Skip to main content

All Questions

Filter by
Sorted by
Tagged with
12 votes
0 answers
917 views

Are the Alexander-Whitney and Eilenberg-Zilber maps homotopy inverse in arbitrary abelian categories?

Let $\mathcal{A}$ be a monoidal abelian category. Let $A$ and $B$ be simplicial objects in $\mathcal{A}$, and let $N_\ast(-)$ denote the normalized chain complex functor. Let $$AW_{A,B}\colon N_\ast(...
Richard Hepworth's user avatar
5 votes
0 answers
358 views

Long exact sequence of Quillen derived functors

Let $F:\mathcal A\to \mathcal B$ be an additive right exact functor between abelian categories $\mathcal A$ and $\mathcal B$. Then for a short exact sequence $$ 0\to A\to B\to C\to 0 $$ in $\mathcal A$...
res's user avatar
  • 385