Wikipedia:WikiProject Mathematics/PlanetMath Exchange/55-XX Algebraic topology

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This page provides a list of all articles available at PlanetMath in the following topic:

55-XX Algebraic topology.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. 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.
  3. 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.

[edit] 55-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

Tompw (talk) 14:26, 21 March 2007 (UTC)
Tompw (talk) 14:26, 21 March 2007 (UTC)

[edit] 55M05 Duality

Jtwdog 21:06, 26 September 2005 (UTC)

[edit] 55M20 Fixed points and coincidences

Tompw (talk) 14:26, 21 March 2007 (UTC)

[edit] 55M25 Degree, winding number

Tompw (talk) 14:26, 21 March 2007 (UTC)

[edit] 55M30 Ljusternik-Schnirelman (Lyusternik-Shnirelman) category of a space

  • PM: t-cat, id=7919new! -- WP guess: t-cat -- Status:

[edit] 55M99 Miscellaneous

Tompw (talk) 14:26, 21 March 2007 (UTC)

[edit] 55Mxx Classical topics

[edit] 55N05 Cech types

[edit] 55N10 Singular theory

Tompw (talk) 14:26, 21 March 2007 (UTC)
Tompw (talk) 14:26, 21 March 2007 (UTC)
Tompw (talk) 14:26, 21 March 2007 (UTC)
Tompw (talk) 15:12, 23 March 2007 (UTC)
linas 14:37, 18 April 2007 (UTC)

[edit] 55N25 Homology with local coefficients, equivariant cohomology

[edit] 55N45 Products and intersections

[edit] 55N99 Miscellaneous

[edit] 55Nxx Homology and cohomology theories

[edit] 55P05 Homotopy extension properties, cofibrations

[edit] 55P10 Homotopy equivalences

Jtwdog 21:06, 26 September 2005 (UTC)
Jtwdog 21:06, 26 September 2005 (UTC)
Jtwdog 21:06, 26 September 2005 (UTC)

[edit] 55P15 Classification of homotopy type

Jtwdog 20:04, 26 September 2005 (UTC)

[edit] 55P20 Eilenberg-Mac Lane spaces

Jtwdog 21:06, 26 September 2005 (UTC)

[edit] 55P45 $$-spaces and duals

[edit] 55P99 Miscellaneous

Jtwdog 21:06, 26 September 2005 (UTC)
Changed from A to NC, as the PM article is currently deeper than the WP single-sentence defnintion. linas 14:54, 15 April 2007 (UTC)

[edit] 55Pxx Homotopy theory

[edit] 55Q05 Homotopy groups, general; sets of homotopy classes

linas 14:59, 15 April 2007 (UTC)
The PM article has commuting diagrams that should be copied over. linas 15:03, 15 April 2007 (UTC)
Another nice box diagram to be copied over. linas 15:08, 15 April 2007 (UTC)

[edit] 55Q52 Homotopy groups of special spaces

[edit] 55Qxx Homotopy groups

[edit] 55R05 Fiber spaces

linas 04:45, 20 December 2006 (UTC)

[edit] 55R10 Fiber bundles

  • PM: fibre map, id=6087new! -- WP guess: fibre map -- Status:

[edit] 55R15 Classification

[edit] 55R25 Sphere bundles and vector bundles

[edit] 55R65 Generalizations of fiber spaces and bundles

[edit] 55Rxx Fiber spaces and bundles

[edit] 55S37 Classification of mappings

  • PM: wild, id=9135new! -- WP guess: wild -- Status:

[edit] 55Sxx Operations and obstructions

[edit] 55T05 General

[edit] 55Txx Spectral sequences

[edit] 55U05 Abstract complexes

[edit] 55U10 Simplicial sets and complexes

[edit] 55Uxx Applied homological algebra and category theory