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Mathematical Subject Classification – MSC2010

52-XX

Convex and discrete geometry 26881

52-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 8

52-01

Instructional exposition (textbooks, tutorial papers, etc.) 174

52-02

Research exposition (monographs, survey articles) 377

52-03

Historical (must also be assigned at least one classification number from Section 01) 93

52-04

Explicit machine computation and programs (not the theory of computation or programming) 186

52-06

Proceedings, conferences, collections, etc. 236

52Axx

General convexity 13381

52A01

Axiomatic and generalized convexity 779

52A05

Convex sets without dimension restrictions 730

52A07

Convex sets in topological vector spaces [See also 46A55] 734

52A10

Convex sets in $2$ dimensions (including convex curves) [See also 53A04] 1994

52A15

Convex sets in $3$ dimensions (including convex surfaces) [See also 53A05, 53C45] 567

52A20

Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45] 3392

52A21

Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] 550

52A22

Random convex sets and integral geometry [See also 53C65, 60D05] 1107

52A23

Asymptotic theory of convex bodies [See also 46B06] 64

52A27

Approximation by convex sets 237

52A30

Variants of convex sets (star-shaped, ($m, n$)-convex, etc.) 760

52A35

Helly-type theorems and geometric transversal theory 619

52A37

Other problems of combinatorial convexity 637

52A38

Length, area, volume [See also 26B15, 28A75, 49Q20] 746

52A39

Mixed volumes and related topics 326

52A40

Inequalities and extremum problems 3077

52A41

Convex functions and convex programs [See also 26B25, 90C25] 636

52A55

Spherical and hyperbolic convexity 233

52A99

None of the above, but in this section 284

52Bxx

Polytopes and polyhedra 7831

52B05

Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx] 1046

52B10

Three-dimensional polytopes 709

52B11

$n$-dimensional polytopes 979

52B12

Special polytopes (linear programming, centrally symmetric, etc.) 815

52B15

Symmetry properties of polytopes 295

52B20

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 766

52B22

Shellability 90

52B35

Gale and other diagrams 61

52B40

Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 269

52B45

Dissections and valuations (Hilbert’s third problem, etc.) 329

52B55

Computational aspects related to convexity [For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx] [See also 68Uxx] 969

52B60

Isoperimetric problems for polytopes 104

52B70

Polyhedral manifolds 508

52B99

None of the above, but in this section 251

52Cxx

Discrete geometry 7927

52C05

Lattices and convex bodies in $2$ dimensions [See also 11H06, 11H31, 11P21] 244

52C07

Lattices and convex bodies in $n$ dimensions [See also 11H06, 11H31, 11P21] 840

52C10

Erdős problems and related topics of discrete geometry [See also 11Hxx] 601

52C15

Packing and covering in $2$ dimensions [See also 05B40, 11H31] 729

52C17

Packing and covering in $n$ dimensions [See also 05B40, 11H31] 2092

52C20

Tilings in $2$ dimensions [See also 05B45, 51M20] 889

52C22

Tilings in $n$ dimensions [See also 05B45, 51M20] 759

52C23

Quasicrystals, aperiodic tilings 408

52C25

Rigidity and flexibility of structures [See also 70B15] 328

52C26

Circle packings and discrete conformal geometry 175

52C30

Planar arrangements of lines and pseudolines 149

52C35

Arrangements of points, flats, hyperplanes [See also 32S22] 917

52C40

Oriented matroids 147

52C45

Combinatorial complexity of geometric structures [See also 68U05] 234

52C99

None of the above, but in this section 293

Overview

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Integral equations

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