zbMATH - the first resource for mathematics

Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology] 26081

18Fxx

Categories and geometry 3645

18F99

None of the above, but in this section 229

19-XX

$K$-theory [See also 16E20, 18F25] 6702

19Exx

$K$-theory in geometry 850

19E99

None of the above, but in this section 37

20-XX

Group theory and generalizations 105164

20Fxx

Special aspects of infinite or finite groups 24111

20F70

Algebraic geometry over groups; equations over groups 187

32-XX

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 43511

32Bxx

Local analytic geometry [See also 13-XX and 14-XX] 1768

32B99

None of the above, but in this section 135

32Jxx

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2548

32J25

Transcendental methods of algebraic geometry [See also 14C30] 628

34-XX

Ordinary differential equations 169961

34Cxx

Qualitative theory [See also 37-XX] 49490

34C08

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 312

37-XX

Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 105964

37Jxx

Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx] 16957

37J05

General theory, relations with symplectic geometry and topology 1213

37Kxx

Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] 16689

37K20

Relations with algebraic geometry, complex analysis, special functions [See also 14H70] 766

37K25

Relations with differential geometry 605

46-XX

Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx] 118673

46Bxx

Normed linear spaces and Banach spaces; Banach lattices [For function spaces, see 46Exx] 22329

46B20

Geometry and structure of normed linear spaces 7456

46Cxx

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4714

46C05

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1733

46Lxx

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] 22582

46L87

Noncommutative differential geometry [See also 58B32, 58B34, 58J22] 1417

51-XX

Geometry [For algebraic geometry, see 14-XX] 34094

51-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 43

51-01

Instructional exposition (textbooks, tutorial papers, etc.) 1394

51-02

Research exposition (monographs, survey articles) 467

51-03

Historical (must also be assigned at least one classification number from Section 01) 1323

51-04

Explicit machine computation and programs (not the theory of computation or programming) 217

51-06

Proceedings, conferences, collections, etc. 272

51Axx

Linear incidence geometry 4792

51A05

General theory and projective geometries 715

51A10

Homomorphism, automorphism and dualities 318

51A20

Configuration theorems 507

51A25

Algebraization [See also 12Kxx, 20N05] 379

51A50

Polar geometry, symplectic spaces, orthogonal spaces 435

51A99

None of the above, but in this section 341

51Bxx

Nonlinear incidence geometry 1278

51B05

General theory 345

51B99

None of the above, but in this section 89

51Cxx

Ring geometry (Hjelmslev, Barbilian, etc.) 368

51C05

Ring geometry (Hjelmslev, Barbilian, etc.) 364

51C99

None of the above, but in this section 3

51Dxx

Geometric closure systems 677

51D25

Lattices of subspaces [See also 05B35] 154

51Exx

Finite geometry and special incidence structures 8419

51E05

General block designs [See also 05B05] 384

51E10

Steiner systems 575

51E23

Spreads and packing problems 271

51E24

Buildings and the geometry of diagrams 950

51E99

None of the above, but in this section 181

51Fxx

Metric geometry 2451

51F20

Congruence and orthogonality [See also 20H05] 224

51F25

Orthogonal and unitary groups [See also 20H05] 221

51F99

None of the above, but in this section 803

51Hxx

Topological geometry 740

51H05

General theory 38

51H99

None of the above, but in this section 48

51Kxx

Distance geometry 897

51K05

General theory 526

51K10

Synthetic differential geometry 224

51K99

None of the above, but in this section 187

51Lxx

Geometric order structures [See also 53C75] 120

51L05

Geometry of orders of nondifferentiable curves 12

51L20

Geometry of orders of surfaces 18

51Mxx

Real and complex geometry 11488

51M16

Inequalities and extremum problems [For convex problems, see 52A40] 809

51M25

Length, area and volume [See also 26B15] 1097

51M35

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 309

51M99

None of the above, but in this section 684

51Nxx

Analytic and descriptive geometry 6665

51N05

Descriptive geometry [See also 65D17, 68U07] 1187

51N10

Affine analytic geometry 954

51N15

Projective analytic geometry 1247

51N20

Euclidean analytic geometry 1957

51N25

Analytic geometry with other transformation groups 488

51N30

Geometry of classical groups [See also 20Gxx, 14L35] 200

51N35

Questions of classical algebraic geometry [See also 14Nxx] 856

51N99

None of the above, but in this section 470

51Pxx

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 306

51P05

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 299

51P99

None of the above, but in this section 4

52-XX

Convex and discrete geometry 30495

52-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 10

52-01

Instructional exposition (textbooks, tutorial papers, etc.) 200

52-02

Research exposition (monographs, survey articles) 395

52-03

Historical (must also be assigned at least one classification number from Section 01) 108

52-04

Explicit machine computation and programs (not the theory of computation or programming) 195

52-06

Proceedings, conferences, collections, etc. 266

52Axx

General convexity 14791

52A05

Convex sets without dimension restrictions 773

52A07

Convex sets in topological vector spaces [See also 46A55] 775

52A21

Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] 625

52A22

Random convex sets and integral geometry [See also 53C65, 60D05] 1232

52A35

Helly-type theorems and geometric transversal theory 690

52A38

Length, area, volume [See also 26B15, 28A75, 49Q20] 908

52A39

Mixed volumes and related topics 405

52A40

Inequalities and extremum problems 3419

52A41

Convex functions and convex programs [See also 26B25, 90C25] 744

52Bxx

Polytopes and polyhedra 9134

52B20

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 973

52B22

Shellability 95

52B35

Gale and other diagrams 70

52B40

Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 440

52B55

Computational aspects related to convexity [For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx] [See also 68Uxx] 1139

52Cxx

Discrete geometry 9131

52C10

Erdős problems and related topics of discrete geometry [See also 11Hxx] 720

52C15

Packing and covering in $2$ dimensions [See also 05B40, 11H31] 834

52C17

Packing and covering in $n$ dimensions [See also 05B40, 11H31] 2244

52C20

Tilings in $2$ dimensions [See also 05B45, 51M20] 1036

52C22

Tilings in $n$ dimensions [See also 05B45, 51M20] 880