52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also <a href="#code:46Bxx">46Bxx</a>]

52A22 Random convex sets and integral geometry [See also <a href="#code:53C65">53C65</a>, <a href="#code:60D05">60D05</a>]

52A23 Asymptotic theory of convex bodies [See also <a href="#code:46B06">46B06</a>]

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

52A40 Inequalities and extremum problems

52A41 Convex functions and convex programs [See also <a href="#code:26B25">26B25</a>, <a href="#code:90C25">90C25</a>]

52A55 Spherical and hyperbolic convexity

52A99 None of the above, but in this section

52B05 Combinatorial properties (number of faces, shortest paths, etc.) [See also <a href="#code:05Cxx">05Cxx</a>]

52B12 Special polytopes (linear programming, centrally symmetric, etc.)

52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also <a href="#code:06A11">06A11</a>, <a href="#code:13F20">13F20</a>, <a href="#code:13Hxx">13Hxx</a>]

52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also <a href="#code:05B35">05B35</a>, <a href="#code:52Cxx">52Cxx</a>]

52B45 Dissections and valuations (Hilbert's third problem, etc.)

52B55 Computational aspects related to convexity {For computational geometry and algorithms, see <a href="#code:68Q25">68Q25</a>, <a href="#code:68U05">68U05</a>; for numerical algorithms, see <a href="#code:65Yxx">65Yxx</a>} [See also <a href="#code:68Uxx">68Uxx</a>]

52B60 Isoperimetric problems for polytopes

52B99 None of the above, but in this section

52C05 Lattices and convex bodies in $2$ dimensions [See also <a href="#code:11H06">11H06</a>, <a href="#code:11H31">11H31</a>, <a href="#code:11P21">11P21</a>]

52C07 Lattices and convex bodies in $n$ dimensions [See also <a href="#code:11H06">11H06</a>, <a href="#code:11H31">11H31</a>, <a href="#code:11P21">11P21</a>]