Login
Login

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

__NOTOC__

{{Planetmath instructions|topic=52-XX Convex and discrete geometry}}

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

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=6954 convex analysis], id=6954 -- WP guess: convex analysis -- Status:

52A01 Axiomatic and generalized convexity

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=401 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: [http://planetmath.org/?op=getobj&from=objects&id=3528 Fréchet 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: [http://planetmath.org/?op=getobj&from=objects&id=8471 recession cone], id=8471new! -- WP guess: recession cone -- Status:

52A15 Convex sets in $3$ dimensions (including convex surfaces)

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

::Mikkalai 03:38, 14 Feb 2005 (UTC)

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=6199 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: [http://planetmath.org/?op=getobj&from=objects&id=4710 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: [http://planetmath.org/?op=getobj&from=objects&id=7144 Wulff Theorem], id=7144 -- WP guess: Wulff Theorem -- Status:

52A30 Variants of convex sets (star-shaped, ($m, n$)-convex, etc.)

52A35 Helly-type theorems and geometric transversal theory

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=4728 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)

52A41 Convex functions and convex programs

52A99 Miscellaneous

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=243 convex set], id=243 -- WP : convex set -- Status: A

:Mikkalai 03:51, 14 Feb 2005 (UTC)

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=5920 extreme point], id=5920 -- WP : extreme point -- Status: A

:Mikkalai 03:51, 14 Feb 2005 (UTC)

:Nameless proposition. Mikkalai 03:51, 14 Feb 2005 (UTC)

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=5923 internal point], id=5923 -- WP : internal point -- Status: NC

:Mikkalai 03:51, 14 Feb 2005 (UTC)

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=7252 extreme subset of convex set], id=7252 -- WP guess: extreme subset of convex set -- Status:
  • PM: [http://planetmath.org/?op=getobj&from=objects&id=8530 face of a convex set], id=8530new! -- WP guess: face of a convex set -- Status:

52Axx General convexity

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

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=7385 embedding], id=7385 -- WP guess: embedding -- Status:

52B11 $n$-dimensional polytopes

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=7912 isothetic], id=7912new! -- WP guess: isothetic -- Status:

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

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=5544 polytope], id=5544 -- WP: Convex polytope -- Status: NM

::Jtwdog 21:21, 28 October 2005 (UTC)

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=9264 f-vector], id=9264new! -- WP guess: f-vector -- Status:
  • PM: [http://planetmath.org/?op=getobj&from=objects&id=9262 Weyl-Minkowski theorem], id=9262new! -- WP guess: Weyl-Minkowski theorem -- Status:

52B45 Dissections and valuations (Hilbert's third problem, etc.)

52B99 Miscellaneous

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=5780 pure simplicial complex], id=5780 -- WP: pure simplicial complex -- Status: A

:Redirect to simplicial complex Mikkalai 00:19, 11 Feb 2005 (UTC)

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=7760 hyperplane arrangement], id=7760new! -- WP guess: hyperplane arrangement -- Status:
  • PM: [http://planetmath.org/?op=getobj&from=objects&id=7749 zonotope], id=7749new! -- WP guess: zonotope -- Status:

52Bxx Polytopes and polyhedra

52C07 Lattices and convex bodies in $n$ dimensions

52C35 Arrangements of points, flats, hyperplanes

  • PM: [http://planetmath.org/?op=getobj&from=objects&id=5788 K-distance set], id=5788 -- WP : K-distance set -- Status: NC

:Mikkalai 05:12, 14 Feb 2005 (UTC)

52Cxx Discrete geometry