Talk:Homological algebra

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Mathematics rating:	Start Class	Top Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. This should become the overview article on homological algebra (AMS MSC 18), and should have links to more extensive coverage of topics (e.g., chain complexes, abelian categories, derived functors, Tor, Ext, derived categories,...). I could also argue for Top importance. Stca74 21:05, 14 May 2007 (UTC)

[edit] Unorthodox definition of singular homology?

The text states "if X is a topological space then the singular chains C_n(X) are formal linear combinations of continuous maps from the n-sphere into X". The more common definition is based on maps from the topological n-simplex into X, equivalently, from the closed n-ball into X. June 7-th 2008

[edit] New To Advanced Math

Hi; I'm trying desperately to understand many of these advanced principals of mathematics, such as hmological algebra, but no matter how many times I review the material, it doesn't sink in. Could someone please provide examples, problems to solve (with their solutions) and/or ways to visualize this? beno 26 Jan 2006

How much math have you studied? At a minimum you should know the basic properties of groups, rings, fields, and modules from abstract algebra, along with the basic fundaments of algebraic topology. I suppose chain complexes would be a concrete place to start. Learning all of this stuff typically takes years of study. - Gauge 07:26, 28 January 2006 (UTC)