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] 27075

18Fxx

Categories and geometry 3714

18F99

None of the above, but in this section 242

19-XX

\(K\)-theory [See also 16E20, 18F25] 6988

19Exx

\(K\)-theory in geometry 887

19E99

None of the above, but in this section 38

20-XX

Group theory and generalizations 108253

20Fxx

Special aspects of infinite or finite groups 24970

20F70

Algebraic geometry over groups; equations over groups 209

32-XX

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 44957

32Bxx

Local analytic geometry [See also 13-XX and 14-XX] 1807

32B99

None of the above, but in this section 136

32Jxx

Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2606

32J25

Transcendental methods of algebraic geometry [See also 14C30] 639

34-XX

Ordinary differential equations 178323

34Cxx

Qualitative theory [See also 37-XX] 51330

34C08

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 327

37-XX

Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 110803

37Jxx

Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx] 17407

37J05

General theory, relations with symplectic geometry and topology 1271

37Kxx

Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] 17385

37K20

Relations with algebraic geometry, complex analysis, special functions [See also 14H70] 806

37K25

Relations with differential geometry 644

46-XX

Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx] 121808

46Bxx

Normed linear spaces and Banach spaces; Banach lattices [For function spaces, see 46Exx] 22946

46B20

Geometry and structure of normed linear spaces 7632

46Cxx

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4826

46C05

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1791

46Lxx

Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.) [See also 22D25, 47Lxx] 23275

46L87

Noncommutative differential geometry [See also 58B32, 58B34, 58J22] 1445

51-XX

Geometry [For algebraic geometry, see 14-XX] 35088

51-00

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

51-01

Instructional exposition (textbooks, tutorial papers, etc.) 1428

51-02

Research exposition (monographs, survey articles) 471

51-03

Historical (must also be assigned at least one classification number from Section 01) 1374

51-04

Explicit machine computation and programs (not the theory of computation or programming) 219

51-06

Proceedings, conferences, collections, etc. 279

51Axx

Linear incidence geometry 4865

51A05

General theory and projective geometries 738

51A10

Homomorphism, automorphism and dualities 322

51A20

Configuration theorems 520

51A25

Algebraization [See also 12Kxx, 20N05] 381

51A50

Polar geometry, symplectic spaces, orthogonal spaces 447

51A99

None of the above, but in this section 343

51Bxx

Nonlinear incidence geometry 1314

51B05

General theory 348

51B99

None of the above, but in this section 89

51Cxx

Ring geometry (Hjelmslev, Barbilian, etc.) 373

51C05

Ring geometry (Hjelmslev, Barbilian, etc.) 368

51C99

None of the above, but in this section 4

51Dxx

Geometric closure systems 694

51D25

Lattices of subspaces [See also 05B35] 157

51Exx

Finite geometry and special incidence structures 8571

51E05

General block designs [See also 05B05] 388

51E10

Steiner systems 588

51E23

Spreads and packing problems 277

51E24

Buildings and the geometry of diagrams 968

51E99

None of the above, but in this section 180

51Fxx

Metric geometry 2515

51F20

Congruence and orthogonality [See also 20H05] 229

51F25

Orthogonal and unitary groups [See also 20H05] 225

51F99

None of the above, but in this section 838

51Hxx

Topological geometry 750

51H05

General theory 38

51H99

None of the above, but in this section 46

51Kxx

Distance geometry 943

51K05

General theory 554

51K10

Synthetic differential geometry 233

51K99

None of the above, but in this section 198

51Lxx

Geometric order structures [See also 53C75] 122

51L05

Geometry of orders of nondifferentiable curves 12

51L20

Geometry of orders of surfaces 18

51Mxx

Real and complex geometry 11938

51M16

Inequalities and extremum problems [For convex problems, see 52A40] 850

51M25

Length, area and volume [See also 26B15] 1135

51M35

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 320

51M99

None of the above, but in this section 690

51Nxx

Analytic and descriptive geometry 6775

51N05

Descriptive geometry [See also 65D17, 68U07] 1199

51N10

Affine analytic geometry 962

51N15

Projective analytic geometry 1259

51N20

Euclidean analytic geometry 2004

51N25

Analytic geometry with other transformation groups 501

51N30

Geometry of classical groups [See also 20Gxx, 14L35] 209

51N35

Questions of classical algebraic geometry [See also 14Nxx] 870

51N99

None of the above, but in this section 475

51Pxx

Geometry and physics (should also be assigned at least one other classification number from Sections 70–86) 328

51P05

Geometry and physics (should also be assigned at least one other classification number from Sections 70–86) 319

51P99

None of the above, but in this section 6

52-XX

Convex and discrete geometry 31917

52-00

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

52-01

Instructional exposition (textbooks, tutorial papers, etc.) 212

52-02

Research exposition (monographs, survey articles) 416

52-03

Historical (must also be assigned at least one classification number from Section 01) 113

52-04

Explicit machine computation and programs (not the theory of computation or programming) 201

52-06

Proceedings, conferences, collections, etc. 276

52Axx

General convexity 15284

52A05

Convex sets without dimension restrictions 788

52A07

Convex sets in topological vector spaces [See also 46A55] 793

52A21

Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] 656

52A22

Random convex sets and integral geometry [See also 53C65, 60D05] 1263

52A35

Helly-type theorems and geometric transversal theory 713

52A38

Length, area, volume [See also 26B15, 28A75, 49Q20] 965

52A39

Mixed volumes and related topics 440

52A40

Inequalities and extremum problems 3553

52A41

Convex functions and convex programs [See also 26B25, 90C25] 785

52Bxx

Polytopes and polyhedra 9646

52B20

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 1059

52B22

Shellability 97

52B35

Gale and other diagrams 73

52B40

Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 533

52B55

Computational aspects related to convexity [For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx] [See also 68Uxx] 1209

52Cxx

Discrete geometry 9614

52C10

Erdős problems and related topics of discrete geometry [See also 11Hxx] 782

52C15

Packing and covering in \(2\) dimensions [See also 05B40, 11H31] 883

52C17

Packing and covering in \(n\) dimensions [See also 05B40, 11H31] 2301

52C20

Tilings in \(2\) dimensions [See also 05B45, 51M20] 1104

52C22

Tilings in \(n\) dimensions [See also 05B45, 51M20] 907