Classification Search Result

Mathematics Subject Classification – MSC2020

32-XX

Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see also 46G20, 58B12}

56147

32Cxx

Analytic spaces

5254

32C05

Real-analytic manifolds, real-analytic spaces [See also 14Pxx, 58A07]

711

32C07

Real-analytic sets, complex Nash functions [See also 14P15, 14P20]

122

32C09

Embedding of real-analytic manifolds

32C11

Complex supergeometry [See also 14A22, 14M30, 58A50]

209

32C15

Complex spaces

589

32C18

Topology of analytic spaces

136

32C20

Normal analytic spaces

152

32C22

Embedding of analytic spaces

32C25

Analytic subsets and submanifolds

576

32C30

Integration on analytic sets and spaces, currents [See also 32A25, 32A27]

728

32C35

Analytic sheaves and cohomology groups [See also 14Fxx, 18F20, 55N30]

1052

32C36

Local cohomology of analytic spaces

144

32C37

Duality theorems for analytic spaces

201

32C38

Sheaves of differential operators and their modules, \(D\)-modules [See also 13N10, 14F10, 16S32, 35A27, 35S35, 58J15]

989

32C55

The Levi problem in complex spaces; generalizations

32C81

Applications of analytic spaces to physics and other areas of science

32C99

None of the above, but in this section

164

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

Mechanics of particles and systems

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

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview