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This is a list of things to add/improve in no particular order. Some topics may have their own article, in which case, a pointer can be added with less information than otherwise would be called for.
Add a section on reduced homology
Mention the universal coefficient theorem somewhere appropriate
Add a table giving (Z-)homology of some common example spaces
n-sphere
n-torus
genus g surface
real/complex protective spaces
Add a properties section including:
Excision/Mayer-Vietoris
Homology of a disjoint union and of a wedge sum
Homology of a suspension
Künneth formula
Work in the fact that gives the number of path connected components
...?
Add a section on the homology of a point as an example
The way that the singular chain complex is presented needs to be cleaned up significantly
Header added. —Nils von Barth (nbarth) (talk) 21:08, 26 July 2009 (UTC)[reply]
Why does singular cohomology link to this page, if cohomology is never mentioned? 3:58 PM CST 28 Dec 2004.
I think a table of common homology groups or a link to one (should someone know where one might be found)
would be very useful. Alexwright 19:57, 29 November 2006 (UTC)[reply]
What is Z_n in the section "Singular chain complex". It seems to be invoked without having ever been defined. Should it be C_n? Or do you mean the center of something?72.69.194.235 (talk) 21:15, 28 November 2009 (UTC)[reply]
May defines C_n to be on the nondegenerate singular simplices. Perhaps the article should mention alternative definitinos?165.124.97.20 (talk) 18:43, 16 May 2011 (UTC)[reply]
