Talk:Homological algebra

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

Good catch. Corrected. Arcfrk (talk) 05:14, 17 June 2008 (UTC)[reply]

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)[reply]

Assessment comment

The comment(s) below were originally left at Talk:Homological algebra/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

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)[reply]

Last edited at 21:05, 14 May 2007 (UTC). Substituted at 02:13, 5 May 2016 (UTC)