|
52-XX
|
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 {!must also be assigned at least one classification number from section 01}
|
|
52-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
|
52-06
|
Proceedings, conferences, collections, etc.
|
|
52Axx
|
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
|
|
52Bxx
|
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.)
[See also
68-XX]
|
|
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
|
|
52Cxx
|
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
|
Erd\"os 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 conformal approximations
|
|
52C30
|
Planar arrangements of lines and pseudolines
[See also
32S22]
|
|
52C35
|
Arrangements of points, flats, hyperplanes
|
|
52C40
|
Oriented matroids
|
|
52C45
|
Combinatorial complexity of geometric structures
[See also
68U05]
|
|
52C99
|
None of the above, but in this section
|