Title: Le theoreme de Quillen, d'adjonction des foncteurs derives, revisite

Author: Georges MALTSINIOTIS 

AMS Classification Numbers: 18A40, 18E35, 18G10, 18G55, 55P60, 55U35 

English Translation: math.AT/0611952 

Address:
Université Paris 7 Denis Diderot 
Case Postale 7012 
2, place Jussieu 
F-75251 PARIS CEDEX 05 

Email address: 
maltsin@math.jussieu.fr 

Abstract:
The aim of this paper is to present a very simple original, purely
formal, proof of Quillen's adjunction theorem for derived functors, and
of some more recent variations and generalizations of this theorem. This
is obtained by proving an abstract adjunction theorem for "absolute"
derived functors. In contrast with all known proofs, the explicit
construction of the derived functors is not used.