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]
  • 2
    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
  • 11
    52A41
    Convex functions and convex programs [See also 26B25, 90C25]
  • 52A55
    Spherical and hyperbolic convexity
  • 52A99
    None of the above, but in this section

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