Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
1 to 1 of 1
Maybe somebody can quickly help me out. I think I knew the answer to the following question, but now I must have gotten myself mixed up:
let $F : \Delta \times \Delta \to Ab$ be a bi-cosimplicial abelian group and
$diag F \simeq \int^{n} \Delta^n \cdot F_{n,\bullet}$the corresponding cosimplicial group. From the Eilenberg-Zilber theorem we have that its cochain complex is the total complex of the double complex obtained from $F$
$C diag F \simeq Tot C F \,.$But what I need is instead such a statement for the end expression
$\int_n C(\mathbb{Z}(\Delta^n)) \otimes C(F_{n,\bullet})$How is that related to $Tot C F_{\bullet,\bullet}$? Isnâ€™t that isomorphic?
1 to 1 of 1