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] 26584

18Fxx

Categories and geometry 3677

18F99

None of the above, but in this section 234

19-XX

$K$-theory [See also 16E20, 18F25] 6840

19Exx

$K$-theory in geometry 870

19E99

None of the above, but in this section 37

20-XX

Group theory and generalizations 106652

20Fxx

Special aspects of infinite or finite groups 24545

20F70

Algebraic geometry over groups; equations over groups 196

32-XX

Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 44156

32Bxx

Local analytic geometry [See also 13-XX and 14-XX] 1784

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] 2567

32J25

Transcendental methods of algebraic geometry [See also 14C30] 631

34-XX

Ordinary differential equations 174049

34Cxx

Qualitative theory [See also 37-XX] 50416

34C08

Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 320

37-XX

Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 108546

37Jxx

Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx] 17193

37J05

General theory, relations with symplectic geometry and topology 1246

37Kxx

Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] 17068

37K20

Relations with algebraic geometry, complex analysis, special functions [See also 14H70] 785

37K25

Relations with differential geometry 625

46-XX

Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx] 120033

46Bxx

Normed linear spaces and Banach spaces; Banach lattices [For function spaces, see 46Exx] 22579

46B20

Geometry and structure of normed linear spaces 7530

46Cxx

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4774

46C05

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1767

46Lxx

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] 22935

46L87

Noncommutative differential geometry [See also 58B32, 58B34, 58J22] 1430

51-XX

Geometry [For algebraic geometry, see 14-XX] 34565

51-00

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

51-01

Instructional exposition (textbooks, tutorial papers, etc.) 1407

51-02

Research exposition (monographs, survey articles) 468

51-03

Historical (must also be assigned at least one classification number from Section 01) 1342

51-04

Explicit machine computation and programs (not the theory of computation or programming) 218

51-06

Proceedings, conferences, collections, etc. 273

51Axx

Linear incidence geometry 4826

51A05

General theory and projective geometries 729

51A10

Homomorphism, automorphism and dualities 322

51A20

Configuration theorems 514

51A25

Algebraization [See also 12Kxx, 20N05] 380

51A50

Polar geometry, symplectic spaces, orthogonal spaces 440

51A99

None of the above, but in this section 341

51Bxx

Nonlinear incidence geometry 1297

51B05

General theory 347

51B99

None of the above, but in this section 89

51Cxx

Ring geometry (Hjelmslev, Barbilian, etc.) 369

51C05

Ring geometry (Hjelmslev, Barbilian, etc.) 365

51C99

None of the above, but in this section 3

51Dxx

Geometric closure systems 684

51D25

Lattices of subspaces [See also 05B35] 156

51Exx

Finite geometry and special incidence structures 8479

51E05

General block designs [See also 05B05] 385

51E10

Steiner systems 581

51E23

Spreads and packing problems 274

51E24

Buildings and the geometry of diagrams 959

51E99

None of the above, but in this section 180

51Fxx

Metric geometry 2480

51F20

Congruence and orthogonality [See also 20H05] 226

51F25

Orthogonal and unitary groups [See also 20H05] 222

51F99

None of the above, but in this section 819

51Hxx

Topological geometry 745

51H05

General theory 38

51H99

None of the above, but in this section 47

51Kxx

Distance geometry 916

51K05

General theory 536

51K10

Synthetic differential geometry 228

51K99

None of the above, but in this section 191

51Lxx

Geometric order structures [See also 53C75] 121

51L05

Geometry of orders of nondifferentiable curves 12

51L20

Geometry of orders of surfaces 18

51Mxx

Real and complex geometry 11717

51M16

Inequalities and extremum problems [For convex problems, see 52A40] 834

51M25

Length, area and volume [See also 26B15] 1118

51M35

Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 313

51M99

None of the above, but in this section 687

51Nxx

Analytic and descriptive geometry 6716

51N05

Descriptive geometry [See also 65D17, 68U07] 1195

51N10

Affine analytic geometry 956

51N15

Projective analytic geometry 1251

51N20

Euclidean analytic geometry 1976

51N25

Analytic geometry with other transformation groups 493

51N30

Geometry of classical groups [See also 20Gxx, 14L35] 203

51N35

Questions of classical algebraic geometry [See also 14Nxx] 868

51N99

None of the above, but in this section 472

51Pxx

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 321

51P05

Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 313

51P99

None of the above, but in this section 5

52-XX

Convex and discrete geometry 31161

52-00

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

52-01

Instructional exposition (textbooks, tutorial papers, etc.) 206

52-02

Research exposition (monographs, survey articles) 407

52-03

Historical (must also be assigned at least one classification number from Section 01) 114

52-04

Explicit machine computation and programs (not the theory of computation or programming) 199

52-06

Proceedings, conferences, collections, etc. 271

52Axx

General convexity 15034

52A05

Convex sets without dimension restrictions 779

52A07

Convex sets in topological vector spaces [See also 46A55] 788

52A21

Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] 641

52A22

Random convex sets and integral geometry [See also 53C65, 60D05] 1248

52A35

Helly-type theorems and geometric transversal theory 707

52A38

Length, area, volume [See also 26B15, 28A75, 49Q20] 942

52A39

Mixed volumes and related topics 417

52A40

Inequalities and extremum problems 3487

52A41

Convex functions and convex programs [See also 26B25, 90C25] 760

52Bxx

Polytopes and polyhedra 9366

52B20

Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 1018

52B22

Shellability 95

52B35

Gale and other diagrams 72

52B40

Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 475

52B55

Computational aspects related to convexity [For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx] [See also 68Uxx] 1165

52Cxx

Discrete geometry 9360

52C10

Erdős problems and related topics of discrete geometry [See also 11Hxx] 747

52C15

Packing and covering in $2$ dimensions [See also 05B40, 11H31] 859

52C17

Packing and covering in $n$ dimensions [See also 05B40, 11H31] 2267

52C20

Tilings in $2$ dimensions [See also 05B45, 51M20] 1068

52C22

Tilings in $n$ dimensions [See also 05B45, 51M20] 895