Talk:Singular homology/to do

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 $$H_0$$ 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
 * Equivalence with cellular homology
 * Equivalence with cellular homology