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 Finitedimensional 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 (starshaped, (m; n)convex, etc.)
 52A35 Hellytype 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