This page provides a list of all articles available at PlanetMath in the following topic:
- 58-XX Global analysis, analysis on manifolds.
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.
- PM: Morse homology, id=7174 -- WP guess: Morse homology -- Status:
- PM: differential form, id=3050 -- WP: differential form -- Status: A
- The WP article on this seems a little thin, but I don't think the PM content would help much. Jtwdog 17:57, 28 September 2005 (UTC)
- PM: formulas for differential forms of small valence, id=6981 -- WP guess: formulas for differential forms of small valence -- Status:
- PM: common formulas in calculus of differential forms, id=7844new! -- WP guess: common formulas in calculus of differential forms -- Status:
- PM: jet bundle, id=7333 -- WP guess: jet bundle -- Status:
- PM: current, id=5980 -- WP: current (mathematics) -- Status: C
- Jtwdog 18:09, 28 October 2005 (UTC)
- PM: rectifiable current, id=6001 -- WP guess: rectifiable current -- Status: N
- This seems to be getting a little too technical. That may just be my prejudice against functional analysis, though. Jtwdog 17:55, 28 September 2005 (UTC)
- PM: conormal bundle, id=4759 -- WP: conormal bundle -- Status: NM
- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: cotangent bundle, id=4757 -- WP: cotangent bundle -- Status: A
- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: cotangent bundle is a bundle, id=6593 -- WP: cotangent bundle -- Status: N
- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: normal bundle, id=4758 -- WP: normal bundle -- Status: NM
- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: Poincaré 1-form, id=6405 -- WP: cotangent bundle -- Status: NM
- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: proof that transition functions of cotangent bundle are valid, id=6550 -- WP: cotangent bundle -- Status: N
- Jtwdog 18:06, 28 September 2005 (UTC)
- PM: tangent bundle, id=4756 -- WP: tangent bundle -- Status: A
- PM: Finsler geometry, id=6780 -- WP guess: Finsler geometry -- Status:
- PM: general Stokes theorem, id=3052 -- WP: Stokes theorem -- Status: A
- Jtwdog 18:13, 28 September 2005 (UTC)
- PM: proof of general Stokes theorem, id=4370 -- WP: Stokes theorem -- Status: N
- Jtwdog 18:13, 28 September 2005 (UTC)
- PM: spectral radius, id=3703 -- WP guess: spectral radius -- Status: A
- Jtwdog 18:14, 28 September 2005 (UTC)
58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.)
- PM: Morse complex, id=4633 -- WP: Morse function -- Status: A
- Jtwdog 18:17, 28 September 2005 (UTC)
- PM: Morse function, id=4632 -- WP: Morse function -- Status: A
- Jtwdog 18:17, 28 September 2005 (UTC)
- PM: Morse lemma, id=4631 -- WP: Morse lemma -- Status: A
- Jtwdog 18:17, 28 September 2005 (UTC)
- PM: centralizer, id=4978 -- WP: centralizer -- Status:A
- Oleg Alexandrov 22:52, 13 September 2005 (UTC)