Cartan-Eilenberg created homological algebra on modules over rings. I wonder why they didn't develop it also on sheaves over ringed spaces. Grothendieck and Godement did that soon after(or almost at the same time as) the publication of the book "Homological algebra". Cartan was an expert on sheaf theory. So I think he was well aware of the possibility. I think it's strange.
Why didn't Cartan-Eilenberg develop homological algebra on sheaf theory?
6
$\begingroup$
soft-question
homological-algebra
sheaf-theory
-
0I think the following is related, but I am not sure how to link the two (I just begun using this program). Here it is here: http://math.stackexchange.com/questions/650275/cartan-and-eilenberg-homological-algebra Hopefully I did not cause an international incident by inserting the url... – 2014-01-25