hyperhomology of modules devoted to cartan -eilenberg

but relative hyperhomology even has not been worked

let T=Tot(KOY) s.t O=tensor product

if A is a sub total complex of T in this case there exist K_n_and Y_m

s.t A=Tot(K_nOY_m) we have exact sequence of relative Total complexes

---->Tot(K_0OY_0)----->Tot(KOY)----->(Tot(KOY),A)---->Tot(A)--->.....

with use of effect of Homology functor for above exact sequence we have following exact sequence :

----->H_n(Tot(K_nOY_m)---->H_n(Tot(KOY)----->H_n(T,A)----H_n-1(A)--->

now we provide that priliminaries for relative (co)hyperhomology two complex of sheavesand relative (co)homology of sheaves

with the best wishes darush.aghababayeedehkordi

updated by @dariushaghababayeedehkordi: 21/06/17 01:16:09PM