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  • 52-XX Convex and discrete geometry
  • 52Axx General convexity
  • 52A55 Spherical and hyperbolic convexity

52Axx General convexity

  • 52A01 Axiomatic and generalized convexity
  • 52A05 Convex sets without dimension restrictions
  • 52A07 Convex sets in topological vector spaces
  • 52A10 Convex sets in 2 dimensions (including convex curves)
  • 52A15 Convex sets in 3 dimensions (including convex surfaces)
  • 52A20 Convex sets in n dimensions (including convex hypersurfaces)
  • 52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.)
  • 52A22 Random convex sets and integral geometry
  • 52A23 Asymptotic theory of convex bodies
  • 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 Length, area, volume
  • 52A39 Mixed volumes and related topics
  • 52A40 Inequalities and extremum problems
  • 52A41 Convex functions and convex programs
  • 52A55 Spherical and hyperbolic convexity
  • 52A99 None of the above, but in this section
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