CONTENTS
1. Introduction........................................................................................................................................................................................................ 5
2. Category of complexes.................................................................................................................................................................................... 7
3. Left stable derived functors of covariant functors....................................................................................................................................... 11
4. Functors with, extensions............................................................................................................................................................................... 24
5. On the exactness of connected sequences................................................................................................................................................ 37
6. Right and left stable derived functors of contravariant functors. Right stable derived functors of covariant functors................... 39
7. Symmetric power functor $SP^n$ and exterior power functor $Λ^n$..................................................................................................... 43
8. On J. H. C. Whitehead's functor Γ.................................................................................................................................................................. 48
9. Computation of the modules $L^s_qSP^2(R)$, $L^s_qΛ^2(R)$ and $L^s_qΓ(R)$........................................................................... 53
10. Computation of the functors $L^s_qSP^2$, $L^s_qΛ^2$ and $L^s_qΓ$............................................................................................ 59
11. Eilenberg-MacLane's stable homology and cohomology functors...................................................................................................... 64
References............................................................................................................................................................................................................ 67