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Mathematics Subject Classification – MSC2020
57XX
Manifolds and cell complexes
{For complex manifolds, see
32Qxx
}
54510
57Nxx
Topological manifolds
11601
57N16
Geometric structures on manifolds of high or arbitrary dimension
[See also
57M50
]
265
57N17
Topology of topological vector spaces
151
57N20
Topology of infinitedimensional manifolds
[See also
58Bxx
]
680
57N25
Shapes (aspects of topological manifolds)
[See also
54C56
,
55P55
,
55Q07
]
226
57N30
Engulfing in topological manifolds
47
57N35
Embeddings and immersions in topological manifolds
791
57N37
Isotopy and pseudoisotopy
137
57N40
Neighborhoods of submanifolds
105
57N45
Flatness and tameness of topological manifolds
239
57N50
\(S^{n1}\subset E^n\), Schoenflies problem
113
57N55
Microbundles and block bundles
[See also
55R60
,
57Q50
]
71
57N60
Cellularity in topological manifolds
275
57N65
Algebraic topology of manifolds
888
57N70
Cobordism and concordance in topological manifolds
261
57N75
General position and transversality
100
57N80
Stratifications in topological manifolds
327
57N99
None of the above, but in this section
326
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
W3C
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