Wikipedia:WikiProject Mathematics/PlanetMath Exchange/52-XX Convex and discrete geometry

52-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

 * PM: convex analysis, id=6954 -- WP guess: convex analysis -- Status:

52A01 Axiomatic and generalized convexity

 * PM: convex combination, id=401 -- WP: convex combination -- Status: A
 * Or one might want to copy some formulae, in addition to a verbal description. Mikkalai 02:47, 14 Feb 2005 (UTC)

52A07 Convex sets in topological vector spaces

 * PM: FrÃ©chet space, id=3528 -- WP: Fréchet space -- Status: A
 * Unless someone wants to add proofs (which is IMO not really necessary in encyclopedia) Mikkalai 02:50, 14 Feb 2005 (UTC)


 * PM: recession cone, id=8471new! -- WP guess: recession cone -- Status:

52A20 Convex sets in $n$ dimensions (including convex hypersurfaces)

 * PM: CarathÃ©odory's theorem, id=4730 -- WP: Carathéodory's theorem (convex hull) -- Status: A
 * Mikkalai 03:38, 14 Feb 2005 (UTC)


 * PM: proper cone, id=6199 -- WP : proper cone -- Status: M
 * Merged into Cone (geometry), and proper cone redirects thereMikkalai 03:38, 14 Feb 2005 (UTC)
 * Renamed cone (geometry) to cone (linear algebra). Jorge Stolfi 03:26, 23 December 2005 (UTC)


 * PM: Radon's lemma, id=4710 -- WP : Radon's lemma -- Status: C
 * Jtwdog 21:16, 28 October 2005 (UTC)

52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.)

 * PM: Wulff Theorem, id=7144 -- WP guess: Wulff Theorem -- Status:

52A35 Helly-type theorems and geometric transversal theory

 * PM: Helly's theorem, id=4728 -- WP: Helly's theorem -- Status: A
 * Note: PM proof is much shorter, whatever this may mean. User:Mikkalai 15:30, 3 February 2005 (UTC)

52A99 Miscellaneous

 * PM: convex set, id=243 -- WP : convex set -- Status: A
 * Mikkalai 03:51, 14 Feb 2005 (UTC)


 * PM: extreme point, id=5920 -- WP : extreme point -- Status: A
 * Mikkalai 03:51, 14 Feb 2005 (UTC)


 * PM: if A is convex and f linear then f(A) and f^{-1}(A) are convex, id=6175 -- WP guess: if A is convex and f linear then f(A) and f^-1(A) are convex -- Status: N
 * Nameless proposition. Mikkalai 03:51, 14 Feb 2005 (UTC)


 * PM: internal point, id=5923 -- WP : internal point -- Status: NC
 * Mikkalai 03:51, 14 Feb 2005 (UTC)


 * PM: extreme subset of convex set, id=7252 -- WP guess: extreme subset of convex set -- Status:


 * PM: proof of properties of extreme subsets of a closed convex set, id=7264 -- WP guess: proof of properties of extreme subsets of a closed convex set -- Status:


 * PM: properties of extreme subsets of a closed convex set, id=7253 -- WP guess: properties of extreme subsets of a closed convex set -- Status:


 * PM: face of a convex set, id=8530new! -- WP guess: face of a convex set -- Status:


 * PM: alternative definition of face of a convex set, id=9320new! -- WP guess: alternative definition of face of a convex set -- Status:

52B05 Combinatorial properties (number of faces, shortest paths, etc.)

 * PM: embedding, id=7385 -- WP guess: embedding -- Status:

52B11 $n$-dimensional polytopes

 * PM: isothetic, id=7912new! -- WP guess: isothetic -- Status:

52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)

 * PM: polytope, id=5544 -- WP: Convex polytope -- Status: NM
 * Jtwdog 21:21, 28 October 2005 (UTC)


 * PM: f-vector, id=9264new! -- WP guess: f-vector -- Status:


 * PM: Weyl-Minkowski theorem, id=9262new! -- WP guess: Weyl-Minkowski theorem -- Status:

52B99 Miscellaneous

 * PM: pure simplicial complex, id=5780 -- WP: pure simplicial complex -- Status: A
 * Redirect to simplicial complex Mikkalai 00:19, 11 Feb 2005 (UTC)


 * PM: hyperplane arrangement, id=7760new! -- WP guess: hyperplane arrangement -- Status:


 * PM: intersection semilattice of a subspace arrangement, id=7761new! -- WP guess: intersection semilattice of a subspace arrangement -- Status:


 * PM: zonotope, id=7749new! -- WP guess: zonotope -- Status:

52C35 Arrangements of points, flats, hyperplanes

 * PM: K-distance set, id=5788 -- WP : K-distance set -- Status: NC
 * Mikkalai 05:12, 14 Feb 2005 (UTC)