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Mathematics Subject Classification – MSC2010
57XX
Manifolds and cell complexes
[For complex manifolds, see
32Qxx
]
51156
57Txx
Homology and homotopy of topological groups and related structures
2130
57T05
Hopf algebras
[See also
16T05
]
398
57T10
Homology and cohomology of Lie groups
427
57T15
Homology and cohomology of homogeneous spaces of Lie groups
508
57T20
Homotopy groups of topological groups and homogeneous spaces
293
57T25
Homology and cohomology of $H$spaces
213
57T30
Bar and cobar constructions
[See also
18G55
,
55Uxx
]
159
57T35
Applications of EilenbergMoore spectral sequences
[See also
55R20
,
55T20
]
87
57T99
None of the above, but in this section
263
Overview
00
General mathematics
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
Approximation 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, social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication, circuits
97
Mathematics education
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