Every idea

Ideas 9151–9300 of 10181.

Name	Kind	Subject
Cyclic extension	Concept	Field theory and polynomials
Complete Boolean algebra	Definition	Order, lattices, ordered algebraic structures
Ultraproduct	Definition	Mathematical logic and foundations
Bockstein homomorphism	Definition	Algebraic topology
The odd integers are not a subgroup of the integers	Example	Group theory and generalizations
Signed measure	Concept	Measure and integration
Smooth structure	Definition	Manifolds and cell complexes
Pseudo-arc	Example	General topology
Surface	Concept	Manifolds and cell complexes
Measure with density	Definition	Measure and integration
Stone-type duality for varieties	Concept	General algebraic systems
Huntington's axioms	Definition	Order, lattices, ordered algebraic structures
List coloring	Concept	Combinatorics
Galois' theorem on solvability	Theorem	Field theory and polynomials
Algebraic set	Concept	Algebraic geometry
f-ring	Concept	Order, lattices, ordered algebraic structures
Fourier transform on locally compact abelian groups	Concept	Abstract harmonic analysis
Artinian module	Definition	Associative rings and algebras
Lindeberg's condition	Concept	Probability theory and stochastic processes
Risch algorithm	Concept	Computer science
Zeta function regularization	Concept	Number theory
Opposite ring	Definition	Associative rings and algebras
Köthe–Toeplitz dual	Concept	Functional analysis
Hom functor	Concept	Category theory; homological algebra
Graph embedding	Definition	Combinatorics
Bing–Borsuk conjecture	Conjecture	Manifolds and cell complexes
Perfectly normal space	Concept	General topology
Thompson groups	Object	Group theory and generalizations
Torsion submodule	Definition	Commutative algebra
Reductive group	Definition	Group theory and generalizations
Submanifold	Concept	Global analysis, analysis on manifolds
Volterra integral equation	Definition	Integral equations
Azumaya algebra	Concept	Associative rings and algebras
Closed operator	Concept	Operator theory
Heat equation	Definition	Partial differential equations
Irreducible representation	Definition	Group theory and generalizations
Fuchsian group	Concept	Group theory and generalizations
Horseshoe lemma	Lemma	Category theory; homological algebra
Densely defined operator	Definition	Operator theory
Extreme point	Definition	Functional analysis
Algebraic stack	Concept	Algebraic geometry
Conjugate points	Definition	Differential geometry
Algebraic stack	Definition	Algebraic geometry
Heat equation	Concept	Partial differential equations
Bernstein–Kushnirenko theorem	Theorem	Algebraic geometry
Infinitesimal generator of a Markov process	Concept	Probability theory and stochastic processes
Algebraic combinatorics	Concept	Combinatorics
Proj construction	Definition	Algebraic geometry
Annihilator	Definition	Commutative algebra
Torsion-free group	Definition	Group theory and generalizations
Slice theorem	Theorem	Manifolds and cell complexes
Twenty-seven lines on a cubic surface	Theorem	Algebraic geometry
Chow–Rashevskii theorem	Theorem	Systems theory; control
Null set	Concept	Measure and integration
Kolmogorov–Arnold representation theorem	Theorem	Real functions
Steenrod square	Concept	Algebraic topology
Eigenvalue perturbation	Concept	Linear and multilinear algebra; matrix theory
Periodic solution	Definition	Ordinary differential equations
Uniform integrability	Concept	Measure and integration
Sheaf cohomology in topology	Definition	Algebraic topology
Elliptic surface	Concept	Algebraic geometry
Totally unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Interval order	Concept	Order, lattices, ordered algebraic structures
Polish space	Definition	General topology
Entourage	Definition	General topology
Jónsson's lemma	Theorem	General algebraic systems
Braided monoidal category	Concept	Category theory; homological algebra
Grunsky matrix	Definition	Functions of a complex variable
Normalization	Definition	Algebraic geometry
Cantor algebra	Example	Order, lattices, ordered algebraic structures
Tensor algebra	Definition	Linear and multilinear algebra; matrix theory
Limit	Definition	Category theory; homological algebra
Character sum	Concept	Number theory
Empirical process	Definition	Probability theory and stochastic processes
Amitsur's theorem on the radical of polynomial rings	Theorem	Associative rings and algebras
