/sci/ - Science & Math

>>11937259
It's a mixture of homotopy, representations, group cohomology, homology of categories etc. Basically, my supervisor and his friends came up with a structure they manged to use in order to generalise the methods of a certain paper where the author starts with a groups and obtains the homology of its loop space (completed in the sense of Bousfield and Kan) purely algebraically (or is it algebraicly?). They also showed that this structure of theirs could be used for much more, yet never had time to actually find out what this "much more" is. This is where I step in. Sorry for the somewhat vague description, I'd just doxx myself very easily (regardless of whether anyone actually cared to look me up or not, I don't like the idea on a personal level). Anyhow, currently looking at this things potential connections to Bredon cohomology.

>>11937278
Thanks! The touhou poster is active too.

I'm autistic but I would do anything for my boyfriend.

>>11916513
For a graded module, there is the filtration where you filter it as if you were dealing with the skeleta of a CW complex. More precisely, your filtration degree (can't think of a better word at the moment) n tells you you take the "n-skeleton" of your module - the degrees up to n. Now, notice that you have the graded module [math]H_*(X; R) = \sum_{n\in\mathbb{N}} H_n(X; R)[/math], and apply the filtration above to this.