Incubator escapee wiki:WikiProject Mathematics/PlanetMath Exchange/57-XX Manifolds and cell complexes
Template:Planetmath instructions
57-00 General reference works (handbooks, dictionaries, bibliographies, etc.)Edit
- PM: connected sum, id=3800 -- WP : connected sum -- Status: A
- Mikkalai 06:36, 14 Feb 2005 (UTC)
- PM: topics on low dimensional topology, id=8072new! -- WP guess: topics on low dimensional topology -- Status:
57M05 Fundamental group, presentations, free differential calculusEdit
57M07 Topological methods in group theoryEdit
- PM: motivic cohomology, id=8947new! -- WP guess: motivic cohomology -- Status:
57M10 Covering spacesEdit
57M20 Two-dimensional complexesEdit
57M25 Knots and links in $S^3$Edit
- PM: connected sum, id=3780 -- WP : connected sum of knots -- Status: NC
- Possibly to be merged into connected sum. Mikkalai 06:44, 14 Feb 2005 (UTC)
- PM: knot theory, id=3778 -- WP : knot theory -- Status: NM
- Mikkalai 06:44, 14 Feb 2005 (UTC)
- Mikkalai 06:44, 14 Feb 2005 (UTC)
- PM: alternating knot, id=8658new! -- WP guess: alternating knot -- Status:
- PM: amphicheiral knot, id=8655new! -- WP guess: amphicheiral knot -- Status:
- PM: crossing change, id=8656new! -- WP guess: crossing change -- Status:
- PM: Jones polynomial, id=8643new! -- WP guess: Jones polynomial -- Status:
- PM: mirror image of a knot, id=8662new! -- WP guess: mirror image of a knot -- Status:
- PM: prime knot, id=8864new! -- WP guess: prime knot -- Status:
- PM: The first non-alternating knot, id=8872new! -- WP guess: The first non-alternating knot -- Status:
57M35 Dehn's lemma, sphere theorem, loop theorem, asphericityEdit
- PM: Dehn's lemma, id=7713new! -- WP guess: Dehn's lemma -- Status:
- PM: loop theorem, id=7786new! -- WP guess: loop theorem -- Status:
- PM: sphere theorem, id=7714new! -- WP guess: sphere theorem -- Status:
57M50 Geometric structures on low-dimensional manifoldsEdit
- PM: Seifert fiber space, id=7831new! -- WP guess: Seifert fiber space -- Status:
57M99 MiscellaneousEdit
- PM: Dehn surgery, id=4695 -- WP : Dehn surgery -- Status: NM
- Mikkalai 06:45, 14 Feb 2005 (UTC)
57Mxx Low-dimensional topologyEdit
57N10 Topology of general $3$-manifoldsEdit
- PM: 3-manifolds, id=7623 -- WP guess: 3-manifolds -- Status:
- PM: irreducible n-manifold, id=8157new! -- WP guess: irreducible n-manifold -- Status:
- PM: prime n-manifold, id=8155new! -- WP guess: prime n-manifold -- Status:
57N16 Geometric structures on manifoldsEdit
- PM: self-intersections of a curve, id=4959 -- WP guess: self-intersections of a curve -- Status:
57N17 Topology of topological vector spacesEdit
57N70 Cobordism and concordanceEdit
- PM: h-cobordism, id=4720 -- WP: h-cobordism -- Status: A
- Paul August ☎ 05:38, 8 February 2007 (UTC)
- PM: oriented cobordism, id=4694 -- WP guess: oriented cobordism -- Status:
- PM: Smale's h-cobordism theorem, id=4721 -- WP guess: Smale's h-cobordism theorem -- Status:
57N99 MiscellaneousEdit
- PM: orientation, id=3297 -- WP guess: orientation -- Status:
57Nxx Topological manifoldsEdit
57Q05 General topology of complexesEdit
57Q20 CobordismEdit
57Qxx PL-topologyEdit
57R12 Smooth approximationsEdit
- PM: \mathcal{C}^r topologies, id=5555 -- WP guess: \mathcalC^r topologies, Whitney topology -- Status:
57R19 Algebraic topology on manifoldsEdit
- PM: handle decomposition, id=7180 -- WP guess: handle decomposition -- Status:
57R22 Topology of vector bundles and fiber bundlesEdit
- PM: hairy ball theorem, id=3646 -- WP guess: hairy ball theorem -- Status:
57R35 Differentiable mappingsEdit
- PM: Brouwer degree, id=6554 -- WP guess: Brouwer degree -- Status:
- PM: degree mod 2 of a mapping, id=6555 -- WP guess: degree mod 2 of a mapping -- Status:
- PM: Hopf theorem, id=6553 -- WP guess: Hopf theorem -- Status:
- PM: Sard's theorem, id=3477 -- WP guess: Sard's theorem -- Status:
- PM: Sard's theorem, id=8305new! -- WP guess: Sard's theorem -- Status:
57R40 EmbeddingsEdit
- PM: abstract embedding, id=8679new! -- WP guess: abstract embedding -- Status:
57R42 ImmersionsEdit
57R50 DiffeomorphismsEdit
- PM: diffeotopy, id=6556 -- WP guess: diffeotopy -- Status:
- PM: mapping class group, id=6559 -- WP guess: mapping class group -- Status:
- PM: examples of mapping class group, id=7631new! -- WP guess: examples of mapping class group -- Status:
57R52 IsotopyEdit
57R60 Homotopy spheres, Poincaré conjectureEdit
- PM: homology sphere, id=4696 -- WP guess: homology sphere -- Status:
- PM: Poincaré conjecture, id=4698 -- WP: Poincaré conjecture -- Status: A
- Paul August ☎ 05:47, 8 February 2007 (UTC)
- PM: The Poincaré dodecahedral space, id=4700 -- WP guess: Poincaré dodecahedral space -- Status:
- PM: Thurston's geometrization conjecture, id=8536new! -- WP guess: Thurston's geometrization conjecture -- Status:
57R70 Critical points and critical submanifoldsEdit
- PM: round function, id=7687new! -- WP guess: round function -- Status:
57R99 MiscellaneousEdit
- PM: transversality, id=4071 -- WP guess: transversality -- Status:
57Rxx Differential topologyEdit
57S05 Topological properties of groups of homeomorphisms or diffeomorphismsEdit
57S25 Groups acting on specific manifoldsEdit
- PM: isomorphism of the group PSL_2(C) with the group of Möbius transformations, id=3023 -- WP: Möbius transformation -- Status: A
- Paul August ☎ 05:28, 8 February 2007 (UTC)