HelioWebPure mathematics
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AA["Associated Authors (95)"]
C[Pure mathematics]
BC["Broader Concepts (1)"]
NC["Narrower Concepts (397)"]
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NC== skos:broader ==>C
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click BC "#broader-concepts"
click NC "#narrower-concepts"
click AA "#associated-authors"
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- Wikidata
- https://www.wikidata.org/wiki/Q837863
- OpenAlex ID
- https://openalex.org/C202444582 (API record)
- OpenAlex Description
- mathematics which studies entirely abstract concepts
- OpenAlex Level [?]
- 1
Broader Concepts
Narrower Concepts
- 3-manifold
- Abelian and tauberian theorems
- Abelian group
- Absolute continuity
- Addition theorem
- Adjunction
- Affine transformation
- Algebra over a field
- Algebraic curve
- Algebraic geometry
- Algebraic number field
- Algebraic properties
- Algebraic structure
- Algebraically closed field
- Almost everywhere
- Almost periodic function
- Ambient space
- Ample line bundle
- Analytic function
- Analytic number theory
- Associative property
- Atiyah–Singer index theorem
- Automorphic form
- Automorphism
- Backslash
- Baire category theorem
- Baire measure
- Baire space
- Banach space
- Base change
- Bell polynomials
- Bergman kernel
- Bernoulli number
- Bernstein polynomial
- Betti number
- Bilinear form
- Birational geometry
- Blaschke product
- Blowing up
- Borel set
- Bounded variation
- Braid group
- Brauer group
- Calabi–Yau manifold
- Canonical bundle
- Canonical form
- Cantor set
- Cartesian closed category
- Categorification
- Category theory
- Cauchy sequence
- Cauchy–Riemann equations
- Centralizer and normalizer
- Chern class
- Christoffel symbols
- Closed set
- Cobordism
- Codimension
- Coherent sheaf
- Cohomology
- Commensurability (mathematics)
- Commutative algebra
- Commutative property
- Compact space
- Compactification (mathematics)
- Comparison theorem
- Complete intersection
- Complex dimension
- Complexification
- Congruence relation
- Congruence subgroup
- Conjecture
- Conjugacy class
- Conjugate points
- Continuous linear operator
- Continuous map
- Contractible space
- Coproduct
- Corollary
- Countable set
- Covariance and contravariance of vectors
- Covariant derivative
- Covering space
- Coxeter group
- Cross-ratio
- Cubic surface
- Cyclotomic field
- Decomposition theorem
- Dedekind cut
- Deformation theory
- Diffeomorphism
- Differentiable function
- Differential algebra
- Differential calculus
- Differential form
- Differential geometry
- Differential operator
- Dimension (graph theory)
- Diophantine equation
- Dirac operator
- Direct limit
- Direct product
- Direct proof
- Discrete valuation ring
- Discrete variable
- Disjoint union (topology)
- Distributive property
- Divided differences
- Divisibility rule
- Divisor (algebraic geometry)
- Double groupoid
- Dual polyhedron
- Dual space
- Duality (order theory)
- Elementary proof
- Elliptic curve
- Elliptic operator
- Endomorphism
- Entire function
- Epimorphism
- Equicontinuity
- Equivalence (formal languages)
- Equivalence class (music)
- Equivalence relation
- Equivariant map
- Ergodic theory
- Euclidean space
- Euler characteristic
- Exact sequence
- Existence theorem
- Explicit formulae
- Faithful representation
- Fano plane
- Fermat's Last Theorem
- Fibered knot
- Field (mathematics)
- Filtration (mathematics)
- Finitary
- Finitely-generated abelian group
- Fixed-point theorem
- Formal group
- Fredholm determinant
- Free probability
- Frobenius group
- Fubini's theorem
- Fuchsian group
- Function space
- Functional calculus
- Functor
- Fundamental group
- Galois connection
- Galois group
- Galois module
- Galois theory
- Gamma function
- Gauss map
- Gauss sum
- Generalized function
- Geometry and topology
- Global dimension
- Global field
- Grassmannian
- Group theory
- Haar measure
- Hardy space
- Harmonic function
- Harmonic map
- Harnack's inequality
- Hausdorff dimension
- Hausdorff space
- Heisenberg group
- Hermite polynomials
- Hermitian matrix
- Hilbert scheme
- Hilbert space
- Hilbert's syzygy theorem
- Hilbert–Poincaré series
- Holomorphic function
- Holonomy
- Homogeneous coordinates
- Homomorphism
- Homotopy
- Hopf fibration
- Hyperbolic set
- Hyperbolic space
- Hypergeometric distribution
- Hypergeometric function
- Hyperspace
- Hypersurface
- Hölder condition
- Idempotence
- Identity function
- Immersion (mathematics)
- Indecomposable module
- Indeterminate
- Infinite divisibility
- Infinite product
- Injective function
- Inner product space
- Integrable system
- Integral geometry
- Invariant manifold
- Inverse limit
- Invertible matrix
- Irreducibility
- Irreducible representation
- Isometry (Riemannian geometry)
- Isometry group
- Isomorphism theorem
- Isoperimetric inequality
- Isospectral
- Isotopy
- Jacobi elliptic functions
- Jordan curve theorem
- Julia set
- Kernel (algebra)
- Killing vector field
- Kleinian group
- Kloosterman sum
