Connected sequences of stable derived functors and their applications

Daniel Simson ; Andrzej Tyc

GDML_Books, (1974), p.

Résumé

CONTENTS1. Introduction........................................................................................................................................................................................................ 52. Category of complexes.................................................................................................................................................................................... 73. Left stable derived functors of covariant functors....................................................................................................................................... 114. Functors with, extensions............................................................................................................................................................................... 245. On the exactness of connected sequences................................................................................................................................................ 376. Right and left stable derived functors of contravariant functors. Right stable derived functors of covariant functors................... 397. Symmetric power functor $SP^n$ and exterior power functor $Λ^n$..................................................................................................... 438. On J. H. C. Whitehead’s functor Γ.................................................................................................................................................................. 489. Computation of the modules $L^s_qSP^2(R)$, $L^s_qΛ^2(R)$ and $L^s_qΓ(R)$........................................................................... 5310. Computation of the functors $L^s_qSP^2$, $L^s_qΛ^2$ and $L^s_qΓ$............................................................................................ 5911. Eilenberg-MacLane’s stable homology and cohomology functors...................................................................................................... 64References............................................................................................................................................................................................................ 67

Détail

Zbl 0279.18010

EUDML-ID : urn:eudml:doc:268482