Not signed in (Sign In)

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Sign in using OpenID

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMay 12th 2010
• (edited May 12th 2010)

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 $Tot C F_{\bullet,\bullet}$? Isn’t that isomorphic?