- Kodaira dimension
- Kähler manifold
- Lacunary function
- Lagrangian
- Laguerre polynomials
- Laurent polynomial
- Laurent series
- Lebesgue integration
- Lens space
- Lie algebra
- Lie group
- Line bundle
- Linear map
- Linear span
- Linear subspace
- Lipschitz continuity
- Local property
- Local system
- Locally compact space
- Logarithmic derivative
- Loop space
- M. Riesz extension theorem
- Mathematics Subject Classification
- Maximal function
- Meromorphic function
- Metric space
- Minimal models
- Minimal surface
- Mirror symmetry
- Modular form
- Modular group
- Modulation space
- Moduli space
- Monge–Ampère equation
- Monodromy
- Monoid
- Monoidal category
- Monomial
- Morita equivalence
- Morita therapy
- Morphism
- Morse theory
- Multilinear map
- Möbius function
- Neumann series
- Newton polygon
- Nilpotent
- Nirenberg and Matthaei experiment
- Noncommutative geometry
- Normed vector space
- Novikov self-consistency principle
- Number theory
- Numerical range
- Open set
- Operator algebra
- Operator matrix
- Operator theory
- Orbifold
- Ordered field
- Orthogonal group
- Orthogonal polynomials
- Parallel transport
- Perfect field
- Periodic point
- Permutable prime
- Pfaffian
- Plane curve
- Poincaré conjecture
- Poincaré series
- Poisson kernel
- Projective test
- Projective variety
- Pseudodifferential operators
- Pullback
- Quadric
- Quartic function
- Quasi-open map
- Quasiconformal mapping
- Quasigroup
- Quiver
- Quotient
- Ramanujan's sum
- Ramification
- Rational function
- Rational number
- Real-valued function
- Reciprocity law
- Regular cardinal
- Representation theorem
- Representation theory
- Resolvent
- Retract
- Riemann hypothesis
- Riemann surface
- Riemann zeta function
- Riemannian geometry
- Riemannian manifold
- Riesz potential
- Riesz representation theorem
- Riesz transform
- S function
- SL2(R)
- Schubert polynomial
- Schubert variety
- Schwarzian derivative
- Semigroup
- Semiring
- Sheaf
- Simplicial complex
- Simply connected space
- Skein
- Sobolev space
- Special functions
- Spectral geometry
- Spectral measure
- Spectral space
- Square-integrable function
- Stable manifold
- Standard basis
- Standard probability space
- Star product
- Stiefel manifold
- Stirling number
- Stirling numbers of the second kind
- Structure constants
- Structured program theorem
- Subcategory
- Submanifold
- Subshift of finite type
- Summation by parts
- Supermanifold
- Surjective function
- Symbolic dynamics
- Symmetric function
- Symmetric group
- Symmetric space
- Symplectic geometry
- Tangent space
- Tangle
- Tensor (intrinsic definition)
- Tensor product
- Theta function
- Toeplitz matrix
- Topological complexity
- Topological conjugacy
- Topological entropy
- Topological quantum field theory
- Topological space
- Toric variety
- Totally geodesic
- Transfer operator
- Transfinite number
- Transformation group
- Transversality
- Triality
- Trigonometric series
- Triple product
- Triple system
- Triviality
- Tropical geometry
- Twistor theory
- Ultraproduct
- Uniform limit theorem
- Unimodular matrix
- Unipotent
- Unit disk
- Unit sphere
- Upper half-plane
- Vector bundle
- Vector space
- Vector-valued function
- Von Neumann architecture
- Weierstrass functions
- Weyl group
- Wronskian
- Young tableau
- Zero divisor
- Zero set
Associated Authors
- A. I. Neishtadt
- Alain Plattner
- Alex Furman
- Andrew Alt
- Andrés García
- Andrés Viña
- Ariel Stein
- Armin Schwartzman
- Arnaud Chulliat
- Axel Osses
- B. Langlais
- Benjamin Schwarz
- Brian Greene
- Cassandra Nickles
- Catherine Constable
- Chandan Pradhan
- Christopher L. Atchison
- Ciarán Beggan
- Clodoaldo Grotta Ragazzo
- Cristina G. Wilson
- Daniele Thallner
- Donsub Rim
- E. Romashets
- Elena Marshalko
- Erwan Thébault
- F. J. Beron-Vera
- Felicia Nurindrawati
- Foteini Vervelidou
- G. Cromwell
- G. K. Stephens
- Giuseppe Torri
- Guillaume Bonnet
- Gustau Camps‐Valls
- Haizhao Yang
- Heather L. Petcovic
- Honghu Liu
- Ignacio Pisso
- Ishir Dutta
- J. M. Torta
- Jeffrey Obelcz
- Jezabel Curbelo
- Jiangtao Liu
- Joeri Brackenhoff
- Jonah Shaw
- Jonathan Hickman
- Jonathan Jara-Almonte
- José M.G. Merayo
- K. Moore
- Kathryn Lawson
- Kazuyuki Saitô
- Kelly Best Lazar
- Kung Ching Chang
- Lauren Grimley
- Loïc Viens
- Luis Gomez Casajus
- M. J. Olascoaga
- Mahmoud E. Yousif
- Maisie F. Rashman
- Matthew Bromley
- Matthew S. Spydell
- Maximilian Arthus Schanner
- Michael Murböck
- Michael W. Davis
- Mickaël D. Chekroun
- Mikhail Kruglyakov
- Mohammad Afzal Shadab
- Monika Korte
- Nathaniel H. Mathews
- Nicholas P. Foukal
- Nikolas Aksamit
- Nils Olsen
- Oliver Allanson
- P. Miron
- Paula Pérez-Brunius
- Qingkai Kong
- Rick Lumpkin
- Rodrigo Duran
- S. P. Joy
- Sanja Panovska
- Shaun Field
- Shuang Wang
- Sudhanshu Kumar
- Sujan Pal
- T. Neukirch
- Tadd Bindas
- Takayuki Oda
- Terence J. Sabaka
- Theodore Broeren
- Thomas Gruber
- Tibebu Getachew
- V. Ledvina
- X. Cao
- Zade Johnston
- Zhe Yang
- Zhencai Shen
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