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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 51 | Geometry | ||
| 51-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 51-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 51-02 | Research exposition (monographs, survey articles) | ||
| 51-03 | Historical | ||
| 51-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 51-06 | Proceedings, conferences, collections, etc. | ||
| 51-99 | Geometry (not classified at a more specific level) | ||
| 51A | Linear incidence geometry | ||
| 51A05 | General theory and projective geometries | ||
| 51A10 | Homomorphism, automorphism and dualities | ||
| 51A15 | Structures with parallelism | ||
| 51A20 | Configuration theorems | ||
| 51A25 | Algebraization [See also 12Kxx, 20N05] | ||
| 51A30 | Desarguesian and Pappian geometries | ||
| 51A35 | Non-Desarguesian affine and projective planes | ||
| 51A40 | Translation planes and spreads | ||
| 51A45 | Incidence structures imbeddable into projective geometries | ||
| 51A50 | Polar geometry, symplectic spaces, orthogonal spaces | ||
| 51A99 | None of the above, but in this section | ||
| 51B | Nonlinear incidence geometry | ||
| 51B05 | General theory | ||
| 51B10 | Möbius geometries | ||
| 51B15 | Laguerre geometries | ||
| 51B20 | Minkowski geometries | ||
| 51B25 | Lie geometries | ||
| 51B99 | None of the above, but in this section | ||
| 51C05 | Ring geometry (Hjelmslev, Barbilian, etc.) | ||
| 51D | Geometric closure systems | ||
| 51D05 | Abstract (Maeda) geometries | ||
| 51D10 | Abstract geometries with exchange axiom | ||
| 51D15 | Abstract geometries with parallelism | ||
| 51D20 | Combinatorial geometries [See also 05B25, 05B35] | ||
| 51D25 | Lattices of subspaces [See also 05B35] | ||
| 51D30 | Continuous geometries and related topics [See also 06Cxx] | ||
| 51D99 | None of the above, but in this section | ||
| 51E | Finite geometry and special incidence structures | ||
| 51E05 | General block designs [See also 05B05] | ||
| 51E10 | Steiner systems | ||
| 51E12 | Generalized quadrangles, generalized polygons | ||
| 51E14 | Finite partial geometries (general), nets, partial spreads | ||
| 51E15 | Affine and projective planes | ||
| 51E20 | Combinatorial structures in finite projective spaces [See also 05Bxx] | ||
| 51E21 | Blocking sets, ovals, $k$-arcs | ||
| 51E22 | Linear codes and caps in Galois spaces [See also 94B05] | ||
| 51E23 | Spreads and packing problems | ||
| 51E24 | Buildings and the geometry of diagrams | ||
| 51E25 | Other finite nonlinear geometries | ||
| 51E26 | Other finite linear geometries | ||
| 51E30 | Other finite incidence structures [See also 05B30] | ||
| 51E99 | None of the above, but in this section | ||
| 51F | Metric geometry | ||
| 51F05 | Absolute planes | ||
| 51F10 | Absolute spaces | ||
| 51F15 | Reflection groups, reflection geometries [See also 20H10, 20H15; for Coxeter groups, see 20F55] | ||
| 51F20 | Congruence and orthogonality [See also 20H05] | ||
| 51F25 | Orthogonal and unitary groups [See also 20H05] | ||
| 51F99 | None of the above, but in this section | ||
| 51G05 | Ordered geometries (ordered incidence structures, etc.) | ||
| 51H | Topological geometry | ||
| 51H05 | General theory | ||
| 51H10 | Topological linear incidence structures | ||
| 51H15 | Topological nonlinear incidence structures | ||
| 51H20 | Topological geometries on manifolds [See also 57-XX] | ||
| 51H25 | Geometries with differentiable structure [See also 53Cxx, 53C70] | ||
| 51H30 | Geometries with algebraic manifold structure [See also 14-XX] | ||
| 51H99 | None of the above, but in this section | ||
| 51J | Incidence groups | ||
| 51J05 | General theory | ||
| 51J10 | Projective incidence groups | ||
| 51J15 | Kinematic spaces | ||
| 51J20 | Representation by near-fields and near-algebras [See also 12K05, 16Y30] | ||
| 51J99 | None of the above, but in this section | ||
| 51K | Distance geometry | ||
| 51K05 | General theory | ||
| 51K10 | Synthetic differential geometry | ||
| 51K99 | None of the above, but in this section | ||
| 51L | Geometric order structures [See also 53C75] | ||
| 51L05 | Geometry of orders of nondifferentiable curves | ||
| 51L10 | Directly differentiable curves | ||
| 51L15 | $n$-vertex theorems via direct methods | ||
| 51L20 | Geometry of orders of surfaces | ||
| 51L99 | None of the above, but in this section | ||
| 51M | Real and complex geometry | ||
| 51M04 | Elementary problems in Euclidean geometries | ||
| 51M05 | Euclidean geometries (general) and generalizations | ||
| 51M09 | Elementary problems in hyperbolic and elliptic geometries | ||
| 51M10 | Hyperbolic and elliptic geometries (general) and generalizations | ||
| 51M15 | Geometric constructions | ||
| 51M16 | Inequalities and extremum problems {For convex problems, see 52A40} | ||
| 51M20 | Polyhedra and polytopes; regular figures, division of spaces [See also 51F15] | ||
| 51M25 | Length, area and volume [See also 26B15] | ||
| 51M30 | Line geometries and their generalizations [See also 53A25] | ||
| 51M35 | Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] | ||
| 51M99 | None of the above, but in this section | ||
| 51N | Analytic and descriptive geometry | ||
| 51N05 | Descriptive geometry [See also 65D17, 68U07] | ||
| 51N10 | Affine analytic geometry | ||
| 51N15 | Projective analytic geometry | ||
| 51N20 | Euclidean analytic geometry | ||
| 51N25 | Analytic geometry with other transformation groups | ||
| 51N30 | Geometry of classical groups [See also 20Gxx, 14L35] | ||
| 51N35 | Questions of classical algebraic geometry [See also 14Nxx] | ||
| 51N99 | None of the above, but in this section | ||
| 51P05 | Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) | ||
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