## 52Axx General convexity

- 52A01 Axiomatic and generalized convexity
- 52A05 Convex sets without dimension restrictions (4)
- 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] (1)
- 52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] (1)
- 52A22 Random convex sets and integral geometry [See also 53C65, 60D05] (1)
- 52A23 Asymptotic theory of convex bodies [See also 46B06]
- 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] (1)
- 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