Mathematics Subject Classification 1991

52-XX Convex and discrete geometry ( 0 Dok.)

• 52-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 52-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 52-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 52-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 52-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 52-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 52Axx General convexity ( 0 Dok. )
• 52A01 Axiomatic and generalized convexity ( 0 Dok.)
• 52A05 Convex sets without dimension restrictions ( 0 Dok.)
• 52A07 Convex sets in topological vector spaces, See also {46A55} ( 0 Dok.)
• 52A10 Convex sets in $2$ dimensions (including convex curves), See also {53A04} ( 0 Dok.)
• 52A15 Convex sets in $3$ dimensions (including convex surfaces), See also {53A05, 53C45} ( 0 Dok.)
• 52A20 Convex sets in $n$ dimensions (including convex hypersurfaces), See also {53A07, 53C45} ( 0 Dok.)
• 52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.), See also {46Bxx} ( 0 Dok.)
• 52A22 Random convex sets and integral geometry, See also {53C65,60D05} ( 0 Dok.)
• 52A27 Approximation by convex sets ( 0 Dok.)
• 52A30 Variants of convex sets (star-shaped, ($m, n$)-convex, etc.) ( 0 Dok.)
• 52A35 Helly-type theorems ( 0 Dok.)
• 52A37 Other problems of combinatorial convexity ( 0 Dok.)
• 52A38 Length, area, volume, See also {26B15, 28A75, 49Q20} ( 0 Dok.)
• 52A39 Mixed volumes and related topics ( 0 Dok.)
• 52A40 Inequalities and extremum problems ( 0 Dok.)
• 52A41 Convex functions and convex programs, See also {26B25, 90C25} ( 0 Dok.)
• 52A55 Spherical and hyperbolic convexity ( 0 Dok.)
• 52A99 None of the above but in this section ( 0 Dok.)
• 52Bxx Polytopes and polyhedra ( 0 Dok. )
• 52B05 Combinatorial properties (number of faces, shortest paths, etc.), See also {05Cxx} ( 0 Dok.)
• 52B10 Three-dimensional polytopes ( 0 Dok.)
• 52B11 $n$-dimensional polytopes ( 0 Dok.)
• 52B12 Special polytopes (linear programming, centrally symmetric, etc.) ( 0 Dok.)
• 52B15 Symmetry properties of polytopes ( 0 Dok.)
• 52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry), See also {06A08, 13F20, 13Hxx} ( 0 Dok.)
• 52B30 Arrangements of hyperplanes ( 0 Dok.)
• 52B35 Gale and other diagrams ( 0 Dok.)
• 52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), See Also { 05B35} ( 0 Dok.)
• 52B45 Dissections and valuations (Hilbert's third problem, etc.) ( 0 Dok.)
• 52B55 Computational aspects related to convexity, {For computational geometry and algorithms, See 68Q20, 68Q25, 68U05; for numerical algorithms, See 65Yxx} ( 0 Dok.)
• 52B60 Isoperimetric problems for polytopes ( 0 Dok.)
• 52B70 Polyhedral manifolds ( 0 Dok.)
• 52B99 None of the above but in this section ( 0 Dok.)
• 52Cxx Discrete geometry ( 0 Dok. )
• 52C05 Lattices and convex bodies in $2$ dimensions, See Also { 11H06, 11H31, 11P21} ( 0 Dok.)
• 52C07 Lattices and convex bodies in $n$ dimensions, See Also { 11H06, 11H31, 11P21} ( 0 Dok.)
• 52C10 Erdos problems and related topics of discrete geometry, See also {11Hxx} ( 0 Dok.)
• 52C15 Packing and covering in $2$ dimensions, See also {05B40, 11H31} ( 0 Dok.)
• 52C17 Packing and covering in $n$ dimensions, See also {05B40, 11H31} ( 0 Dok.)
• 52C20 Tilings in $2$ dimensions, See also {05B45, 51M20} ( 0 Dok.)
• 52C22 Tilings in $n$ dimensions, See also {05B45, 51M20} ( 0 Dok.)
• 52C25 Rigidity and flexibility of structures, See also {70B15} ( 0 Dok.)
• 52C99 None of the above but in this section ( 0 Dok.)