieck universe | Definition | Mathematical logic and foundations |
| Cyclic extension | Definition | Field theory and polynomials |
| Atlas | Definition | Manifolds and cell complexes |
| Countable additivity | Definition | Measure and integration |
| Uniformly convex space | Definition | Functional analysis |
| Normal function | Definition | Mathematical logic and foundations |
| Morley rank | Definition | Mathematical logic and foundations |
| Universally catenary ring | Definition | Commutative algebra |
| Hilbert space | Definition | Functional analysis |
| One-relator group | Definition | Group theory and generalizations |
| Relational clone | Definition | General algebraic systems |