By Saunders Mac Lane (auth.)
In proposing this therapy of homological algebra, it's a excitement to recognize the assistance and encouragement which i've got had from both sides. Homological algebra arose from many resources in algebra and topology. Decisive examples got here from the learn of workforce extensions and their issue units, an issue I realized in joint paintings with OTTO SCHIL LING. yet another improvement of homological rules, which will their topological purposes, got here in my lengthy collaboration with SAMUEL ElLENBERG; to either collaborators, especial thank you. for a few years the Air strength place of work of clinical examine supported my learn tasks on a number of matters now summarized right here; it's a excitement to recognize their full of life realizing of easy technology. either REINHOLD BAER and JOSEF SCHMID learn and commented on my whole manuscript; their recommendation has resulted in many advancements. ANDERS KOCK and JACQUES RIGUET have learn the total galley evidence and stuck many slips and obscurities. one of the others whose sug gestions have served me good, I be aware FRANK ADAMS, LOUIS AUSLANDER, WILFRED COCKCROFT, ALBRECHT DOLD, GEOFFREY HORROCKS, FRIED wealthy KASCH, JOHANN LEICHT, ARUNAS LIULEVICIUS, JOHN MOORE, DIE TER PUPPE, JOSEPH YAO, and a few my present scholars on the collage of Chicago - to not m~ntion the auditors of my lectures at Chicago, Heidelberg, Bonn, Frankfurt, and Aarhus. My spouse, DOROTHY, has cheerfully typed extra types of extra chapters than she wish to count number. Messrs.