La Classification Mathématique par matières 2000
Mathematics subject Classification 2000
Question : CC = Dimension
00-XX General
- 00A73 Dimensional analysis
11-XX Number theory
- 11G09 Drinfeld modules; higher-dimensional motives, etc. [See also 14L05]
- 11G10 Abelian varieties of dimension > 1 [See also 14Kxx]
- 11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension [See also 11N99, 28Dxx]
12-XX Field theory and polynomials
- 12G10 Cohomological dimension
13-XX Commutative rings and algebras
- 13C15 Dimension theory, depth, related rings (catenary, etc.)
- 13D05 (Co)homological dimensions [See also 18G20]
- 13E10 Artinian rings and modules, finite-dimensional algebras
14-XX Algebraic geometry
- 14Jxx Surfaces and higher-dimensional varieties [For analytic theory, see 32Jxx]
- 14J50 Automorphisms of surfaces and higher-dimensional varieties [See also 14E07]
- 14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx]
- 14M07 Low codimension problems
- 14Q15 Higher-dimensional varieties
16-XX Associative rings and algebras [For the commutative case, see 13-XX]
- 16D30 Infinite-dimensional simple rings (except as in 16Kxx)
- 16E10 Homological dimension
- 16K20 Finite-dimensional [For crossed products, see 16S35]
- 16K40 Infinite-dimensional and general
- 16P10 Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx]
- 16P60 Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
- 16P90 Growth rate, Gelfand-Kirillov dimension
17-XX Nonassociative rings and algebras
- 17B65 Infinite-dimensional Lie (super)algebras [See also 22E65]
- 17C55 Finite-dimensional structures
18-XX Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]
22-XX Topological groups, Lie groups [For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX]
26-XX Real functions [See also 54C30]
- 26E15 Calculus of functions on infinite-dimensional spaces [See also 46G05, 58Cxx]
- 26E20 Calculus of functions taking values in infinite-dimensional spaces [See also 46E40, 46G10, 58Cxx]
28-XX Measure and integration [For analysis on manifolds, see 58-XX]
- 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [See also 46G12, 58C35, 58D20, 60B11]
31-XX Potential theory [For probabilistic potential theory, see 60J45]
- 31Axx Two-dimensional theory
- 31Bxx Higher-dimensional theory
32-XX Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12]
- 32H30 Value distribution theory in higher dimensions [For function-theoretic properties, see 32A22]
34-XX Ordinary differential equations
- 34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)
35-XX Partial differential equations
- 35R15 Partial differential equations on infinite-dimensional (e.g. function) spaces (=PDE in infinitely many variables) [See also 46Gxx, 58D25]
- 35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) [See also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx]
37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
- 37B50 Multi-dimensional shifts of finite type, tiling dynamics
[Nouveau code MSC 2000]
- 37C45 Dimension theory of dynamical systems
[Nouveau code MSC 2000]
- 37Exx Low-dimensional dynamical systems
- 37F35 Conformal densities and Hausdorff dimension
[Nouveau code MSC 2000]
- 37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx]
- 37Kxx Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx]
- 37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures
[Nouveau code MSC 2000]
- 37K55 Perturbations, KAM for infinite-dimensional systems
[Nouveau code MSC 2000]
- 37Lxx Infinite-dimensional dissipative dynamical systems [See also 35Bxx, 35Qxx]
- 37L30 Attractors and their dimensions, Lyapunov exponents
[Nouveau code MSC 2000]
- Codes MSC1991 affiliés :
34G20, 35B40, 58F12, 58F39
- 37L55 Infinite-dimensional random dynamical systems; stochastic equations [See also 35R60, 60H10, 60H15]
[Nouveau code MSC 2000]
41-XX Approximations and expansions [For all approximation theory in the complex domain, see 30Exx, 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10 and 42A15; for numerical approximation, see 65Dxx]
- 41A63 Multidimensional problems (should also be assigned at least one other classification number in this section)
46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
- 46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces [See also 46G20, 46G25, 47H60]
- 46F25 Distributions on infinite-dimensional spaces [See also 58C35]
- 46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx]
- 46G20 Infinite-dimensional holomorphy [See also 32-XX, 46E50, 46T25, 58B12, 58C10]
- 46T05 Infinite-dimensional manifolds [See also 53Axx, 58Bxx, 58Dxx, 57N20]
[Nouveau code MSC 2000]
52-XX Convex and discrete geometry
- 52A05 Convex sets without dimension restrictions
- 52A10 Convex sets in 2 dimensions (including convex curves) [See also 53A04]
- 52A15 Convex sets in 3 dimensions (including convex surfaces) [See also 53A05, 53C45]
- 52A20 Convex sets in n dimensions (including convex hypersurfaces) [See also 53A07, 53C45]
- 52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx]
- 52B10 Three-dimensional polytopes
- 52B11 n-dimensional polytopes
- 52C05 Lattices and convex bodies in 2 dimensions [See also 11H06, 11H31, 11P21]
- 52C07 Lattices and convex bodies in n dimensions [See also 11H06, 11H31, 11P21]
- 52C15 Packing and covering in 2 dimensions [See also 05B40, 11H31]
- 52C17 Packing and covering in n dimensions [See also 05B40, 11H31]
- 52C20 Tilings in 2 dimensions [See also 05B45, 51M20]
- 52C22 Tilings in n dimensions [See also 05B45, 51M20]
53-XX Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
- 53A07 Higher-dimensional and -codimensional surfaces in Euclidean n-space
54-XX General topology [For the topology of manifolds of all dimensions, see 57Nxx]
- 54F35 Higher-dimensional local connectedness [See also 55Mxx, 55Nxx]
- 54F45 Dimension theory [See also 55M10]
- 54F50 Spaces of dimension <= 1; curves, dendrites [See also 26A03]
55-XX Algebraic topology
57-XX Manifolds and cell complexes [For complex manifolds, see 32Qxx]
- 57Mxx Low-dimensional topology
- 57M20 Two-dimensional complexes
- 57M25 Knots and links in S3 [For higher dimensions, see 57Q45]
- 57M50 Geometric structures on low-dimensional manifolds
- 57M60 Group actions in low dimensions
- 57N20 Topology of infinite-dimensional manifolds [See also 58Bxx]
- 57Q45 Knots and links (in high dimensions) [For the low-dimensional case, see 57M25]
- 57Rxx Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx]
58-XX Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]
- 58Bxx Infinite-dimensional manifolds
- 58B25 Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05]
- 58Exx Variational problems in infinite-dimensional spaces
60-XX Probability theory and stochastic processes [For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX]
- 60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)
70-XX Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX]
- 70E45 Higher-dimensional generalizations
[Nouveau code MSC 2000]
- Codes MSC1991 affiliés :
70E15, 58F05, 58F07
76-XX Fluid mechanics [For general continuum mechanics, see 74Axx, or other parts of 74-XX]
- 76M55 Dimensional analysis and similarity
[Nouveau code MSC 2000]
- Code MSC1991 affilié :
76M99
81-XX Quantum theory
- 81R05 Finite-dimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70]
- 81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70]
- 81T40 Two-dimensional field theories, conformal field theories, etc.
83-XX Relativity and gravitational theory
- 83C80 Analogues in lower dimensions
[Nouveau code MSC 2000]
- 83Exx Unified, higher-dimensional and super field theories
- 83E15 Kaluza-Klein and other higher-dimensional theories
91-XX Game theory, economics, social and behavioral sciences
- 91C15 One- and multidimensional scaling
[Nouveau code MSC 2000]
- Code MSC1991 affilié :
92G15
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