52XX 


Convex and discrete geometry 

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 
Finitedimensional Banach spaces (including special norms, zonoids, etc.) [See also 46Bxx] 


52A22 
Random convex sets and integral geometry [See also 53C65, 60D05] 


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] 


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 