On Some Relationships Between Spectral Sequences And The New Exact Sequences
In this paper I introduce and study relationships between spectral
sequences and the new exact sequences . I will show that the new exact sequence is the second derived exact couple .
be an exact couple , we derive to get the second exact couple which is the new exact sequence . the process of derivation can
be iterated indefinitely, yielding an infinite sequence of exact couples .
I establish some results ,for examples ;
The class of all exact couples and morphisms between these couples formed a category . There is a functor from the category of into .
If be any , then
, and .