- 
                            
                            
                                                            
                            
                                                                    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]
 
                         
                                                - 
                            
                            
                                                            
                            
                                                                    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                                                            
                            
                         
                                                - 
                            
                            
                                                            
                            
                                                                    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