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Mathematical Sciences Classification System

52Axx - General convexity

• 4
  52A01
  Axiomatic and generalized convexity
• 52A05
  Convex sets without dimension restrictions
• 2
  52A07
  Convex sets in topological vector spaces [See also 46A55]
• 3
  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]
• 6
  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]
• 15
  52A22
  Random convex sets and integral geometry [See also 53C65, 60D05]
• 2
  52A23
  Asymptotic theory of convex bodies [See also 46B06]
• 52A27
  Approximation by convex sets
• 1
  52A30
  Variants of convex sets (star-shaped, ($m, n$)-convex, etc.)
• 1
  52A35
  Helly-type theorems and geometric transversal theory
• 52A37
  Other problems of combinatorial convexity
• 3
  52A38
  Length, area, volume [See also 26B15, 28A75, 49Q20]
• 1
  52A39
  Mixed volumes and related topics
• 9
  52A40
  Inequalities and extremum problems
• 13
  52A41
  Convex functions and convex programs [See also 26B25, 90C25]
• 52A55
  Spherical and hyperbolic convexity
• 52A99
  None of the above, but in this section