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Mathematics Subject Classification – MSC2020
03XX
Mathematical logic and foundations
121162
03Exx
Set theory
27579
03E02
Partition relations
317
03E04
Ordered sets and their cofinalities; pcf theory
249
03E05
Other combinatorial set theory
2798
03E10
Ordinal and cardinal numbers
1030
03E15
Descriptive set theory
[See also
28A05
,
54H05
]
3089
03E17
Cardinal characteristics of the continuum
554
03E20
Other classical set theory (including functions, relations, and set algebra)
1521
03E25
Axiom of choice and related propositions
1261
03E30
Axiomatics of classical set theory and its fragments
823
03E35
Consistency and independence results
3996
03E40
Other aspects of forcing and Booleanvalued models
888
03E45
Inner models, including constructibility, ordinal definability, and core models
903
03E47
Other notions of settheoretic definability
71
03E50
Continuum hypothesis and Martin’s axiom
[See also
03E57
]
1456
03E55
Large cardinals
2330
03E57
Generic absoluteness and forcing axioms
[See also
03E50
]
122
03E60
Determinacy principles
567
03E65
Other settheoretic hypotheses and axioms
405
03E70
Nonclassical and secondorder set theories
1309
03E72
Theory of fuzzy sets, etc.
11140
03E75
Applications of set theory
704
03E99
None of the above, but in this section
686
11XX
Number theory
155718
11Rxx
Algebraic number theory: global fields
{For complex multiplication, see
11G15
}
21312
11R56
Adèle rings and groups
373
43XX
Abstract harmonic analysis
{For other analysis on topological and Lie groups, see
22Exx
}
18432
43Axx
Abstract harmonic analysis
{For other analysis on topological and Lie groups, see
22Exx
}
17993
43A70
Analysis on specific locally compact and other abelian groups
[See also
11R56
,
22B05
]
635
54XX
General topology
{For the topology of manifolds of all dimensions, see
57Nxx
}
81673
54Bxx
Basic constructions in general topology
8863
54B10
Product spaces in general topology
2373
Overview
00
General and overarching topics; collections
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory; homological algebra
19
\(K\)theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations
35
Partial differential equations
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximations and expansions
42
Harmonic analysis on Euclidean spaces
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
74
Mechanics of deformable solids
76
Fluid mechanics
78
Optics, electromagnetic theory
80
Classical thermodynamics, heat transfer
81
Quantum theory
82
Statistical mechanics, structure of matter
83
Relativity and gravitational theory
85
Astronomy and astrophysics
86
Geophysics
90
Operations research, mathematical programming
91
Game theory, economics, finance, and other social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication theory, circuits
97
Mathematics education
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