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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 52 | Convex and discrete geometry | ||
| 52-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 52-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 52-02 | Research exposition (monographs, survey articles) | ||
| 52-03 | Historical | ||
| 52-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 52-06 | Proceedings, conferences, collections, etc. | ||
| 52-99 | Convex and discrete geometry (not classified at a more specific level) | ||
| 52A | General convexity | ||
| 52A01 | Axiomatic and generalized convexity | ||
| 52A05 | Convex sets without dimension restrictions | ||
| 52A07 | Convex sets in topological vector spaces [See also 46A55] | ||
| 52A10 | Convex sets in $2$ dimensions (including convex curves) [See also 53A04] | ||
| 52A15 | Convex sets in $3$ dimensions (including convex surfaces) [See also 53A05, 53C45] | ||
| 52A20 | Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45] | ||
| 52A21 | Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] | ||
| 52A22 | Random convex sets and integral geometry [See also 53C65, 60D05] | ||
| 52A27 | Approximation by convex sets | ||
| 52A30 | Variants of convex sets (star-shaped, ($m, n$)-convex, etc.) | ||
| 52A35 | Helly-type theorems and geometric transversal theory | ||
| 52A37 | Other problems of combinatorial convexity | ||
| 52A38 | Length, area, volume [See also 26B15, 28A75, 49Q20] | ||
| 52A39 | Mixed volumes and related topics | ||
| 52A40 | Inequalities and extremum problems | ||
| 52A41 | Convex functions and convex programs [See also 26B25, 90C25] | ||
| 52A55 | Spherical and hyperbolic convexity | ||
| 52A99 | None of the above, but in this section | ||
| 52B | Polytopes and polyhedra | ||
| 52B05 | Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx] | ||
| 52B10 | Three-dimensional polytopes | ||
| 52B11 | $n$-dimensional polytopes | ||
| 52B12 | Special polytopes (linear programming, centrally symmetric, etc.) | ||
| 52B15 | Symmetry properties of polytopes | ||
| 52B20 | Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] | ||
| 52B22 | Shellability | ||
| 52B35 | Gale and other diagrams | ||
| 52B40 | Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] | ||
| 52B45 | Dissections and valuations (Hilbert's third problem, etc.) | ||
| 52B55 | Computational aspects related to convexity {For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx} [See also 68Uxx] | ||
| 52B60 | Isoperimetric problems for polytopes | ||
| 52B70 | Polyhedral manifolds | ||
| 52B99 | None of the above, but in this section | ||
| 52C | Discrete geometry | ||
| 52C05 | Lattices and convex bodies in $2$ dimensions [See also 11H06, 11H31, 11P21] | ||
| 52C07 | Lattices and convex bodies in $n$ dimensions [See also 11H06, 11H31, 11P21] | ||
| 52C10 | Erdös problems and related topics of discrete geometry [See also 11Hxx] | ||
| 52C15 | Packing and covering in $2$ dimensions [See also 05B40, 11H31] | ||
| 52C17 | Packing and covering in $n$ dimensions [See also 05B40, 11H31] | ||
| 52C20 | Tilings in $2$ dimensions [See also 05B45, 51M20] | ||
| 52C22 | Tilings in $n$ dimensions [See also 05B45, 51M20] | ||
| 52C23 | Quasicrystals, aperiodic tilings | ||
| 52C25 | Rigidity and flexibility of structures [See also 70B15] | ||
| 52C26 | Circle packings and discrete conformal geometry | ||
| 52C30 | Planar arrangements of lines and pseudolines | ||
| 52C35 | Arrangements of points, flats, hyperplanes [See also 32S22] | ||
| 52C40 | Oriented matroids | ||
| 52C45 | Combinatorial complexity of geometric structures [See also 68U05] | ||
| 52C99 | None of the above, but in this section | ||
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