Classification Search Result

Mathematics Subject Classification – MSC2020

57-XX

Manifolds and cell complexes {For complex manifolds, see 32Qxx}

59336

57Nxx

Topological manifolds

11863

57N16

Geometric structures on manifolds of high or arbitrary dimension [See also 57M50]

316

57N17

Topology of topological vector spaces

162

57N20

Topology of infinite-dimensional manifolds [See also 58Bxx]

696

57N25

Shapes (aspects of topological manifolds) [See also 54C56, 55P55, 55Q07]

233

57N30

Engulfing in topological manifolds

57N35

Embeddings and immersions in topological manifolds

830

57N37

Isotopy and pseudo-isotopy

142

57N40

Neighborhoods of submanifolds

110

57N45

Flatness and tameness of topological manifolds

252

57N50

\(S^{n-1}\subset E^n\), Schoenflies problem

113

57N55

Microbundles and block bundles [See also 55R60, 57Q50]

57N60

Cellularity in topological manifolds

283

57N65

Algebraic topology of manifolds

961

57N70

Cobordism and concordance in topological manifolds

293

57N75

General position and transversality

109

57N80

Stratifications in topological manifolds

356

57N99

None of the above, but in this section

342

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

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Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and
abc*	right wildcard
a \| b	logical or
"ab c"	phrase
!ab	logical not
(ab c)	parentheses

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview