Coherent functors in stable homotopy theory

Henning Krause¹

¹ Fakultät für Mathematik Universität Bielefeld 33501 Bielefeld, Germany

Fundamenta Mathematicae, Tome 173 (2002) no. 1, pp. 33-56

Résumé

Coherent functors ${{\cal S}}\to \mathop {\rm Ab}\nolimits $ from a compactly generated triangulated category into the category of abelian groups are studied. This is inspired by Auslander's classical analysis of coherent functors from a fixed abelian category into abelian groups. We characterize coherent functors and their filtered colimits in various ways. In addition, we investigate certain subcategories of ${{\cal S}}$ which arise from families of coherent functors.

Détail

DOI : 10.4064/fm173-1-3

Keywords: coherent functors cal mathop nolimits compactly generated triangulated category category abelian groups studied inspired auslanders classical analysis coherent functors fixed abelian category abelian groups characterize coherent functors their filtered colimits various ways addition investigate certain subcategories cal which arise families coherent functors