Perfect field	Concept	Field theory and polynomials
Exponential type	Definition	Functions of a complex variable
Gelfand transform	Concept	Functional analysis
Holonomy	Definition	Differential geometry
Tensor decomposition	Concept	Linear and multilinear algebra; matrix theory
Comma category	Definition	Category theory; homological algebra
Hardy–Littlewood maximal function	Concept	Harmonic analysis on Euclidean spaces
Interpolation space	Concept	Functional analysis
Strong operator topology	Definition	Operator theory
Exact couple	Concept	Algebraic topology
Unknotting problem	Problem	Manifolds and cell complexes
Stable distribution	Definition	Probability theory and stochastic processes
Haar measure	Concept	Measure and integration
Exponential stability	Concept	Ordinary differential equations
Lax–Friedrichs method	Concept	Numerical analysis
Boolean algebras canonically defined	Concept	Order, lattices, ordered algebraic structures
G-structure	Concept	Differential geometry
Hausdorff dimension	Definition	Measure and integration
Macdonald polynomial	Concept	Combinatorics
Graph minor	Concept	Combinatorics
Function field of a variety	Definition	Algebraic geometry
Trefoil knot	Example	Manifolds and cell complexes
Transfer homomorphism	Definition	Group theory and generalizations
Herbrand's theorem	Theorem	Mathematical logic and foundations
Pseudoanalytic function	Definition	Functions of a complex variable
Ehresmann connection	Definition	Differential geometry
Medial magma	Concept	Group theory and generalizations
Boolean product	Definition	General algebraic systems
Germ	Concept	General topology
Quasi-compact morphism	Definition	Algebraic geometry
Lévy's upward theorem	Theorem	Probability theory and stochastic processes
Canonical bundle	Concept	Algebraic geometry
Well-posed problem	Concept	Partial differential equations
Universally closed morphism	Concept	Algebraic geometry
Helmholtz equation	Definition	Partial differential equations
Toyoda–Bruck theorem	Theorem	Group theory and generalizations
Quartic reciprocity	Theorem	Number theory
Free spectrum of a variety	Concept	General algebraic systems
Nonassociative ring	Definition	Nonassociative rings and algebras
Cup product	Definition	Algebraic topology
Completion of a valued field	Concept	Field theory and polynomials
Mackey topology	Concept	Functional analysis
De Finetti's theorem	Theorem	Probability theory and stochastic processes
Poisson kernel	Definition	Potential theory
Doubling measure	Concept	Measure and integration
Coproduct	Definition	Category theory; homological algebra
Properly discontinuous action	Definition	Manifolds and cell complexes
Wreath product	Concept	Group theory and generalizations
Harris inequality	Theorem	Probability theory and stochastic processes
Finitely generated algebra	Definition	General algebraic systems
Feynman–Kac formula	Theorem	Probability theory and stochastic processes
Serre's criterion for normality	Theorem	Commutative algebra
Hopkins–Levitzki theorem	Theorem	Associative rings and algebras
Dunford–Pettis property	Definition	Functional analysis
Gelfand pair	Concept	Abstract harmonic analysis
Exceptional collection	Definition	Algebraic geometry
Consistency of summability methods	Concept	Sequences, series, summability
Matrix norm	Definition	Linear and multilinear algebra; matrix theory
Elementary theory of the category of sets	Concept	Category theory; homological algebra
Proof of Lagrange's theorem	Proof	Group theory and generalizations
Coherent ring	Concept	Commutative algebra
Class	Definition	Mathematical logic and foundations
Cellular homology	Concept	Algebraic topology
Split exact sequence	Definition	Category theory; homological algebra
Reeb foliation	Example	Manifolds and cell complexes
Packing measure	Concept	Measure and integration
Lusternik–Schnirelmann category	Concept	Algebraic topology
Balog–Szemerédi–Gowers theorem	Theorem	Number theory
Canonical module	Concept	Commutative algebra
Symplectic vector space	Definition	Linear and multilinear algebra; matrix theory
Zero-dimensional space	Definition	General topology
Natural duality	Concept	General algebraic systems
Cofibration	Concept	Algebraic topology
Existence of transcendence bases	Theorem	Field theory and polynomials
Five lemma	Lemma	Category theory; homological algebra