Wikipedia:WikiProject Mathematics/PlanetMath Exchange/57-XX Manifolds and cell complexes
This page provides a list of all articles available at PlanetMath in the following topic:
- 57-XX Manifolds and cell complexes.
This list will be periodically updated. Each entry in the list has three fields:
- PM : The first field is the link to the PlanetMath article, along with the article's object ID.
- WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
- Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status | means PM article |
N | not needed |
A | adequately covered |
C | copied |
M | merged |
NC | needs copying |
NM | needs merging |
- Please update the WP and Status fields as appropriate.
- if the WP field is correct please remove the qualifier "guess".
- If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
- If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
- If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
- {{planetmath|id=|title=}} for copied over text
- {{planetmath reference|id=|title=}} for an external link
See the main page for examples and usage criteria.
One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.
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 calculus edit
57M07 Topological methods in group theory edit
- PM: motivic cohomology, id=8947new! -- WP guess: motivic cohomology -- Status:
57M10 Covering spaces edit
57M20 Two-dimensional complexes edit
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, asphericity edit
- 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 manifolds edit
- PM: Seifert fiber space, id=7831new! -- WP guess: Seifert fiber space -- Status:
57M99 Miscellaneous edit
- PM: Dehn surgery, id=4695 -- WP : Dehn surgery -- Status: NM
- Mikkalai 06:45, 14 Feb 2005 (UTC)
57Mxx Low-dimensional topology edit
57N10 Topology of general $3$-manifolds edit
- 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 manifolds edit
- PM: self-intersections of a curve, id=4959 -- WP guess: self-intersections of a curve -- Status:
57N17 Topology of topological vector spaces edit
57N70 Cobordism and concordance edit
- 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 Miscellaneous edit
- PM: orientation, id=3297 -- WP guess: orientation -- Status:
57Nxx Topological manifolds edit
57Q05 General topology of complexes edit
57Q20 Cobordism edit
57Qxx PL-topology edit
57R12 Smooth approximations edit
- PM: \mathcal{C}^r topologies, id=5555 -- WP guess: \mathcalC^r topologies, Whitney topology -- Status:
57R19 Algebraic topology on manifolds edit
- PM: handle decomposition, id=7180 -- WP guess: handle decomposition -- Status:
57R22 Topology of vector bundles and fiber bundles edit
- PM: hairy ball theorem, id=3646 -- WP guess: hairy ball theorem -- Status:
57R35 Differentiable mappings edit
- 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 Embeddings edit
- PM: abstract embedding, id=8679new! -- WP guess: abstract embedding -- Status:
57R42 Immersions edit
57R50 Diffeomorphisms edit
- 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 Isotopy edit
57R60 Homotopy spheres, Poincaré conjecture edit
- 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 submanifolds edit
- PM: round function, id=7687new! -- WP guess: round function -- Status:
57R99 Miscellaneous edit
- PM: transversality, id=4071 -- WP guess: transversality -- Status:
57Rxx Differential topology edit
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms edit
57S25 Groups acting on specific manifolds edit
- 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)